Greatest Common Factor of 5263/42, 3737/632

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5263/42, 3737/632

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 5263/42,3737/632

Given fractions are 5263/42,3737/632

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 5263,3737

Greatest Common Factor of Numerators i.e. GCF of 5263,3737 is 1 .

LCM of Denominators means LCM of 42,632 as per the given fractions.

LCM of 42,632 is 13272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5263,3737

GCF of Fractions 5263/42,3737/632 is 1/13272

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

Greatest Common Factor of 5263,3737 By Matching Biggest Common Factor Method

Greatest Common Factor of 5263,3737 By Matching Biggest Common Factor Method

Factors of 5263

List of positive integer factors of 5263 that divides 5263 without a remainder.

1,19,277,5263

Factors of 3737

List of positive integer factors of 3737 that divides 3737 without a remainder.

1,37,101,3737

Greatest Common Factor

We found the factors 5263,3737 . The biggest common factor number is the GCF number.
So the greatest common factor 5263,3737 is 1.

Lets's calculate LCM of 42,632

2 42, 632
21, 316

∴ So the LCM of the given numbers is 2 x 21 x 316 = 13272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/13272

Therefore, the GCF of Fractions 5263/42,3737/632 is 1/13272

Least Common Multiple of 42,632 with GCF Formula

Least Common Multiple of 42,632 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 42,632 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,632) = 2

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

GCF(42,632) x common factors =2 x 1 = 2

LCM(42,632) = ( 42 × 632 ) / 2

LCM(42,632) = 26544 / 2

LCM(42,632) = 13272


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 5263/42, 3737/632

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 5263/42, 3737/632?

Answer: GCF of Numerators as per given numbers 5263/42, 3737/632 is

GCF of Numerators i.e. for 5263,3737 is 1

LCM of denominators i.e. for 42,632 is 13272.

Thus, GCF of Fractions is 1/13272.Finally, GCF of Fractions for 5263/42, 3737/632 is 1/13272.