Greatest Common Factor of 42/82, 134/26, 114/536

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 42/82, 134/26, 114/536

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 42/82,134/26,114/536

Given fractions are 42/82,134/26,114/536

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 42,134,114

Greatest Common Factor of Numerators i.e. GCF of 42,134,114 is 2 .

LCM of Denominators means LCM of 82,26,536 as per the given fractions.

LCM of 82,26,536 is 285688 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 42,134,114

GCF of Fractions 42/82,134/26,114/536 is 2/285688

2 42, 134, 114
21, 67, 57

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

Greatest Common Factor of 42,134,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,134,114 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 42,134,114 . The biggest common factor number is the GCF number.
So the greatest common factor 42,134,114 is 2.

Lets's calculate LCM of 82,26,536

2 82, 26, 536
41, 13, 268

∴ So the LCM of the given numbers is 2 x 41 x 13 x 268 = 285688

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/285688

Therefore, the GCF of Fractions 42/82,134/26,114/536 is 2/285688

Least Common Multiple of 82,26,536 with GCF Formula

Least Common Multiple of 82,26,536 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 82,26,536 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(82,26,536) = 2

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

GCF(82,26,536) x common factors =2 x 2 = 4

LCM(82,26,536) = ( 82 × 26 × 536 ) / 4

LCM(82,26,536) = 1142752 / 4

LCM(82,26,536) = 285688


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 42/82, 134/26, 114/536

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 42/82, 134/26, 114/536?

Answer: GCF of Numerators as per given numbers 42/82, 134/26, 114/536 is

GCF of Numerators i.e. for 42,134,114 is 2

LCM of denominators i.e. for 82,26,536 is 285688.

Thus, GCF of Fractions is 2/285688.Finally, GCF of Fractions for 42/82, 134/26, 114/536 is 2/285688.