Greatest Common Factor of 4028/54, 5765/874

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4028/54, 5765/874

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 4028/54,5765/874

Given fractions are 4028/54,5765/874

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 4028,5765

Greatest Common Factor of Numerators i.e. GCF of 4028,5765 is 1 .

LCM of Denominators means LCM of 54,874 as per the given fractions.

LCM of 54,874 is 23598 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4028,5765

GCF of Fractions 4028/54,5765/874 is 1/23598

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

Greatest Common Factor of 4028,5765 By Matching Biggest Common Factor Method

Greatest Common Factor of 4028,5765 By Matching Biggest Common Factor Method

Factors of 4028

List of positive integer factors of 4028 that divides 4028 without a remainder.

1,2,4,19,38,53,76,106,212,1007,2014,4028

Factors of 5765

List of positive integer factors of 5765 that divides 5765 without a remainder.

1,5,1153,5765

Greatest Common Factor

We found the factors 4028,5765 . The biggest common factor number is the GCF number.
So the greatest common factor 4028,5765 is 1.

Lets's calculate LCM of 54,874

2 54, 874
27, 437

∴ So the LCM of the given numbers is 2 x 27 x 437 = 23598

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23598

Therefore, the GCF of Fractions 4028/54,5765/874 is 1/23598

Least Common Multiple of 54,874 with GCF Formula

Least Common Multiple of 54,874 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 54,874 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(54,874) = 2

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

GCF(54,874) x common factors =2 x 1 = 2

LCM(54,874) = ( 54 × 874 ) / 2

LCM(54,874) = 47196 / 2

LCM(54,874) = 23598


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 4028/54, 5765/874

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 4028/54, 5765/874?

Answer: GCF of Numerators as per given numbers 4028/54, 5765/874 is

GCF of Numerators i.e. for 4028,5765 is 1

LCM of denominators i.e. for 54,874 is 23598.

Thus, GCF of Fractions is 1/23598.Finally, GCF of Fractions for 4028/54, 5765/874 is 1/23598.