How to Find GCF of 2815/620, 3093/540?

GCF of 2815/620, 3093/540

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 2815/620, 3093/540 i.e 1/16740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2815/620, 3093/540.

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 2815/620,3093/540?

Given fractions are 2815/620,3093/540

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 2815/620,3093/540, numerators are 2815,3093

Denominators are 620,540

The GCF of 2815,3093 is 1 .

LCM of 620,540 is 16740.

The greatest common factor of 2815/620,3093/540 = [GCF of 2815,3093]/[LCM of 620,540]= 1/16740

Therefore, the GCF of 2815/620,3093/540 is 1/16740.

Greatest Common Factor of 2815,3093

To find the highest common factor of 2815,3093, we have to find the factors of both numbers and list the highest common factor.

The factors of 2815 are 1, 5, 563, 2815

The factors of 3093 are 1, 3, 1031, 3093

The HCF of 2815,3093 is 1.

Lets's calculate GCF of 2815,3093

Greatest Common Factor (GCF) of 2815,3093 By Common Division

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

Greatest Common Factor of 2815,3093 By Matching Biggest Common Factor Method

Now, list down the factors of 2815

1,5,563,2815

Now, list down the factors of 3093

1,3,1031,3093

Greatest Common Factor

We found the factors 2815,3093 . The biggest common factor number is the GCF number.
So the greatest common factor 2815,3093 is 1.

Lets's calculate LCM of 620,540

Lowest Common Multiple of 620,540 using Common Division

2	620, 540
2	310, 270
5	155, 135
	31, 27

∴ So the LCM of the given numbers is 2 x 2 x 5 x 31 x 27 = 16740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/16740

Therefore, the GCF of Fractions 2815/620,3093/540 is 1/16740

Least Common Multiple of 620,540 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 620,540 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,540) = 20

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

GCF(620,540) x common factors =20 x 1 = 20

LCM(620,540) = ( 620 × 540 ) / 20

LCM(620,540) = 334800 / 20

LCM(620,540) = 16740

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FAQs on GCF of Fractions of 2815/620, 3093/540

1. What is the HCF of 2815,3093?

The HCF of 2815,3093 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 2815/620, 3093/540?

Answer: GCF of Numerators as per given numbers 2815/620, 3093/540 is

GCF of Numerators i.e. for 2815,3093 is 1

LCM of denominators i.e. for 620,540 is 16740.

Thus, GCF of Fractions is 1/16740.Finally, GCF of Fractions for 2815/620, 3093/540 is 1/16740.