Greatest Common Factor of 7123/994, 8743/1072

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7123/994, 8743/1072

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 7123/994,8743/1072

Given fractions are 7123/994,8743/1072

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 7123,8743

Greatest Common Factor of Numerators i.e. GCF of 7123,8743 is 1 .

LCM of Denominators means LCM of 994,1072 as per the given fractions.

LCM of 994,1072 is 532784 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7123,8743

GCF of Fractions 7123/994,8743/1072 is 1/532784

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

Greatest Common Factor of 7123,8743 By Matching Biggest Common Factor Method

Greatest Common Factor of 7123,8743 By Matching Biggest Common Factor Method

Factors of 7123

List of positive integer factors of 7123 that divides 7123 without a remainder.

1,17,419,7123

Factors of 8743

List of positive integer factors of 8743 that divides 8743 without a remainder.

1,7,1249,8743

Greatest Common Factor

We found the factors 7123,8743 . The biggest common factor number is the GCF number.
So the greatest common factor 7123,8743 is 1.

Lets's calculate LCM of 994,1072

2 994, 1072
497, 536

∴ So the LCM of the given numbers is 2 x 497 x 536 = 532784

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/532784

Therefore, the GCF of Fractions 7123/994,8743/1072 is 1/532784

Least Common Multiple of 994,1072 with GCF Formula

Least Common Multiple of 994,1072 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 994,1072 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(994,1072) = 2

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

GCF(994,1072) x common factors =2 x 1 = 2

LCM(994,1072) = ( 994 × 1072 ) / 2

LCM(994,1072) = 1065568 / 2

LCM(994,1072) = 532784


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 7123/994, 8743/1072

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 7123/994, 8743/1072?

Answer: GCF of Numerators as per given numbers 7123/994, 8743/1072 is

GCF of Numerators i.e. for 7123,8743 is 1

LCM of denominators i.e. for 994,1072 is 532784.

Thus, GCF of Fractions is 1/532784.Finally, GCF of Fractions for 7123/994, 8743/1072 is 1/532784.