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GCF of 6091/541, 5409/735

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 6091/541, 5409/735 i.e 1/397635 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6091/541, 5409/735.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 6091/541,5409/735?

Given fractions are 6091/541,5409/735

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 6091/541,5409/735, numerators are 6091,5409

Denominators are 541,735

The GCF of 6091,5409 is 1 .

LCM of 541,735 is 397635.

The greatest common factor of 6091/541,5409/735 = [GCF of 6091,5409]/[LCM of 541,735]= 1/397635

Therefore, the GCF of 6091/541,5409/735 is 1/397635.

Greatest Common Factor of 6091,5409

To find the highest common factor of 6091,5409, we have to find the factors of both numbers and list the highest common factor.

The factors of 6091 are 1, 6091

The factors of 5409 are 1, 3, 9, 601, 1803, 5409

The HCF of 6091,5409 is 1.

Lets's calculate GCF of 6091,5409

Greatest Common Factor (GCF) of 6091,5409 By Common Division

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

Greatest Common Factor of 6091,5409 By Matching Biggest Common Factor Method

Greatest Common Factor of 6091,5409 By Matching Biggest Common Factor Method

Now, list down the factors of 6091

:

1,6091

Now, list down the factors of 5409

:

1,3,9,601,1803,5409

Greatest Common Factor

We found the factors 6091,5409 . The biggest common factor number is the GCF number.
So the greatest common factor 6091,5409 is 1.

Lets's calculate LCM of 541,735

Lowest Common Multiple of 541,735 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 397635

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/397635

Therefore, the GCF of Fractions 6091/541,5409/735 is 1/397635

Least Common Multiple of 541,735 with GCF Formula

Least Common Multiple of 541,735 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 541,735 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,735) = 1

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

GCF(541,735) x common factors =1 x 1 = 1

LCM(541,735) = ( 541 × 735 ) / 1

LCM(541,735) = 397635 / 1

LCM(541,735) = 397635


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FAQs on GCF of Fractions of 6091/541, 5409/735

1. What is the HCF of 6091,5409?

The HCF of 6091,5409 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 6091/541, 5409/735?

Answer: GCF of Numerators as per given numbers 6091/541, 5409/735 is

GCF of Numerators i.e. for 6091,5409 is 1

LCM of denominators i.e. for 541,735 is 397635.

Thus, GCF of Fractions is 1/397635.Finally, GCF of Fractions for 6091/541, 5409/735 is 1/397635.