Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7725/89,9387/929
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 7725,9387
Greatest Common Factor of Numerators i.e. GCF of 7725,9387 is 3 .
LCM of Denominators means LCM of 89,929 as per the given fractions.
LCM of 89,929 is 82681 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7725,9387
3 | 7725, 9387 |
2575, 3129 |
∴ 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 9387
List of positive integer factors of 9387 that divides 9387 without a remainder.
1,3,7,9,21,63,149,447,1043,1341,3129,9387
Greatest Common Factor
We found the factors 7725,9387 . The biggest common factor number is the GCF number.
So the greatest common factor 7725,9387 is 3.
Lets's calculate LCM of 89,929
Given numbers has no common factors except 1. So, there LCM is their product i.e 82681
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/82681
Therefore, the GCF of Fractions 7725/89,9387/929 is 3/82681
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 89,929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(89,929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(89,929) x common factors =1 x 1 = 1
LCM(89,929) = ( 89 × 929 ) / 1
LCM(89,929) = 82681 / 1
LCM(89,929) = 82681
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 7725/89, 9387/929?
Answer: GCF of Numerators as per given numbers 7725/89, 9387/929 is
GCF of Numerators i.e. for 7725,9387 is 3
LCM of denominators i.e. for 89,929 is 82681.
Thus, GCF of Fractions is 3/82681.Finally, GCF of Fractions for 7725/89, 9387/929 is 3/82681.