Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 947/764,6916/8773
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 947,6916
Greatest Common Factor of Numerators i.e. GCF of 947,6916 is 1 .
LCM of Denominators means LCM of 764,8773 as per the given fractions.
LCM of 764,8773 is 6702572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 947,6916
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 947
List of positive integer factors of 947 that divides 947 without a remainder.
1,947
Factors of 6916
List of positive integer factors of 6916 that divides 6916 without a remainder.
1,2,4,7,13,14,19,26,28,38,52,76,91,133,182,247,266,364,494,532,988,1729,3458,6916
Greatest Common Factor
We found the factors 947,6916 . The biggest common factor number is the GCF number.
So the greatest common factor 947,6916 is 1.
Lets's calculate LCM of 764,8773
Given numbers has no common factors except 1. So, there LCM is their product i.e 6702572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6702572
Therefore, the GCF of Fractions 947/764,6916/8773 is 1/6702572
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 764,8773 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(764,8773) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(764,8773) x common factors =1 x 1 = 1
LCM(764,8773) = ( 764 × 8773 ) / 1
LCM(764,8773) = 6702572 / 1
LCM(764,8773) = 6702572
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 947/764, 6916/8773?
Answer: GCF of Numerators as per given numbers 947/764, 6916/8773 is
GCF of Numerators i.e. for 947,6916 is 1
LCM of denominators i.e. for 764,8773 is 6702572.
Thus, GCF of Fractions is 1/6702572.Finally, GCF of Fractions for 947/764, 6916/8773 is 1/6702572.