Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
Given fractions are 6/57,46/61,20/659,151/610
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 6,46,20,151
Greatest Common Factor of Numerators i.e. GCF of 6,46,20,151 is 1 .
LCM of Denominators means LCM of 57,61,659,610 as per the given fractions.
LCM of 57,61,659,610 is 22913430 as it is the smallest common factor for both these numbers.
Lets's calculate GCF of 6,46,20,151
∴ So GCF of numbers is 1 because of no common factors present between them.
Factors of 6
List of positive integer factors of 6 that divides 6 without a remainder.
1,2,3,6
Factors of 46
List of positive integer factors of 46 that divides 46 without a remainder.
1,2,23,46
Factors of 20
List of positive integer factors of 20 that divides 20 without a remainder.
1,2,4,5,10,20
Factors of 151
List of positive integer factors of 151 that divides 151 without a remainder.
1,151
Greatest Common Factor
We found the factors 6,46,20,151 . The biggest common factor number is the GCF number.
So the greatest common factor 6,46,20,151 is 1.
Lets's calculate LCM of 57,61,659,610
61 | 57, 61, 659, 610 |
57, 1, 659, 10 |
∴ So the LCM of the given numbers is 61 x 57 x 1 x 659 x 10 = 22913430
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/22913430
Therefore, the GCF of Fractions 6/57,46/61,20/659,151/610 is 1/22913430
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 57,61,659,610 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(57,61,659,610) = 1
common factors(in case of two or more numbers have common factors) = 61
GCF(57,61,659,610) x common factors =1 x 61 = 61
LCM(57,61,659,610) = ( 57 × 61 × 659 × 610 ) / 61
LCM(57,61,659,610) = 1397719230 / 61
LCM(57,61,659,610) = 22913430
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 6/57, 46/61, 20/659, 151/610?
Answer: GCF of Numerators as per given numbers 6/57, 46/61, 20/659, 151/610 is
GCF of Numerators i.e. for 6,46,20,151 is 1
LCM of denominators i.e. for 57,61,659,610 is 22913430.
Thus, GCF of Fractions is 1/22913430.Finally, GCF of Fractions for 6/57, 46/61, 20/659, 151/610 is 1/22913430.