How to Find GCF of 6047/541, 7321/7774?

GCF of 6047/541, 7321/7774

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 6047/541, 7321/7774 i.e 1/4205734 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6047/541, 7321/7774.

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 6047/541,7321/7774?

Given fractions are 6047/541,7321/7774

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 6047/541,7321/7774, numerators are 6047,7321

Denominators are 541,7774

The GCF of 6047,7321 is 1 .

LCM of 541,7774 is 4205734.

The greatest common factor of 6047/541,7321/7774 = [GCF of 6047,7321]/[LCM of 541,7774]= 1/4205734

Therefore, the GCF of 6047/541,7321/7774 is 1/4205734.

Greatest Common Factor of 6047,7321

To find the highest common factor of 6047,7321, we have to find the factors of both numbers and list the highest common factor.

The factors of 6047 are 1, 6047

The factors of 7321 are 1, 7321

The HCF of 6047,7321 is 1.

Lets's calculate GCF of 6047,7321

Greatest Common Factor (GCF) of 6047,7321 By Common Division

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

Greatest Common Factor of 6047,7321 By Matching Biggest Common Factor Method

Now, list down the factors of 6047

1,6047

Now, list down the factors of 7321

1,7321

Greatest Common Factor

We found the factors 6047,7321 . The biggest common factor number is the GCF number.
So the greatest common factor 6047,7321 is 1.

Lets's calculate LCM of 541,7774

Lowest Common Multiple of 541,7774 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4205734

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4205734

Therefore, the GCF of Fractions 6047/541,7321/7774 is 1/4205734

Least Common Multiple of 541,7774 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 541,7774 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(541,7774) = 1

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

GCF(541,7774) x common factors =1 x 1 = 1

LCM(541,7774) = ( 541 × 7774 ) / 1

LCM(541,7774) = 4205734 / 1

LCM(541,7774) = 4205734

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FAQs on GCF of Fractions of 6047/541, 7321/7774

1. What is the HCF of 6047,7321?

The HCF of 6047,7321 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 6047/541, 7321/7774?

Answer: GCF of Numerators as per given numbers 6047/541, 7321/7774 is

GCF of Numerators i.e. for 6047,7321 is 1

LCM of denominators i.e. for 541,7774 is 4205734.

Thus, GCF of Fractions is 1/4205734.Finally, GCF of Fractions for 6047/541, 7321/7774 is 1/4205734.