Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 916/272,196/637,463/544
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 916,196,463
Greatest Common Factor of Numerators i.e. GCF of 916,196,463 is 1 .
LCM of Denominators means LCM of 272,637,544 as per the given fractions.
LCM of 272,637,544 is 346528 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 916,196,463
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 916
List of positive integer factors of 916 that divides 916 without a remainder.
1,2,4,229,458,916
Factors of 196
List of positive integer factors of 196 that divides 196 without a remainder.
1,2,4,7,14,28,49,98,196
Factors of 463
List of positive integer factors of 463 that divides 463 without a remainder.
1,463
Greatest Common Factor
We found the factors 916,196,463 . The biggest common factor number is the GCF number.
So the greatest common factor 916,196,463 is 1.
Lets's calculate LCM of 272,637,544
2 | 272, 637, 544 |
2 | 136, 637, 272 |
2 | 68, 637, 136 |
2 | 34, 637, 68 |
17 | 17, 637, 34 |
1, 637, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 17 x 1 x 637 x 2 = 346528
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/346528
Therefore, the GCF of Fractions 916/272,196/637,463/544 is 1/346528
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 272,637,544 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(272,637,544) = 1
common factors(in case of two or more numbers have common factors) = 272
GCF(272,637,544) x common factors =1 x 272 = 272
LCM(272,637,544) = ( 272 × 637 × 544 ) / 272
LCM(272,637,544) = 94255616 / 272
LCM(272,637,544) = 346528
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 916/272, 196/637, 463/544?
Answer: GCF of Numerators as per given numbers 916/272, 196/637, 463/544 is
GCF of Numerators i.e. for 916,196,463 is 1
LCM of denominators i.e. for 272,637,544 is 346528.
Thus, GCF of Fractions is 1/346528.Finally, GCF of Fractions for 916/272, 196/637, 463/544 is 1/346528.