Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 119/266,156/258,684/113
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 119,156,684
Greatest Common Factor of Numerators i.e. GCF of 119,156,684 is 1 .
LCM of Denominators means LCM of 266,258,113 as per the given fractions.
LCM of 266,258,113 is 3877482 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 119,156,684
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 119
List of positive integer factors of 119 that divides 119 without a remainder.
1,7,17,119
Factors of 156
List of positive integer factors of 156 that divides 156 without a remainder.
1,2,3,4,6,12,13,26,39,52,78,156
Factors of 684
List of positive integer factors of 684 that divides 684 without a remainder.
1,2,3,4,6,9,12,18,19,36,38,57,76,114,171,228,342,684
Greatest Common Factor
We found the factors 119,156,684 . The biggest common factor number is the GCF number.
So the greatest common factor 119,156,684 is 1.
Lets's calculate LCM of 266,258,113
2 | 266, 258, 113 |
133, 129, 113 |
∴ So the LCM of the given numbers is 2 x 133 x 129 x 113 = 3877482
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3877482
Therefore, the GCF of Fractions 119/266,156/258,684/113 is 1/3877482
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 266,258,113 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(266,258,113) = 1
common factors(in case of two or more numbers have common factors) = 2
GCF(266,258,113) x common factors =1 x 2 = 2
LCM(266,258,113) = ( 266 × 258 × 113 ) / 2
LCM(266,258,113) = 7754964 / 2
LCM(266,258,113) = 3877482
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 119/266, 156/258, 684/113?
Answer: GCF of Numerators as per given numbers 119/266, 156/258, 684/113 is
GCF of Numerators i.e. for 119,156,684 is 1
LCM of denominators i.e. for 266,258,113 is 3877482.
Thus, GCF of Fractions is 1/3877482.Finally, GCF of Fractions for 119/266, 156/258, 684/113 is 1/3877482.