75 = 3*5*5, so the first pair that comes to mind is 3*5 and 5*5.
LCM(15, 25) = 75.
And it conveniently happens to be that GCD*(15, 25) = 5.
So {15, 25} is the answer (at least an answer).
*GCD is "Greatest Common Divisor" and a more official way of saying GCF.
* * * * *
Yes, it is an answer.
Consider LCM/GCF = 75/5 = 15
If p and q are any two coprime factors of LCM/GCF = 15, then p*GCF and q*GCF will be an answer.
The above answer used p = 3 and q = 5.
The other possible pair is p = 1 and q = 15 which gives the pair as 5 and 75.
10 and 120
To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.
the two smallest numbers are 49 and 14
The GCF is a single number so there cannot be any pair of numbers in the answer.
8 and 16
10 and 120
To find a pair of numbers with a given GCF, take the GCF number and double it. The pair of numbers is the GCF, and two times the GCF. For instance, two numbers with a GCF of 3 are 3 and 6.
The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.
numbers which are co prime have a GCF as 1 For example *2,3 *37,47 *23,24
which pair of numbers from 1 to 30 has the LCM OF 120
A number pair whose GCF is the same as one of the numbers is i , i x j where i and j are integers greater than zero. If i=3 and j=5 then the number pair will be 3,15. The GCF is 3. If i=7 and j=11 the number pair will be 7,77 and the GCF 7. The number of possible solutions is infinite.
The product of the GCF and the LCM of two numbers is equal to the product of the original two numbers. Multiply the GCF and the LCM. The original two numbers will be another factor pair of that total. Find the factor pair that has that GCF and LCM.
2
4 and 9
The pair of numbers whose GCF is 1 and LCM is 36 is 9 and 4. The numbers should be greater than their GCF and less than their LCM.
the two smallest numbers are 49 and 14
The GCF is a single number so there cannot be any pair of numbers in the answer.