Greatest Common Factor of 5373/800, 4154/7172

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5373/800, 4154/7172

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 5373/800,4154/7172

Given fractions are 5373/800,4154/7172

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 5373,4154

Greatest Common Factor of Numerators i.e. GCF of 5373,4154 is 1 .

LCM of Denominators means LCM of 800,7172 as per the given fractions.

LCM of 800,7172 is 1434400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5373,4154

GCF of Fractions 5373/800,4154/7172 is 1/1434400

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

Greatest Common Factor of 5373,4154 By Matching Biggest Common Factor Method

Greatest Common Factor of 5373,4154 By Matching Biggest Common Factor Method

Factors of 5373

List of positive integer factors of 5373 that divides 5373 without a remainder.

1,3,9,27,199,597,1791,5373

Factors of 4154

List of positive integer factors of 4154 that divides 4154 without a remainder.

1,2,31,62,67,134,2077,4154

Greatest Common Factor

We found the factors 5373,4154 . The biggest common factor number is the GCF number.
So the greatest common factor 5373,4154 is 1.

Lets's calculate LCM of 800,7172

2 800, 7172
2 400, 3586
200, 1793

∴ So the LCM of the given numbers is 2 x 2 x 200 x 1793 = 1434400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1434400

Therefore, the GCF of Fractions 5373/800,4154/7172 is 1/1434400

Least Common Multiple of 800,7172 with GCF Formula

Least Common Multiple of 800,7172 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 800,7172 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(800,7172) = 4

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

GCF(800,7172) x common factors =4 x 1 = 4

LCM(800,7172) = ( 800 × 7172 ) / 4

LCM(800,7172) = 5737600 / 4

LCM(800,7172) = 1434400


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 5373/800, 4154/7172

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 5373/800, 4154/7172?

Answer: GCF of Numerators as per given numbers 5373/800, 4154/7172 is

GCF of Numerators i.e. for 5373,4154 is 1

LCM of denominators i.e. for 800,7172 is 1434400.

Thus, GCF of Fractions is 1/1434400.Finally, GCF of Fractions for 5373/800, 4154/7172 is 1/1434400.