Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 779/64,7009/816
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 779,7009
Greatest Common Factor of Numerators i.e. GCF of 779,7009 is 1 .
LCM of Denominators means LCM of 64,816 as per the given fractions.
LCM of 64,816 is 3264 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 779,7009
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 779
List of positive integer factors of 779 that divides 779 without a remainder.
1,19,41,779
Factors of 7009
List of positive integer factors of 7009 that divides 7009 without a remainder.
1,43,163,7009
Greatest Common Factor
We found the factors 779,7009 . The biggest common factor number is the GCF number.
So the greatest common factor 779,7009 is 1.
Lets's calculate LCM of 64,816
2 | 64, 816 |
2 | 32, 408 |
2 | 16, 204 |
2 | 8, 102 |
4, 51 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 4 x 51 = 3264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3264
Therefore, the GCF of Fractions 779/64,7009/816 is 1/3264
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 64,816 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(64,816) = 16
common factors(in case of two or more numbers have common factors) = 1
GCF(64,816) x common factors =16 x 1 = 16
LCM(64,816) = ( 64 × 816 ) / 16
LCM(64,816) = 52224 / 16
LCM(64,816) = 3264
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 779/64, 7009/816?
Answer: GCF of Numerators as per given numbers 779/64, 7009/816 is
GCF of Numerators i.e. for 779,7009 is 1
LCM of denominators i.e. for 64,816 is 3264.
Thus, GCF of Fractions is 1/3264.Finally, GCF of Fractions for 779/64, 7009/816 is 1/3264.