Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 156/77,387/2077
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 156,387
Greatest Common Factor of Numerators i.e. GCF of 156,387 is 3 .
LCM of Denominators means LCM of 77,2077 as per the given fractions.
LCM of 77,2077 is 159929 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 156,387
3 | 156, 387 |
52, 129 |
∴ So the GCF of the given numbers is 3 = 3
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 387
List of positive integer factors of 387 that divides 387 without a remainder.
1,3,9,43,129,387
Greatest Common Factor
We found the factors 156,387 . The biggest common factor number is the GCF number.
So the greatest common factor 156,387 is 3.
Lets's calculate LCM of 77,2077
Given numbers has no common factors except 1. So, there LCM is their product i.e 159929
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/159929
Therefore, the GCF of Fractions 156/77,387/2077 is 3/159929
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 77,2077 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(77,2077) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(77,2077) x common factors =1 x 1 = 1
LCM(77,2077) = ( 77 × 2077 ) / 1
LCM(77,2077) = 159929 / 1
LCM(77,2077) = 159929
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 156/77, 387/2077?
Answer: GCF of Numerators as per given numbers 156/77, 387/2077 is
GCF of Numerators i.e. for 156,387 is 3
LCM of denominators i.e. for 77,2077 is 159929.
Thus, GCF of Fractions is 3/159929.Finally, GCF of Fractions for 156/77, 387/2077 is 3/159929.