Greatest Common Factor of 4723/52, 3757/354

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4723/52, 3757/354

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 4723/52,3757/354

Given fractions are 4723/52,3757/354

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 4723,3757

Greatest Common Factor of Numerators i.e. GCF of 4723,3757 is 1 .

LCM of Denominators means LCM of 52,354 as per the given fractions.

LCM of 52,354 is 9204 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4723,3757

GCF of Fractions 4723/52,3757/354 is 1/9204

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

Greatest Common Factor of 4723,3757 By Matching Biggest Common Factor Method

Greatest Common Factor of 4723,3757 By Matching Biggest Common Factor Method

Factors of 4723

List of positive integer factors of 4723 that divides 4723 without a remainder.

1,4723

Factors of 3757

List of positive integer factors of 3757 that divides 3757 without a remainder.

1,13,17,221,289,3757

Greatest Common Factor

We found the factors 4723,3757 . The biggest common factor number is the GCF number.
So the greatest common factor 4723,3757 is 1.

Lets's calculate LCM of 52,354

2 52, 354
26, 177

∴ So the LCM of the given numbers is 2 x 26 x 177 = 9204

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9204

Therefore, the GCF of Fractions 4723/52,3757/354 is 1/9204

Least Common Multiple of 52,354 with GCF Formula

Least Common Multiple of 52,354 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 52,354 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,354) = 2

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

GCF(52,354) x common factors =2 x 1 = 2

LCM(52,354) = ( 52 × 354 ) / 2

LCM(52,354) = 18408 / 2

LCM(52,354) = 9204


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 4723/52, 3757/354

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 4723/52, 3757/354?

Answer: GCF of Numerators as per given numbers 4723/52, 3757/354 is

GCF of Numerators i.e. for 4723,3757 is 1

LCM of denominators i.e. for 52,354 is 9204.

Thus, GCF of Fractions is 1/9204.Finally, GCF of Fractions for 4723/52, 3757/354 is 1/9204.