Greatest Common Factor of 632/574, 181/280

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 632/574, 181/280

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 632/574,181/280

Given fractions are 632/574,181/280

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 632,181

Greatest Common Factor of Numerators i.e. GCF of 632,181 is 1 .

LCM of Denominators means LCM of 574,280 as per the given fractions.

LCM of 574,280 is 11480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 632,181

GCF of Fractions 632/574,181/280 is 1/11480

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

Greatest Common Factor of 632,181 By Matching Biggest Common Factor Method

Greatest Common Factor of 632,181 By Matching Biggest Common Factor Method

Factors of 632

List of positive integer factors of 632 that divides 632 without a remainder.

1,2,4,8,79,158,316,632

Factors of 181

List of positive integer factors of 181 that divides 181 without a remainder.

1,181

Greatest Common Factor

We found the factors 632,181 . The biggest common factor number is the GCF number.
So the greatest common factor 632,181 is 1.

Lets's calculate LCM of 574,280

2 574, 280
7 287, 140
41, 20

∴ So the LCM of the given numbers is 2 x 7 x 41 x 20 = 11480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11480

Therefore, the GCF of Fractions 632/574,181/280 is 1/11480

Least Common Multiple of 574,280 with GCF Formula

Least Common Multiple of 574,280 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 574,280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(574,280) = 14

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

GCF(574,280) x common factors =14 x 1 = 14

LCM(574,280) = ( 574 × 280 ) / 14

LCM(574,280) = 160720 / 14

LCM(574,280) = 11480


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 632/574, 181/280

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 632/574, 181/280?

Answer: GCF of Numerators as per given numbers 632/574, 181/280 is

GCF of Numerators i.e. for 632,181 is 1

LCM of denominators i.e. for 574,280 is 11480.

Thus, GCF of Fractions is 1/11480.Finally, GCF of Fractions for 632/574, 181/280 is 1/11480.