Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6392/12,9655/767
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 6392,9655
Greatest Common Factor of Numerators i.e. GCF of 6392,9655 is 1 .
LCM of Denominators means LCM of 12,767 as per the given fractions.
LCM of 12,767 is 9204 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6392,9655
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6392
List of positive integer factors of 6392 that divides 6392 without a remainder.
1,2,4,8,17,34,47,68,94,136,188,376,799,1598,3196,6392
Factors of 9655
List of positive integer factors of 9655 that divides 9655 without a remainder.
1,5,1931,9655
Greatest Common Factor
We found the factors 6392,9655 . The biggest common factor number is the GCF number.
So the greatest common factor 6392,9655 is 1.
Lets's calculate LCM of 12,767
Given numbers has no common factors except 1. So, there LCM is their product i.e 9204
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9204
Therefore, the GCF of Fractions 6392/12,9655/767 is 1/9204
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 12,767 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(12,767) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(12,767) x common factors =1 x 1 = 1
LCM(12,767) = ( 12 × 767 ) / 1
LCM(12,767) = 9204 / 1
LCM(12,767) = 9204
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 6392/12, 9655/767?
Answer: GCF of Numerators as per given numbers 6392/12, 9655/767 is
GCF of Numerators i.e. for 6392,9655 is 1
LCM of denominators i.e. for 12,767 is 9204.
Thus, GCF of Fractions is 1/9204.Finally, GCF of Fractions for 6392/12, 9655/767 is 1/9204.