Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 265/686,138/556,496/956
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 265,138,496
Greatest Common Factor of Numerators i.e. GCF of 265,138,496 is 1 .
LCM of Denominators means LCM of 686,556,956 as per the given fractions.
LCM of 686,556,956 is 45579212 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 265,138,496
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 265
List of positive integer factors of 265 that divides 265 without a remainder.
1,5,53,265
Factors of 138
List of positive integer factors of 138 that divides 138 without a remainder.
1,2,3,6,23,46,69,138
Factors of 496
List of positive integer factors of 496 that divides 496 without a remainder.
1,2,4,8,16,31,62,124,248,496
Greatest Common Factor
We found the factors 265,138,496 . The biggest common factor number is the GCF number.
So the greatest common factor 265,138,496 is 1.
Lets's calculate LCM of 686,556,956
2 | 686, 556, 956 |
2 | 343, 278, 478 |
343, 139, 239 |
∴ So the LCM of the given numbers is 2 x 2 x 343 x 139 x 239 = 45579212
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/45579212
Therefore, the GCF of Fractions 265/686,138/556,496/956 is 1/45579212
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 686,556,956 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,556,956) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(686,556,956) x common factors =2 x 4 = 8
LCM(686,556,956) = ( 686 × 556 × 956 ) / 8
LCM(686,556,956) = 364633696 / 8
LCM(686,556,956) = 45579212
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 265/686, 138/556, 496/956?
Answer: GCF of Numerators as per given numbers 265/686, 138/556, 496/956 is
GCF of Numerators i.e. for 265,138,496 is 1
LCM of denominators i.e. for 686,556,956 is 45579212.
Thus, GCF of Fractions is 1/45579212.Finally, GCF of Fractions for 265/686, 138/556, 496/956 is 1/45579212.