Greatest Common Factor of 610/58, 701/63, 130/76

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 610/58, 701/63, 130/76

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 610/58,701/63,130/76

Given fractions are 610/58,701/63,130/76

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 610,701,130

Greatest Common Factor of Numerators i.e. GCF of 610,701,130 is 1 .

LCM of Denominators means LCM of 58,63,76 as per the given fractions.

LCM of 58,63,76 is 138852 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 610,701,130

GCF of Fractions 610/58,701/63,130/76 is 1/138852

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 610,701,130 By Matching Biggest Common Factor Method

Greatest Common Factor of 610,701,130 By Matching Biggest Common Factor Method

Factors of 610

List of positive integer factors of 610 that divides 610 without a remainder.

1,2,5,10,61,122,305,610

Factors of 701

List of positive integer factors of 701 that divides 701 without a remainder.

1,701

Factors of 130

List of positive integer factors of 130 that divides 130 without a remainder.

1,2,5,10,13,26,65,130

Greatest Common Factor

We found the factors 610,701,130 . The biggest common factor number is the GCF number.
So the greatest common factor 610,701,130 is 1.

Lets's calculate LCM of 58,63,76

2 58, 63, 76
29, 63, 38

∴ So the LCM of the given numbers is 2 x 29 x 63 x 38 = 138852

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138852

Therefore, the GCF of Fractions 610/58,701/63,130/76 is 1/138852

Least Common Multiple of 58,63,76 with GCF Formula

Least Common Multiple of 58,63,76 with GCF Formula

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 58,63,76 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,63,76) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(58,63,76) x common factors =1 x 2 = 2

LCM(58,63,76) = ( 58 × 63 × 76 ) / 2

LCM(58,63,76) = 277704 / 2

LCM(58,63,76) = 138852


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

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Frequently Asked Questions on Fractional GCF of 610/58, 701/63, 130/76

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 610/58, 701/63, 130/76?

Answer: GCF of Numerators as per given numbers 610/58, 701/63, 130/76 is

GCF of Numerators i.e. for 610,701,130 is 1

LCM of denominators i.e. for 58,63,76 is 138852.

Thus, GCF of Fractions is 1/138852.Finally, GCF of Fractions for 610/58, 701/63, 130/76 is 1/138852.