Greatest Common Factor of 88/31, 58/38, 610/501

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 88/31, 58/38, 610/501

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 88/31,58/38,610/501

Given fractions are 88/31,58/38,610/501

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 88,58,610

Greatest Common Factor of Numerators i.e. GCF of 88,58,610 is 2 .

LCM of Denominators means LCM of 31,38,501 as per the given fractions.

LCM of 31,38,501 is 590178 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 88,58,610

GCF of Fractions 88/31,58/38,610/501 is 2/590178

2 88, 58, 610
44, 29, 305

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 88,58,610 By Matching Biggest Common Factor Method

Greatest Common Factor of 88,58,610 By Matching Biggest Common Factor Method

Factors of 88

List of positive integer factors of 88 that divides 88 without a remainder.

1,2,4,8,11,22,44,88

Factors of 58

List of positive integer factors of 58 that divides 58 without a remainder.

1,2,29,58

Factors of 610

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

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

Greatest Common Factor

We found the factors 88,58,610 . The biggest common factor number is the GCF number.
So the greatest common factor 88,58,610 is 2.

Lets's calculate LCM of 31,38,501

Given numbers has no common factors except 1. So, there LCM is their product i.e 590178

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/590178

Therefore, the GCF of Fractions 88/31,58/38,610/501 is 2/590178

Least Common Multiple of 31,38,501 with GCF Formula

Least Common Multiple of 31,38,501 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 31,38,501 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,38,501) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(31,38,501) x common factors =1 x 1 = 1

LCM(31,38,501) = ( 31 × 38 × 501 ) / 1

LCM(31,38,501) = 590178 / 1

LCM(31,38,501) = 590178


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 88/31, 58/38, 610/501

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 88/31, 58/38, 610/501?

Answer: GCF of Numerators as per given numbers 88/31, 58/38, 610/501 is

GCF of Numerators i.e. for 88,58,610 is 2

LCM of denominators i.e. for 31,38,501 is 590178.

Thus, GCF of Fractions is 2/590178.Finally, GCF of Fractions for 88/31, 58/38, 610/501 is 2/590178.