Greatest Common Factor of 5724/667, 1108/322

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5724/667, 1108/322

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 5724/667,1108/322

Given fractions are 5724/667,1108/322

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 5724,1108

Greatest Common Factor of Numerators i.e. GCF of 5724,1108 is 4 .

LCM of Denominators means LCM of 667,322 as per the given fractions.

LCM of 667,322 is 9338 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5724,1108

GCF of Fractions 5724/667,1108/322 is 4/9338

2 5724, 1108
2 2862, 554
1431, 277

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 5724,1108 By Matching Biggest Common Factor Method

Greatest Common Factor of 5724,1108 By Matching Biggest Common Factor Method

Factors of 5724

List of positive integer factors of 5724 that divides 5724 without a remainder.

1,2,3,4,6,9,12,18,27,36,53,54,106,108,159,212,318,477,636,954,1431,1908,2862,5724

Factors of 1108

List of positive integer factors of 1108 that divides 1108 without a remainder.

1,2,4,277,554,1108

Greatest Common Factor

We found the factors 5724,1108 . The biggest common factor number is the GCF number.
So the greatest common factor 5724,1108 is 4.

Lets's calculate LCM of 667,322

23 667, 322
29, 14

∴ So the LCM of the given numbers is 23 x 29 x 14 = 9338

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/9338

Therefore, the GCF of Fractions 5724/667,1108/322 is 4/9338

Least Common Multiple of 667,322 with GCF Formula

Least Common Multiple of 667,322 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 667,322 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(667,322) = 23

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

GCF(667,322) x common factors =23 x 1 = 23

LCM(667,322) = ( 667 × 322 ) / 23

LCM(667,322) = 214774 / 23

LCM(667,322) = 9338


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 5724/667, 1108/322

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 5724/667, 1108/322?

Answer: GCF of Numerators as per given numbers 5724/667, 1108/322 is

GCF of Numerators i.e. for 5724,1108 is 4

LCM of denominators i.e. for 667,322 is 9338.

Thus, GCF of Fractions is 4/9338.Finally, GCF of Fractions for 5724/667, 1108/322 is 4/9338.