Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 466/97,854/52,176/724
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 466,854,176
Greatest Common Factor of Numerators i.e. GCF of 466,854,176 is 2 .
LCM of Denominators means LCM of 97,52,724 as per the given fractions.
LCM of 97,52,724 is 912964 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 466,854,176
2 | 466, 854, 176 |
233, 427, 88 |
∴ So the GCF of the given numbers is 2 = 2
Factors of 466
List of positive integer factors of 466 that divides 466 without a remainder.
1,2,233,466
Factors of 854
List of positive integer factors of 854 that divides 854 without a remainder.
1,2,7,14,61,122,427,854
Factors of 176
List of positive integer factors of 176 that divides 176 without a remainder.
1,2,4,8,11,16,22,44,88,176
Greatest Common Factor
We found the factors 466,854,176 . The biggest common factor number is the GCF number.
So the greatest common factor 466,854,176 is 2.
Lets's calculate LCM of 97,52,724
2 | 97, 52, 724 |
2 | 97, 26, 362 |
97, 13, 181 |
∴ So the LCM of the given numbers is 2 x 2 x 97 x 13 x 181 = 912964
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/912964
Therefore, the GCF of Fractions 466/97,854/52,176/724 is 2/912964
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 97,52,724 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(97,52,724) = 1
common factors(in case of two or more numbers have common factors) = 4
GCF(97,52,724) x common factors =1 x 4 = 4
LCM(97,52,724) = ( 97 × 52 × 724 ) / 4
LCM(97,52,724) = 3651856 / 4
LCM(97,52,724) = 912964
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 466/97, 854/52, 176/724?
Answer: GCF of Numerators as per given numbers 466/97, 854/52, 176/724 is
GCF of Numerators i.e. for 466,854,176 is 2
LCM of denominators i.e. for 97,52,724 is 912964.
Thus, GCF of Fractions is 2/912964.Finally, GCF of Fractions for 466/97, 854/52, 176/724 is 2/912964.