Greatest Common Factor of 3665/78, 8632/182

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3665/78, 8632/182

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 3665/78,8632/182

Given fractions are 3665/78,8632/182

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 3665,8632

Greatest Common Factor of Numerators i.e. GCF of 3665,8632 is 1 .

LCM of Denominators means LCM of 78,182 as per the given fractions.

LCM of 78,182 is 546 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3665,8632

GCF of Fractions 3665/78,8632/182 is 1/546

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

Greatest Common Factor of 3665,8632 By Matching Biggest Common Factor Method

Greatest Common Factor of 3665,8632 By Matching Biggest Common Factor Method

Factors of 3665

List of positive integer factors of 3665 that divides 3665 without a remainder.

1,5,733,3665

Factors of 8632

List of positive integer factors of 8632 that divides 8632 without a remainder.

1,2,4,8,13,26,52,83,104,166,332,664,1079,2158,4316,8632

Greatest Common Factor

We found the factors 3665,8632 . The biggest common factor number is the GCF number.
So the greatest common factor 3665,8632 is 1.

Lets's calculate LCM of 78,182

2 78, 182
13 39, 91
3, 7

∴ So the LCM of the given numbers is 2 x 13 x 3 x 7 = 546

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/546

Therefore, the GCF of Fractions 3665/78,8632/182 is 1/546

Least Common Multiple of 78,182 with GCF Formula

Least Common Multiple of 78,182 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 78,182 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(78,182) = 26

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

GCF(78,182) x common factors =26 x 1 = 26

LCM(78,182) = ( 78 × 182 ) / 26

LCM(78,182) = 14196 / 26

LCM(78,182) = 546


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 3665/78, 8632/182

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 3665/78, 8632/182?

Answer: GCF of Numerators as per given numbers 3665/78, 8632/182 is

GCF of Numerators i.e. for 3665,8632 is 1

LCM of denominators i.e. for 78,182 is 546.

Thus, GCF of Fractions is 1/546.Finally, GCF of Fractions for 3665/78, 8632/182 is 1/546.