Greatest Common Factor of 177/632, 5165/4204

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 177/632, 5165/4204

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 177/632,5165/4204

Given fractions are 177/632,5165/4204

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 177,5165

Greatest Common Factor of Numerators i.e. GCF of 177,5165 is 1 .

LCM of Denominators means LCM of 632,4204 as per the given fractions.

LCM of 632,4204 is 664232 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 177,5165

GCF of Fractions 177/632,5165/4204 is 1/664232

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

Greatest Common Factor of 177,5165 By Matching Biggest Common Factor Method

Greatest Common Factor of 177,5165 By Matching Biggest Common Factor Method

Factors of 177

List of positive integer factors of 177 that divides 177 without a remainder.

1,3,59,177

Factors of 5165

List of positive integer factors of 5165 that divides 5165 without a remainder.

1,5,1033,5165

Greatest Common Factor

We found the factors 177,5165 . The biggest common factor number is the GCF number.
So the greatest common factor 177,5165 is 1.

Lets's calculate LCM of 632,4204

2 632, 4204
2 316, 2102
158, 1051

∴ So the LCM of the given numbers is 2 x 2 x 158 x 1051 = 664232

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/664232

Therefore, the GCF of Fractions 177/632,5165/4204 is 1/664232

Least Common Multiple of 632,4204 with GCF Formula

Least Common Multiple of 632,4204 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 632,4204 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,4204) = 4

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

GCF(632,4204) x common factors =4 x 1 = 4

LCM(632,4204) = ( 632 × 4204 ) / 4

LCM(632,4204) = 2656928 / 4

LCM(632,4204) = 664232


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 177/632, 5165/4204

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 177/632, 5165/4204?

Answer: GCF of Numerators as per given numbers 177/632, 5165/4204 is

GCF of Numerators i.e. for 177,5165 is 1

LCM of denominators i.e. for 632,4204 is 664232.

Thus, GCF of Fractions is 1/664232.Finally, GCF of Fractions for 177/632, 5165/4204 is 1/664232.