Greatest Common Factor of 26/77, 76/75, 122/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 26/77, 76/75, 122/618

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 26/77,76/75,122/618

Given fractions are 26/77,76/75,122/618

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 26,76,122

Greatest Common Factor of Numerators i.e. GCF of 26,76,122 is 2 .

LCM of Denominators means LCM of 77,75,618 as per the given fractions.

LCM of 77,75,618 is 1189650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 26,76,122

GCF of Fractions 26/77,76/75,122/618 is 2/1189650

2 26, 76, 122
13, 38, 61

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

Greatest Common Factor of 26,76,122 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,76,122 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 122

List of positive integer factors of 122 that divides 122 without a remainder.

1,2,61,122

Greatest Common Factor

We found the factors 26,76,122 . The biggest common factor number is the GCF number.
So the greatest common factor 26,76,122 is 2.

Lets's calculate LCM of 77,75,618

3 77, 75, 618
77, 25, 206

∴ So the LCM of the given numbers is 3 x 77 x 25 x 206 = 1189650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1189650

Therefore, the GCF of Fractions 26/77,76/75,122/618 is 2/1189650

Least Common Multiple of 77,75,618 with GCF Formula

Least Common Multiple of 77,75,618 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 77,75,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,75,618) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(77,75,618) x common factors =1 x 3 = 3

LCM(77,75,618) = ( 77 × 75 × 618 ) / 3

LCM(77,75,618) = 3568950 / 3

LCM(77,75,618) = 1189650


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 26/77, 76/75, 122/618

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 26/77, 76/75, 122/618?

Answer: GCF of Numerators as per given numbers 26/77, 76/75, 122/618 is

GCF of Numerators i.e. for 26,76,122 is 2

LCM of denominators i.e. for 77,75,618 is 1189650.

Thus, GCF of Fractions is 2/1189650.Finally, GCF of Fractions for 26/77, 76/75, 122/618 is 2/1189650.