Greatest Common Factor of 1054/34, 8723/468

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1054/34, 8723/468

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 1054/34,8723/468

Given fractions are 1054/34,8723/468

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 1054,8723

Greatest Common Factor of Numerators i.e. GCF of 1054,8723 is 1 .

LCM of Denominators means LCM of 34,468 as per the given fractions.

LCM of 34,468 is 7956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1054,8723

GCF of Fractions 1054/34,8723/468 is 1/7956

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

Greatest Common Factor of 1054,8723 By Matching Biggest Common Factor Method

Greatest Common Factor of 1054,8723 By Matching Biggest Common Factor Method

Factors of 1054

List of positive integer factors of 1054 that divides 1054 without a remainder.

1,2,17,31,34,62,527,1054

Factors of 8723

List of positive integer factors of 8723 that divides 8723 without a remainder.

1,11,13,61,143,671,793,8723

Greatest Common Factor

We found the factors 1054,8723 . The biggest common factor number is the GCF number.
So the greatest common factor 1054,8723 is 1.

Lets's calculate LCM of 34,468

2 34, 468
17, 234

∴ So the LCM of the given numbers is 2 x 17 x 234 = 7956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7956

Therefore, the GCF of Fractions 1054/34,8723/468 is 1/7956

Least Common Multiple of 34,468 with GCF Formula

Least Common Multiple of 34,468 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 34,468 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(34,468) = 2

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

GCF(34,468) x common factors =2 x 1 = 2

LCM(34,468) = ( 34 × 468 ) / 2

LCM(34,468) = 15912 / 2

LCM(34,468) = 7956


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 1054/34, 8723/468

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 1054/34, 8723/468?

Answer: GCF of Numerators as per given numbers 1054/34, 8723/468 is

GCF of Numerators i.e. for 1054,8723 is 1

LCM of denominators i.e. for 34,468 is 7956.

Thus, GCF of Fractions is 1/7956.Finally, GCF of Fractions for 1054/34, 8723/468 is 1/7956.