How to Find GCF of 5127/540, 3610/6528?

GCF of 5127/540, 3610/6528

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 5127/540, 3610/6528 i.e 1/293760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5127/540, 3610/6528.

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 5127/540,3610/6528?

Given fractions are 5127/540,3610/6528

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 5127/540,3610/6528, numerators are 5127,3610

Denominators are 540,6528

The GCF of 5127,3610 is 1 .

LCM of 540,6528 is 293760.

The greatest common factor of 5127/540,3610/6528 = [GCF of 5127,3610]/[LCM of 540,6528]= 1/293760

Therefore, the GCF of 5127/540,3610/6528 is 1/293760.

Greatest Common Factor of 5127,3610

To find the highest common factor of 5127,3610, we have to find the factors of both numbers and list the highest common factor.

The factors of 5127 are 1, 3, 1709, 5127

The factors of 3610 are 1, 2, 5, 10, 19, 38, 95, 190, 361, 722, 1805, 3610

The HCF of 5127,3610 is 1.

Lets's calculate GCF of 5127,3610

Greatest Common Factor (GCF) of 5127,3610 By Common Division

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

Greatest Common Factor of 5127,3610 By Matching Biggest Common Factor Method

Now, list down the factors of 5127

1,3,1709,5127

Now, list down the factors of 3610

1,2,5,10,19,38,95,190,361,722,1805,3610

Greatest Common Factor

We found the factors 5127,3610 . The biggest common factor number is the GCF number.
So the greatest common factor 5127,3610 is 1.

Lets's calculate LCM of 540,6528

Lowest Common Multiple of 540,6528 using Common Division

2	540, 6528
2	270, 3264
3	135, 1632
	45, 544

∴ So the LCM of the given numbers is 2 x 2 x 3 x 45 x 544 = 293760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/293760

Therefore, the GCF of Fractions 5127/540,3610/6528 is 1/293760

Least Common Multiple of 540,6528 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 540,6528 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(540,6528) = 12

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

GCF(540,6528) x common factors =12 x 1 = 12

LCM(540,6528) = ( 540 × 6528 ) / 12

LCM(540,6528) = 3525120 / 12

LCM(540,6528) = 293760

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FAQs on GCF of Fractions of 5127/540, 3610/6528

1. What is the HCF of 5127,3610?

The HCF of 5127,3610 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 5127/540, 3610/6528?

Answer: GCF of Numerators as per given numbers 5127/540, 3610/6528 is

GCF of Numerators i.e. for 5127,3610 is 1

LCM of denominators i.e. for 540,6528 is 293760.

Thus, GCF of Fractions is 1/293760.Finally, GCF of Fractions for 5127/540, 3610/6528 is 1/293760.