Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 40/117,84/654,101/538
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 40,84,101
Greatest Common Factor of Numerators i.e. GCF of 40,84,101 is 1 .
LCM of Denominators means LCM of 117,654,538 as per the given fractions.
LCM of 117,654,538 is 6861114 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 40,84,101
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 40
List of positive integer factors of 40 that divides 40 without a remainder.
1,2,4,5,8,10,20,40
Factors of 84
List of positive integer factors of 84 that divides 84 without a remainder.
1,2,3,4,6,7,12,14,21,28,42,84
Factors of 101
List of positive integer factors of 101 that divides 101 without a remainder.
1,101
Greatest Common Factor
We found the factors 40,84,101 . The biggest common factor number is the GCF number.
So the greatest common factor 40,84,101 is 1.
Lets's calculate LCM of 117,654,538
2 | 117, 654, 538 |
3 | 117, 327, 269 |
39, 109, 269 |
∴ So the LCM of the given numbers is 2 x 3 x 39 x 109 x 269 = 6861114
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6861114
Therefore, the GCF of Fractions 40/117,84/654,101/538 is 1/6861114
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 117,654,538 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(117,654,538) = 1
common factors(in case of two or more numbers have common factors) = 6
GCF(117,654,538) x common factors =1 x 6 = 6
LCM(117,654,538) = ( 117 × 654 × 538 ) / 6
LCM(117,654,538) = 41166684 / 6
LCM(117,654,538) = 6861114
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 40/117, 84/654, 101/538?
Answer: GCF of Numerators as per given numbers 40/117, 84/654, 101/538 is
GCF of Numerators i.e. for 40,84,101 is 1
LCM of denominators i.e. for 117,654,538 is 6861114.
Thus, GCF of Fractions is 1/6861114.Finally, GCF of Fractions for 40/117, 84/654, 101/538 is 1/6861114.