Greatest Common Factor of 8254/141, 4034/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8254/141, 4034/823

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 8254/141,4034/823

Given fractions are 8254/141,4034/823

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 8254,4034

Greatest Common Factor of Numerators i.e. GCF of 8254,4034 is 2 .

LCM of Denominators means LCM of 141,823 as per the given fractions.

LCM of 141,823 is 116043 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8254,4034

GCF of Fractions 8254/141,4034/823 is 2/116043

2 8254, 4034
4127, 2017

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 8254,4034 By Matching Biggest Common Factor Method

Greatest Common Factor of 8254,4034 By Matching Biggest Common Factor Method

Factors of 8254

List of positive integer factors of 8254 that divides 8254 without a remainder.

1,2,4127,8254

Factors of 4034

List of positive integer factors of 4034 that divides 4034 without a remainder.

1,2,2017,4034

Greatest Common Factor

We found the factors 8254,4034 . The biggest common factor number is the GCF number.
So the greatest common factor 8254,4034 is 2.

Lets's calculate LCM of 141,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 116043

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/116043

Therefore, the GCF of Fractions 8254/141,4034/823 is 2/116043

Least Common Multiple of 141,823 with GCF Formula

Least Common Multiple of 141,823 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 141,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(141,823) = 1

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

GCF(141,823) x common factors =1 x 1 = 1

LCM(141,823) = ( 141 × 823 ) / 1

LCM(141,823) = 116043 / 1

LCM(141,823) = 116043


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 8254/141, 4034/823

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 8254/141, 4034/823?

Answer: GCF of Numerators as per given numbers 8254/141, 4034/823 is

GCF of Numerators i.e. for 8254,4034 is 2

LCM of denominators i.e. for 141,823 is 116043.

Thus, GCF of Fractions is 2/116043.Finally, GCF of Fractions for 8254/141, 4034/823 is 2/116043.