Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 635/78,114/92,657/268
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 635,114,657
Greatest Common Factor of Numerators i.e. GCF of 635,114,657 is 1 .
LCM of Denominators means LCM of 78,92,268 as per the given fractions.
LCM of 78,92,268 is 240396 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 635,114,657
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 635
List of positive integer factors of 635 that divides 635 without a remainder.
1,5,127,635
Factors of 114
List of positive integer factors of 114 that divides 114 without a remainder.
1,2,3,6,19,38,57,114
Factors of 657
List of positive integer factors of 657 that divides 657 without a remainder.
1,3,9,73,219,657
Greatest Common Factor
We found the factors 635,114,657 . The biggest common factor number is the GCF number.
So the greatest common factor 635,114,657 is 1.
Lets's calculate LCM of 78,92,268
2 | 78, 92, 268 |
2 | 39, 46, 134 |
39, 23, 67 |
∴ So the LCM of the given numbers is 2 x 2 x 39 x 23 x 67 = 240396
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/240396
Therefore, the GCF of Fractions 635/78,114/92,657/268 is 1/240396
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 78,92,268 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(78,92,268) = 2
common factors(in case of two or more numbers have common factors) = 4
GCF(78,92,268) x common factors =2 x 4 = 8
LCM(78,92,268) = ( 78 × 92 × 268 ) / 8
LCM(78,92,268) = 1923168 / 8
LCM(78,92,268) = 240396
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 635/78, 114/92, 657/268?
Answer: GCF of Numerators as per given numbers 635/78, 114/92, 657/268 is
GCF of Numerators i.e. for 635,114,657 is 1
LCM of denominators i.e. for 78,92,268 is 240396.
Thus, GCF of Fractions is 1/240396.Finally, GCF of Fractions for 635/78, 114/92, 657/268 is 1/240396.