Greatest Common Factor of 7441/473, 8141/618

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7441/473, 8141/618

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 7441/473,8141/618

Given fractions are 7441/473,8141/618

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 7441,8141

Greatest Common Factor of Numerators i.e. GCF of 7441,8141 is 7 .

LCM of Denominators means LCM of 473,618 as per the given fractions.

LCM of 473,618 is 292314 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7441,8141

GCF of Fractions 7441/473,8141/618 is 7/292314

7 7441, 8141
1063, 1163

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7441,8141 By Matching Biggest Common Factor Method

Greatest Common Factor of 7441,8141 By Matching Biggest Common Factor Method

Factors of 7441

List of positive integer factors of 7441 that divides 7441 without a remainder.

1,7,1063,7441

Factors of 8141

List of positive integer factors of 8141 that divides 8141 without a remainder.

1,7,1163,8141

Greatest Common Factor

We found the factors 7441,8141 . The biggest common factor number is the GCF number.
So the greatest common factor 7441,8141 is 7.

Lets's calculate LCM of 473,618

Given numbers has no common factors except 1. So, there LCM is their product i.e 292314

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/292314

Therefore, the GCF of Fractions 7441/473,8141/618 is 7/292314

Least Common Multiple of 473,618 with GCF Formula

Least Common Multiple of 473,618 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 473,618 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,618) = 1

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

GCF(473,618) x common factors =1 x 1 = 1

LCM(473,618) = ( 473 × 618 ) / 1

LCM(473,618) = 292314 / 1

LCM(473,618) = 292314


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 7441/473, 8141/618

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 7441/473, 8141/618?

Answer: GCF of Numerators as per given numbers 7441/473, 8141/618 is

GCF of Numerators i.e. for 7441,8141 is 7

LCM of denominators i.e. for 473,618 is 292314.

Thus, GCF of Fractions is 7/292314.Finally, GCF of Fractions for 7441/473, 8141/618 is 7/292314.