How to Find GCF of 6311/702, 4574/5291?

GCF of 6311/702, 4574/5291

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 6311/702, 4574/5291 i.e 1/285714 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6311/702, 4574/5291.

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 6311/702,4574/5291?

Given fractions are 6311/702,4574/5291

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 6311/702,4574/5291, numerators are 6311,4574

Denominators are 702,5291

The GCF of 6311,4574 is 1 .

LCM of 702,5291 is 285714.

The greatest common factor of 6311/702,4574/5291 = [GCF of 6311,4574]/[LCM of 702,5291]= 1/285714

Therefore, the GCF of 6311/702,4574/5291 is 1/285714.

Greatest Common Factor of 6311,4574

To find the highest common factor of 6311,4574, we have to find the factors of both numbers and list the highest common factor.

The factors of 6311 are 1, 6311

The factors of 4574 are 1, 2, 2287, 4574

The HCF of 6311,4574 is 1.

Lets's calculate GCF of 6311,4574

Greatest Common Factor (GCF) of 6311,4574 By Common Division

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

Greatest Common Factor of 6311,4574 By Matching Biggest Common Factor Method

Now, list down the factors of 6311

1,6311

Now, list down the factors of 4574

1,2,2287,4574

Greatest Common Factor

We found the factors 6311,4574 . The biggest common factor number is the GCF number.
So the greatest common factor 6311,4574 is 1.

Lets's calculate LCM of 702,5291

Lowest Common Multiple of 702,5291 using Common Division

13	702, 5291
	54, 407

∴ So the LCM of the given numbers is 13 x 54 x 407 = 285714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/285714

Therefore, the GCF of Fractions 6311/702,4574/5291 is 1/285714

Least Common Multiple of 702,5291 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 702,5291 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(702,5291) = 13

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

GCF(702,5291) x common factors =13 x 1 = 13

LCM(702,5291) = ( 702 × 5291 ) / 13

LCM(702,5291) = 3714282 / 13

LCM(702,5291) = 285714

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FAQs on GCF of Fractions of 6311/702, 4574/5291

1. What is the HCF of 6311,4574?

The HCF of 6311,4574 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 6311/702, 4574/5291?

Answer: GCF of Numerators as per given numbers 6311/702, 4574/5291 is

GCF of Numerators i.e. for 6311,4574 is 1

LCM of denominators i.e. for 702,5291 is 285714.

Thus, GCF of Fractions is 1/285714.Finally, GCF of Fractions for 6311/702, 4574/5291 is 1/285714.