Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 8132/916,7365/2724
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 8132,7365
Greatest Common Factor of Numerators i.e. GCF of 8132,7365 is 1 .
LCM of Denominators means LCM of 916,2724 as per the given fractions.
LCM of 916,2724 is 623796 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 8132,7365
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 8132
List of positive integer factors of 8132 that divides 8132 without a remainder.
1,2,4,19,38,76,107,214,428,2033,4066,8132
Factors of 7365
List of positive integer factors of 7365 that divides 7365 without a remainder.
1,3,5,15,491,1473,2455,7365
Greatest Common Factor
We found the factors 8132,7365 . The biggest common factor number is the GCF number.
So the greatest common factor 8132,7365 is 1.
Lets's calculate LCM of 916,2724
2 | 916, 2724 |
2 | 458, 1362 |
229, 681 |
∴ So the LCM of the given numbers is 2 x 2 x 229 x 681 = 623796
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/623796
Therefore, the GCF of Fractions 8132/916,7365/2724 is 1/623796
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 916,2724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(916,2724) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(916,2724) x common factors =4 x 1 = 4
LCM(916,2724) = ( 916 × 2724 ) / 4
LCM(916,2724) = 2495184 / 4
LCM(916,2724) = 623796
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 8132/916, 7365/2724?
Answer: GCF of Numerators as per given numbers 8132/916, 7365/2724 is
GCF of Numerators i.e. for 8132,7365 is 1
LCM of denominators i.e. for 916,2724 is 623796.
Thus, GCF of Fractions is 1/623796.Finally, GCF of Fractions for 8132/916, 7365/2724 is 1/623796.