Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 29/35,85/68,157/56
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 29,85,157
Greatest Common Factor of Numerators i.e. GCF of 29,85,157 is 1 .
LCM of Denominators means LCM of 35,68,56 as per the given fractions.
LCM of 35,68,56 is 4760 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 29,85,157
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 29
List of positive integer factors of 29 that divides 29 without a remainder.
1,29
Factors of 85
List of positive integer factors of 85 that divides 85 without a remainder.
1,5,17,85
Factors of 157
List of positive integer factors of 157 that divides 157 without a remainder.
1,157
Greatest Common Factor
We found the factors 29,85,157 . The biggest common factor number is the GCF number.
So the greatest common factor 29,85,157 is 1.
Lets's calculate LCM of 35,68,56
2 | 35, 68, 56 |
2 | 35, 34, 28 |
7 | 35, 17, 14 |
5, 17, 2 |
∴ So the LCM of the given numbers is 2 x 2 x 7 x 5 x 17 x 2 = 4760
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4760
Therefore, the GCF of Fractions 29/35,85/68,157/56 is 1/4760
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 35,68,56 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(35,68,56) = 1
common factors(in case of two or more numbers have common factors) = 28
GCF(35,68,56) x common factors =1 x 28 = 28
LCM(35,68,56) = ( 35 × 68 × 56 ) / 28
LCM(35,68,56) = 133280 / 28
LCM(35,68,56) = 4760
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 29/35, 85/68, 157/56?
Answer: GCF of Numerators as per given numbers 29/35, 85/68, 157/56 is
GCF of Numerators i.e. for 29,85,157 is 1
LCM of denominators i.e. for 35,68,56 is 4760.
Thus, GCF of Fractions is 1/4760.Finally, GCF of Fractions for 29/35, 85/68, 157/56 is 1/4760.