How to Find GCF of 761/572, 540/791?

GCF of 761/572, 540/791

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 761/572, 540/791 i.e 1/452452 easily. The following is the detailed procedure to determine the greatest common factor of fractions 761/572, 540/791.

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 761/572,540/791?

Given fractions are 761/572,540/791

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 761/572,540/791, numerators are 761,540

Denominators are 572,791

The GCF of 761,540 is 1 .

LCM of 572,791 is 452452.

The greatest common factor of 761/572,540/791 = [GCF of 761,540]/[LCM of 572,791]= 1/452452

Therefore, the GCF of 761/572,540/791 is 1/452452.

Greatest Common Factor of 761,540

To find the highest common factor of 761,540, we have to find the factors of both numbers and list the highest common factor.

The factors of 761 are 1, 761

The factors of 540 are 1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 27, 30, 36, 45, 54, 60, 90, 108, 135, 180, 270, 540

The HCF of 761,540 is 1.

Lets's calculate GCF of 761,540

Greatest Common Factor (GCF) of 761,540 By Common Division

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

Greatest Common Factor of 761,540 By Matching Biggest Common Factor Method

Now, list down the factors of 761

1,761

Now, list down the factors of 540

1,2,3,4,5,6,9,10,12,15,18,20,27,30,36,45,54,60,90,108,135,180,270,540

Greatest Common Factor

We found the factors 761,540 . The biggest common factor number is the GCF number.
So the greatest common factor 761,540 is 1.

Lets's calculate LCM of 572,791

Lowest Common Multiple of 572,791 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 452452

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/452452

Therefore, the GCF of Fractions 761/572,540/791 is 1/452452

Least Common Multiple of 572,791 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 572,791 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(572,791) = 1

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

GCF(572,791) x common factors =1 x 1 = 1

LCM(572,791) = ( 572 × 791 ) / 1

LCM(572,791) = 452452 / 1

LCM(572,791) = 452452

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FAQs on GCF of Fractions of 761/572, 540/791

1. What is the HCF of 761,540?

The HCF of 761,540 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 761/572, 540/791?

Answer: GCF of Numerators as per given numbers 761/572, 540/791 is

GCF of Numerators i.e. for 761,540 is 1

LCM of denominators i.e. for 572,791 is 452452.

Thus, GCF of Fractions is 1/452452.Finally, GCF of Fractions for 761/572, 540/791 is 1/452452.