Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 13/82,20/156,504/921
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 13,20,504
Greatest Common Factor of Numerators i.e. GCF of 13,20,504 is 1 .
LCM of Denominators means LCM of 82,156,921 as per the given fractions.
LCM of 82,156,921 is 1963572 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 13,20,504
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 13
List of positive integer factors of 13 that divides 13 without a remainder.
1,13
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 504
List of positive integer factors of 504 that divides 504 without a remainder.
1,2,3,4,6,7,8,9,12,14,18,21,24,28,36,42,56,63,72,84,126,168,252,504
Greatest Common Factor
We found the factors 13,20,504 . The biggest common factor number is the GCF number.
So the greatest common factor 13,20,504 is 1.
Lets's calculate LCM of 82,156,921
2 | 82, 156, 921 |
3 | 41, 78, 921 |
41, 26, 307 |
∴ So the LCM of the given numbers is 2 x 3 x 41 x 26 x 307 = 1963572
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1963572
Therefore, the GCF of Fractions 13/82,20/156,504/921 is 1/1963572
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 82,156,921 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(82,156,921) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(82,156,921) x common factors =1 x 6 = 6
LCM(82,156,921) = ( 82 × 156 × 921 ) / 6
LCM(82,156,921) = 11781432 / 6
LCM(82,156,921) = 1963572
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 13/82, 20/156, 504/921?
Answer: GCF of Numerators as per given numbers 13/82, 20/156, 504/921 is
GCF of Numerators i.e. for 13,20,504 is 1
LCM of denominators i.e. for 82,156,921 is 1963572.
Thus, GCF of Fractions is 1/1963572.Finally, GCF of Fractions for 13/82, 20/156, 504/921 is 1/1963572.