Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7116/53,9402/641
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 7116,9402
Greatest Common Factor of Numerators i.e. GCF of 7116,9402 is 6 .
LCM of Denominators means LCM of 53,641 as per the given fractions.
LCM of 53,641 is 33973 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7116,9402
2 | 7116, 9402 |
3 | 3558, 4701 |
1186, 1567 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Factors of 7116
List of positive integer factors of 7116 that divides 7116 without a remainder.
1,2,3,4,6,12,593,1186,1779,2372,3558,7116
Factors of 9402
List of positive integer factors of 9402 that divides 9402 without a remainder.
1,2,3,6,1567,3134,4701,9402
Greatest Common Factor
We found the factors 7116,9402 . The biggest common factor number is the GCF number.
So the greatest common factor 7116,9402 is 6.
Lets's calculate LCM of 53,641
Given numbers has no common factors except 1. So, there LCM is their product i.e 33973
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/33973
Therefore, the GCF of Fractions 7116/53,9402/641 is 6/33973
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 53,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(53,641) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(53,641) x common factors =1 x 1 = 1
LCM(53,641) = ( 53 × 641 ) / 1
LCM(53,641) = 33973 / 1
LCM(53,641) = 33973
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 7116/53, 9402/641?
Answer: GCF of Numerators as per given numbers 7116/53, 9402/641 is
GCF of Numerators i.e. for 7116,9402 is 6
LCM of denominators i.e. for 53,641 is 33973.
Thus, GCF of Fractions is 6/33973.Finally, GCF of Fractions for 7116/53, 9402/641 is 6/33973.