Greatest Common Factor of 182/711, 4134/3627

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 182/711, 4134/3627

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 182/711,4134/3627

Given fractions are 182/711,4134/3627

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 182,4134

Greatest Common Factor of Numerators i.e. GCF of 182,4134 is 26 .

LCM of Denominators means LCM of 711,3627 as per the given fractions.

LCM of 711,3627 is 286533 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 182,4134

GCF of Fractions 182/711,4134/3627 is 26/286533

2 182, 4134
13 91, 2067
7, 159

∴ So the GCF of the given numbers is 2 x 13 = 26

Greatest Common Factor of 182,4134 By Matching Biggest Common Factor Method

Greatest Common Factor of 182,4134 By Matching Biggest Common Factor Method

Factors of 182

List of positive integer factors of 182 that divides 182 without a remainder.

1,2,7,13,14,26,91,182

Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134

Greatest Common Factor

We found the factors 182,4134 . The biggest common factor number is the GCF number.
So the greatest common factor 182,4134 is 26.

Lets's calculate LCM of 711,3627

3 711, 3627
3 237, 1209
79, 403

∴ So the LCM of the given numbers is 3 x 3 x 79 x 403 = 286533

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 26/286533

Therefore, the GCF of Fractions 182/711,4134/3627 is 26/286533

Least Common Multiple of 711,3627 with GCF Formula

Least Common Multiple of 711,3627 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 711,3627 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(711,3627) = 9

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

GCF(711,3627) x common factors =9 x 1 = 9

LCM(711,3627) = ( 711 × 3627 ) / 9

LCM(711,3627) = 2578797 / 9

LCM(711,3627) = 286533


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 182/711, 4134/3627

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 182/711, 4134/3627?

Answer: GCF of Numerators as per given numbers 182/711, 4134/3627 is

GCF of Numerators i.e. for 182,4134 is 26

LCM of denominators i.e. for 711,3627 is 286533.

Thus, GCF of Fractions is 26/286533.Finally, GCF of Fractions for 182/711, 4134/3627 is 26/286533.