Greatest Common Factor of 4843/40, 2175/337

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4843/40, 2175/337

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 4843/40,2175/337

Given fractions are 4843/40,2175/337

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 4843,2175

Greatest Common Factor of Numerators i.e. GCF of 4843,2175 is 29 .

LCM of Denominators means LCM of 40,337 as per the given fractions.

LCM of 40,337 is 13480 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4843,2175

GCF of Fractions 4843/40,2175/337 is 29/13480

29 4843, 2175
167, 75

∴ So the GCF of the given numbers is 29 = 29

Greatest Common Factor of 4843,2175 By Matching Biggest Common Factor Method

Greatest Common Factor of 4843,2175 By Matching Biggest Common Factor Method

Factors of 4843

List of positive integer factors of 4843 that divides 4843 without a remainder.

1,29,167,4843

Factors of 2175

List of positive integer factors of 2175 that divides 2175 without a remainder.

1,3,5,15,25,29,75,87,145,435,725,2175

Greatest Common Factor

We found the factors 4843,2175 . The biggest common factor number is the GCF number.
So the greatest common factor 4843,2175 is 29.

Lets's calculate LCM of 40,337

Given numbers has no common factors except 1. So, there LCM is their product i.e 13480

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 29/13480

Therefore, the GCF of Fractions 4843/40,2175/337 is 29/13480

Least Common Multiple of 40,337 with GCF Formula

Least Common Multiple of 40,337 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 40,337 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,337) = 1

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

GCF(40,337) x common factors =1 x 1 = 1

LCM(40,337) = ( 40 × 337 ) / 1

LCM(40,337) = 13480 / 1

LCM(40,337) = 13480


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 4843/40, 2175/337

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 4843/40, 2175/337?

Answer: GCF of Numerators as per given numbers 4843/40, 2175/337 is

GCF of Numerators i.e. for 4843,2175 is 29

LCM of denominators i.e. for 40,337 is 13480.

Thus, GCF of Fractions is 29/13480.Finally, GCF of Fractions for 4843/40, 2175/337 is 29/13480.