Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 9602/267,7747/7816
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 9602,7747
Greatest Common Factor of Numerators i.e. GCF of 9602,7747 is 1 .
LCM of Denominators means LCM of 267,7816 as per the given fractions.
LCM of 267,7816 is 2086872 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 9602,7747
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 9602
List of positive integer factors of 9602 that divides 9602 without a remainder.
1,2,4801,9602
Factors of 7747
List of positive integer factors of 7747 that divides 7747 without a remainder.
1,61,127,7747
Greatest Common Factor
We found the factors 9602,7747 . The biggest common factor number is the GCF number.
So the greatest common factor 9602,7747 is 1.
Lets's calculate LCM of 267,7816
Given numbers has no common factors except 1. So, there LCM is their product i.e 2086872
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2086872
Therefore, the GCF of Fractions 9602/267,7747/7816 is 1/2086872
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 267,7816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(267,7816) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(267,7816) x common factors =1 x 1 = 1
LCM(267,7816) = ( 267 × 7816 ) / 1
LCM(267,7816) = 2086872 / 1
LCM(267,7816) = 2086872
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 9602/267, 7747/7816?
Answer: GCF of Numerators as per given numbers 9602/267, 7747/7816 is
GCF of Numerators i.e. for 9602,7747 is 1
LCM of denominators i.e. for 267,7816 is 2086872.
Thus, GCF of Fractions is 1/2086872.Finally, GCF of Fractions for 9602/267, 7747/7816 is 1/2086872.