Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 129/869,650/387,474/253
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 129,650,474
Greatest Common Factor of Numerators i.e. GCF of 129,650,474 is 1 .
LCM of Denominators means LCM of 869,387,253 as per the given fractions.
LCM of 869,387,253 is 7734969 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 129,650,474
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 129
List of positive integer factors of 129 that divides 129 without a remainder.
1,3,43,129
Factors of 650
List of positive integer factors of 650 that divides 650 without a remainder.
1,2,5,10,13,25,26,50,65,130,325,650
Factors of 474
List of positive integer factors of 474 that divides 474 without a remainder.
1,2,3,6,79,158,237,474
Greatest Common Factor
We found the factors 129,650,474 . The biggest common factor number is the GCF number.
So the greatest common factor 129,650,474 is 1.
Lets's calculate LCM of 869,387,253
11 | 869, 387, 253 |
79, 387, 23 |
∴ So the LCM of the given numbers is 11 x 79 x 387 x 23 = 7734969
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7734969
Therefore, the GCF of Fractions 129/869,650/387,474/253 is 1/7734969
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 869,387,253 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,387,253) = 1
common factors(in case of two or more numbers have common factors) = 11
GCF(869,387,253) x common factors =1 x 11 = 11
LCM(869,387,253) = ( 869 × 387 × 253 ) / 11
LCM(869,387,253) = 85084659 / 11
LCM(869,387,253) = 7734969
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 129/869, 650/387, 474/253?
Answer: GCF of Numerators as per given numbers 129/869, 650/387, 474/253 is
GCF of Numerators i.e. for 129,650,474 is 1
LCM of denominators i.e. for 869,387,253 is 7734969.
Thus, GCF of Fractions is 1/7734969.Finally, GCF of Fractions for 129/869, 650/387, 474/253 is 1/7734969.