How to Find GCF of 4557/540, 6739/2362?

GCF of 4557/540, 6739/2362

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 4557/540, 6739/2362 i.e 1/637740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4557/540, 6739/2362.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4557/540,6739/2362?

Given fractions are 4557/540,6739/2362

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 4557/540,6739/2362, numerators are 4557,6739

Denominators are 540,2362

The GCF of 4557,6739 is 1 .

LCM of 540,2362 is 637740.

The greatest common factor of 4557/540,6739/2362 = [GCF of 4557,6739]/[LCM of 540,2362]= 1/637740

Therefore, the GCF of 4557/540,6739/2362 is 1/637740.

Greatest Common Factor of 4557,6739

To find the highest common factor of 4557,6739, we have to find the factors of both numbers and list the highest common factor.

The factors of 4557 are 1, 3, 7, 21, 31, 49, 93, 147, 217, 651, 1519, 4557

The factors of 6739 are 1, 23, 293, 6739

The HCF of 4557,6739 is 1.

Lets's calculate GCF of 4557,6739

Greatest Common Factor (GCF) of 4557,6739 By Common Division

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

Greatest Common Factor of 4557,6739 By Matching Biggest Common Factor Method

Now, list down the factors of 4557

1,3,7,21,31,49,93,147,217,651,1519,4557

Now, list down the factors of 6739

1,23,293,6739

Greatest Common Factor

We found the factors 4557,6739 . The biggest common factor number is the GCF number.
So the greatest common factor 4557,6739 is 1.

Lets's calculate LCM of 540,2362

Lowest Common Multiple of 540,2362 using Common Division

2	540, 2362
	270, 1181

∴ So the LCM of the given numbers is 2 x 270 x 1181 = 637740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/637740

Therefore, the GCF of Fractions 4557/540,6739/2362 is 1/637740

Least Common Multiple of 540,2362 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 540,2362 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,2362) = 2

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

GCF(540,2362) x common factors =2 x 1 = 2

LCM(540,2362) = ( 540 × 2362 ) / 2

LCM(540,2362) = 1275480 / 2

LCM(540,2362) = 637740

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4557/540, 6739/2362

1. What is the HCF of 4557,6739?

The HCF of 4557,6739 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 4557/540, 6739/2362?

Answer: GCF of Numerators as per given numbers 4557/540, 6739/2362 is

GCF of Numerators i.e. for 4557,6739 is 1

LCM of denominators i.e. for 540,2362 is 637740.

Thus, GCF of Fractions is 1/637740.Finally, GCF of Fractions for 4557/540, 6739/2362 is 1/637740.