Greatest Common Factor of 4493/874, 4637/3680

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4493/874, 4637/3680

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 4493/874,4637/3680

Given fractions are 4493/874,4637/3680

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 4493,4637

Greatest Common Factor of Numerators i.e. GCF of 4493,4637 is 1 .

LCM of Denominators means LCM of 874,3680 as per the given fractions.

LCM of 874,3680 is 69920 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4493,4637

GCF of Fractions 4493/874,4637/3680 is 1/69920

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

Greatest Common Factor of 4493,4637 By Matching Biggest Common Factor Method

Greatest Common Factor of 4493,4637 By Matching Biggest Common Factor Method

Factors of 4493

List of positive integer factors of 4493 that divides 4493 without a remainder.

1,4493

Factors of 4637

List of positive integer factors of 4637 that divides 4637 without a remainder.

1,4637

Greatest Common Factor

We found the factors 4493,4637 . The biggest common factor number is the GCF number.
So the greatest common factor 4493,4637 is 1.

Lets's calculate LCM of 874,3680

2 874, 3680
23 437, 1840
19, 80

∴ So the LCM of the given numbers is 2 x 23 x 19 x 80 = 69920

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/69920

Therefore, the GCF of Fractions 4493/874,4637/3680 is 1/69920

Least Common Multiple of 874,3680 with GCF Formula

Least Common Multiple of 874,3680 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 874,3680 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(874,3680) = 46

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

GCF(874,3680) x common factors =46 x 1 = 46

LCM(874,3680) = ( 874 × 3680 ) / 46

LCM(874,3680) = 3216320 / 46

LCM(874,3680) = 69920


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 4493/874, 4637/3680

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 4493/874, 4637/3680?

Answer: GCF of Numerators as per given numbers 4493/874, 4637/3680 is

GCF of Numerators i.e. for 4493,4637 is 1

LCM of denominators i.e. for 874,3680 is 69920.

Thus, GCF of Fractions is 1/69920.Finally, GCF of Fractions for 4493/874, 4637/3680 is 1/69920.