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GCF of 6297/695, 5737/6840

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 6297/695, 5737/6840 i.e 1/950760 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6297/695, 5737/6840.

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 6297/695,5737/6840?

Given fractions are 6297/695,5737/6840

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 6297/695,5737/6840, numerators are 6297,5737

Denominators are 695,6840

The GCF of 6297,5737 is 1 .

LCM of 695,6840 is 950760.

The greatest common factor of 6297/695,5737/6840 = [GCF of 6297,5737]/[LCM of 695,6840]= 1/950760

Therefore, the GCF of 6297/695,5737/6840 is 1/950760.

Greatest Common Factor of 6297,5737

To find the highest common factor of 6297,5737, we have to find the factors of both numbers and list the highest common factor.

The factors of 6297 are 1, 3, 2099, 6297

The factors of 5737 are 1, 5737

The HCF of 6297,5737 is 1.

Lets's calculate GCF of 6297,5737

Greatest Common Factor (GCF) of 6297,5737 By Common Division

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

Greatest Common Factor of 6297,5737 By Matching Biggest Common Factor Method

Greatest Common Factor of 6297,5737 By Matching Biggest Common Factor Method

Now, list down the factors of 6297

:

1,3,2099,6297

Now, list down the factors of 5737

:

1,5737

Greatest Common Factor

We found the factors 6297,5737 . The biggest common factor number is the GCF number.
So the greatest common factor 6297,5737 is 1.

Lets's calculate LCM of 695,6840

Lowest Common Multiple of 695,6840 using Common Division

5 695, 6840
139, 1368

∴ So the LCM of the given numbers is 5 x 139 x 1368 = 950760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/950760

Therefore, the GCF of Fractions 6297/695,5737/6840 is 1/950760

Least Common Multiple of 695,6840 with GCF Formula

Least Common Multiple of 695,6840 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 695,6840 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(695,6840) = 5

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

GCF(695,6840) x common factors =5 x 1 = 5

LCM(695,6840) = ( 695 × 6840 ) / 5

LCM(695,6840) = 4753800 / 5

LCM(695,6840) = 950760


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FAQs on GCF of Fractions of 6297/695, 5737/6840

1. What is the HCF of 6297,5737?

The HCF of 6297,5737 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 6297/695, 5737/6840?

Answer: GCF of Numerators as per given numbers 6297/695, 5737/6840 is

GCF of Numerators i.e. for 6297,5737 is 1

LCM of denominators i.e. for 695,6840 is 950760.

Thus, GCF of Fractions is 1/950760.Finally, GCF of Fractions for 6297/695, 5737/6840 is 1/950760.