Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 7713/91,8889/916
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 7713,8889
Greatest Common Factor of Numerators i.e. GCF of 7713,8889 is 3 .
LCM of Denominators means LCM of 91,916 as per the given fractions.
LCM of 91,916 is 83356 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 7713,8889
3 | 7713, 8889 |
2571, 2963 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 7713
List of positive integer factors of 7713 that divides 7713 without a remainder.
1,3,9,857,2571,7713
Factors of 8889
List of positive integer factors of 8889 that divides 8889 without a remainder.
1,3,2963,8889
Greatest Common Factor
We found the factors 7713,8889 . The biggest common factor number is the GCF number.
So the greatest common factor 7713,8889 is 3.
Lets's calculate LCM of 91,916
Given numbers has no common factors except 1. So, there LCM is their product i.e 83356
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/83356
Therefore, the GCF of Fractions 7713/91,8889/916 is 3/83356
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 91,916 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(91,916) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(91,916) x common factors =1 x 1 = 1
LCM(91,916) = ( 91 × 916 ) / 1
LCM(91,916) = 83356 / 1
LCM(91,916) = 83356
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 7713/91, 8889/916?
Answer: GCF of Numerators as per given numbers 7713/91, 8889/916 is
GCF of Numerators i.e. for 7713,8889 is 3
LCM of denominators i.e. for 91,916 is 83356.
Thus, GCF of Fractions is 3/83356.Finally, GCF of Fractions for 7713/91, 8889/916 is 3/83356.