Greatest Common Factor of 1474/634, 4537/1727

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1474/634, 4537/1727

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 1474/634,4537/1727

Given fractions are 1474/634,4537/1727

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 1474,4537

Greatest Common Factor of Numerators i.e. GCF of 1474,4537 is 1 .

LCM of Denominators means LCM of 634,1727 as per the given fractions.

LCM of 634,1727 is 1094918 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1474,4537

GCF of Fractions 1474/634,4537/1727 is 1/1094918

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

Greatest Common Factor of 1474,4537 By Matching Biggest Common Factor Method

Greatest Common Factor of 1474,4537 By Matching Biggest Common Factor Method

Factors of 1474

List of positive integer factors of 1474 that divides 1474 without a remainder.

1,2,11,22,67,134,737,1474

Factors of 4537

List of positive integer factors of 4537 that divides 4537 without a remainder.

1,13,349,4537

Greatest Common Factor

We found the factors 1474,4537 . The biggest common factor number is the GCF number.
So the greatest common factor 1474,4537 is 1.

Lets's calculate LCM of 634,1727

Given numbers has no common factors except 1. So, there LCM is their product i.e 1094918

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1094918

Therefore, the GCF of Fractions 1474/634,4537/1727 is 1/1094918

Least Common Multiple of 634,1727 with GCF Formula

Least Common Multiple of 634,1727 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 634,1727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(634,1727) = 1

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

GCF(634,1727) x common factors =1 x 1 = 1

LCM(634,1727) = ( 634 × 1727 ) / 1

LCM(634,1727) = 1094918 / 1

LCM(634,1727) = 1094918


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 1474/634, 4537/1727

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 1474/634, 4537/1727?

Answer: GCF of Numerators as per given numbers 1474/634, 4537/1727 is

GCF of Numerators i.e. for 1474,4537 is 1

LCM of denominators i.e. for 634,1727 is 1094918.

Thus, GCF of Fractions is 1/1094918.Finally, GCF of Fractions for 1474/634, 4537/1727 is 1/1094918.