Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 586/929,695/446,714/176
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 586,695,714
Greatest Common Factor of Numerators i.e. GCF of 586,695,714 is 1 .
LCM of Denominators means LCM of 929,446,176 as per the given fractions.
LCM of 929,446,176 is 36461392 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 586,695,714
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 586
List of positive integer factors of 586 that divides 586 without a remainder.
1,2,293,586
Factors of 695
List of positive integer factors of 695 that divides 695 without a remainder.
1,5,139,695
Factors of 714
List of positive integer factors of 714 that divides 714 without a remainder.
1,2,3,6,7,14,17,21,34,42,51,102,119,238,357,714
Greatest Common Factor
We found the factors 586,695,714 . The biggest common factor number is the GCF number.
So the greatest common factor 586,695,714 is 1.
Lets's calculate LCM of 929,446,176
2 | 929, 446, 176 |
929, 223, 88 |
∴ So the LCM of the given numbers is 2 x 929 x 223 x 88 = 36461392
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36461392
Therefore, the GCF of Fractions 586/929,695/446,714/176 is 1/36461392
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 929,446,176 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(929,446,176) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(929,446,176) x common factors =1 x 2 = 2
LCM(929,446,176) = ( 929 × 446 × 176 ) / 2
LCM(929,446,176) = 72922784 / 2
LCM(929,446,176) = 36461392
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 586/929, 695/446, 714/176?
Answer: GCF of Numerators as per given numbers 586/929, 695/446, 714/176 is
GCF of Numerators i.e. for 586,695,714 is 1
LCM of denominators i.e. for 929,446,176 is 36461392.
Thus, GCF of Fractions is 1/36461392.Finally, GCF of Fractions for 586/929, 695/446, 714/176 is 1/36461392.