Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 911/76,721/94,876/64
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 911,721,876
Greatest Common Factor of Numerators i.e. GCF of 911,721,876 is 1 .
LCM of Denominators means LCM of 76,94,64 as per the given fractions.
LCM of 76,94,64 is 57152 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 911,721,876
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 911
List of positive integer factors of 911 that divides 911 without a remainder.
1,911
Factors of 721
List of positive integer factors of 721 that divides 721 without a remainder.
1,7,103,721
Factors of 876
List of positive integer factors of 876 that divides 876 without a remainder.
1,2,3,4,6,12,73,146,219,292,438,876
Greatest Common Factor
We found the factors 911,721,876 . The biggest common factor number is the GCF number.
So the greatest common factor 911,721,876 is 1.
Lets's calculate LCM of 76,94,64
2 | 76, 94, 64 |
2 | 38, 47, 32 |
19, 47, 16 |
∴ So the LCM of the given numbers is 2 x 2 x 19 x 47 x 16 = 57152
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/57152
Therefore, the GCF of Fractions 911/76,721/94,876/64 is 1/57152
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 76,94,64 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(76,94,64) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(76,94,64) x common factors =2 x 4 = 8
LCM(76,94,64) = ( 76 × 94 × 64 ) / 8
LCM(76,94,64) = 457216 / 8
LCM(76,94,64) = 57152
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 911/76, 721/94, 876/64?
Answer: GCF of Numerators as per given numbers 911/76, 721/94, 876/64 is
GCF of Numerators i.e. for 911,721,876 is 1
LCM of denominators i.e. for 76,94,64 is 57152.
Thus, GCF of Fractions is 1/57152.Finally, GCF of Fractions for 911/76, 721/94, 876/64 is 1/57152.