Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 156/729,2589/685
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 156,2589
Greatest Common Factor of Numerators i.e. GCF of 156,2589 is 3 .
LCM of Denominators means LCM of 729,685 as per the given fractions.
LCM of 729,685 is 499365 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 156,2589
3 | 156, 2589 |
52, 863 |
∴ 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 2589
List of positive integer factors of 2589 that divides 2589 without a remainder.
1,3,863,2589
Greatest Common Factor
We found the factors 156,2589 . The biggest common factor number is the GCF number.
So the greatest common factor 156,2589 is 3.
Lets's calculate LCM of 729,685
Given numbers has no common factors except 1. So, there LCM is their product i.e 499365
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/499365
Therefore, the GCF of Fractions 156/729,2589/685 is 3/499365
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 729,685 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,685) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,685) x common factors =1 x 1 = 1
LCM(729,685) = ( 729 × 685 ) / 1
LCM(729,685) = 499365 / 1
LCM(729,685) = 499365
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 156/729, 2589/685?
Answer: GCF of Numerators as per given numbers 156/729, 2589/685 is
GCF of Numerators i.e. for 156,2589 is 3
LCM of denominators i.e. for 729,685 is 499365.
Thus, GCF of Fractions is 3/499365.Finally, GCF of Fractions for 156/729, 2589/685 is 3/499365.