Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 861/631,729/452,560/938
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 861,729,560
Greatest Common Factor of Numerators i.e. GCF of 861,729,560 is 1 .
LCM of Denominators means LCM of 631,452,938 as per the given fractions.
LCM of 631,452,938 is 133764428 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 861,729,560
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 861
List of positive integer factors of 861 that divides 861 without a remainder.
1,3,7,21,41,123,287,861
Factors of 729
List of positive integer factors of 729 that divides 729 without a remainder.
1,3,9,27,81,243,729
Factors of 560
List of positive integer factors of 560 that divides 560 without a remainder.
1,2,4,5,7,8,10,14,16,20,28,35,40,56,70,80,112,140,280,560
Greatest Common Factor
We found the factors 861,729,560 . The biggest common factor number is the GCF number.
So the greatest common factor 861,729,560 is 1.
Lets's calculate LCM of 631,452,938
2 | 631, 452, 938 |
631, 226, 469 |
∴ So the LCM of the given numbers is 2 x 631 x 226 x 469 = 133764428
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/133764428
Therefore, the GCF of Fractions 861/631,729/452,560/938 is 1/133764428
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 631,452,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(631,452,938) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(631,452,938) x common factors =1 x 2 = 2
LCM(631,452,938) = ( 631 × 452 × 938 ) / 2
LCM(631,452,938) = 267528856 / 2
LCM(631,452,938) = 133764428
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 861/631, 729/452, 560/938?
Answer: GCF of Numerators as per given numbers 861/631, 729/452, 560/938 is
GCF of Numerators i.e. for 861,729,560 is 1
LCM of denominators i.e. for 631,452,938 is 133764428.
Thus, GCF of Fractions is 1/133764428.Finally, GCF of Fractions for 861/631, 729/452, 560/938 is 1/133764428.