Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7725/688,7173/951
Formula to find GCF of Fractions is
GCF = GCF of Numerators/LCM of Denominators
As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators
In the given fractions GCF of Numerators means GCF of 7725,7173
Greatest Common Factor of Numerators i.e. GCF of 7725,7173 is 3 .
LCM of Denominators means LCM of 688,951 as per the given fractions.
LCM of 688,951 is 654288 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7725,7173
3 | 7725, 7173 |
2575, 2391 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7725
List of positive integer factors of 7725 that divides 7725 without a remainder.
1,3,5,15,25,75,103,309,515,1545,2575,7725
Factors of 7173
List of positive integer factors of 7173 that divides 7173 without a remainder.
1,3,9,797,2391,7173
Greatest Common Factor
We found the factors 7725,7173 . The biggest common factor number is the GCF number.
So the greatest common factor 7725,7173 is 3.
Lets's calculate LCM of 688,951
Given numbers has no common factors except 1. So, there LCM is their product i.e 654288
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/654288
Therefore, the GCF of Fractions 7725/688,7173/951 is 3/654288
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 688,951 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(688,951) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(688,951) x common factors =1 x 1 = 1
LCM(688,951) = ( 688 × 951 ) / 1
LCM(688,951) = 654288 / 1
LCM(688,951) = 654288
Here are some samples of GCF of Fractions calculations.
Here are some samples of GCF of Fractions calculations.
1. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
2. What is the GCF of Fractions for 7725/688, 7173/951?
Answer: GCF of Numerators as per given numbers 7725/688, 7173/951 is
GCF of Numerators i.e. for 7725,7173 is 3
LCM of denominators i.e. for 688,951 is 654288.
Thus, GCF of Fractions is 3/654288.Finally, GCF of Fractions for 7725/688, 7173/951 is 3/654288.