Greatest Common Factor of 2804/52, 2724/800

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2804/52, 2724/800

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 2804/52,2724/800

Given fractions are 2804/52,2724/800

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 2804,2724

Greatest Common Factor of Numerators i.e. GCF of 2804,2724 is 4 .

LCM of Denominators means LCM of 52,800 as per the given fractions.

LCM of 52,800 is 10400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2804,2724

GCF of Fractions 2804/52,2724/800 is 4/10400

2 2804, 2724
2 1402, 1362
701, 681

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

Greatest Common Factor of 2804,2724 By Matching Biggest Common Factor Method

Greatest Common Factor of 2804,2724 By Matching Biggest Common Factor Method

Factors of 2804

List of positive integer factors of 2804 that divides 2804 without a remainder.

1,2,4,701,1402,2804

Factors of 2724

List of positive integer factors of 2724 that divides 2724 without a remainder.

1,2,3,4,6,12,227,454,681,908,1362,2724

Greatest Common Factor

We found the factors 2804,2724 . The biggest common factor number is the GCF number.
So the greatest common factor 2804,2724 is 4.

Lets's calculate LCM of 52,800

2 52, 800
2 26, 400
13, 200

∴ So the LCM of the given numbers is 2 x 2 x 13 x 200 = 10400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/10400

Therefore, the GCF of Fractions 2804/52,2724/800 is 4/10400

Least Common Multiple of 52,800 with GCF Formula

Least Common Multiple of 52,800 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 52,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(52,800) = 4

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

GCF(52,800) x common factors =4 x 1 = 4

LCM(52,800) = ( 52 × 800 ) / 4

LCM(52,800) = 41600 / 4

LCM(52,800) = 10400


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 2804/52, 2724/800

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 2804/52, 2724/800?

Answer: GCF of Numerators as per given numbers 2804/52, 2724/800 is

GCF of Numerators i.e. for 2804,2724 is 4

LCM of denominators i.e. for 52,800 is 10400.

Thus, GCF of Fractions is 4/10400.Finally, GCF of Fractions for 2804/52, 2724/800 is 4/10400.