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GCF of 6758/297, 3957/1590

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 6758/297, 3957/1590 i.e 1/157410 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6758/297, 3957/1590.

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 6758/297,3957/1590?

Given fractions are 6758/297,3957/1590

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 6758/297,3957/1590, numerators are 6758,3957

Denominators are 297,1590

The GCF of 6758,3957 is 1 .

LCM of 297,1590 is 157410.

The greatest common factor of 6758/297,3957/1590 = [GCF of 6758,3957]/[LCM of 297,1590]= 1/157410

Therefore, the GCF of 6758/297,3957/1590 is 1/157410.

Greatest Common Factor of 6758,3957

To find the highest common factor of 6758,3957, we have to find the factors of both numbers and list the highest common factor.

The factors of 6758 are 1, 2, 31, 62, 109, 218, 3379, 6758

The factors of 3957 are 1, 3, 1319, 3957

The HCF of 6758,3957 is 1.

Lets's calculate GCF of 6758,3957

Greatest Common Factor (GCF) of 6758,3957 By Common Division

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

Greatest Common Factor of 6758,3957 By Matching Biggest Common Factor Method

Greatest Common Factor of 6758,3957 By Matching Biggest Common Factor Method

Now, list down the factors of 6758

:

1,2,31,62,109,218,3379,6758

Now, list down the factors of 3957

:

1,3,1319,3957

Greatest Common Factor

We found the factors 6758,3957 . The biggest common factor number is the GCF number.
So the greatest common factor 6758,3957 is 1.


Lets's calculate LCM of 297,1590

Lowest Common Multiple of 297,1590 using Common Division

3 297, 1590
99, 530

∴ So the LCM of the given numbers is 3 x 99 x 530 = 157410

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/157410

Therefore, the GCF of Fractions 6758/297,3957/1590 is 1/157410

Least Common Multiple of 297,1590 with GCF Formula

Least Common Multiple of 297,1590 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 297,1590 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,1590) = 3

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

GCF(297,1590) x common factors =3 x 1 = 3

LCM(297,1590) = ( 297 × 1590 ) / 3

LCM(297,1590) = 472230 / 3

LCM(297,1590) = 157410


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 6758/297, 3957/1590

1. What is the HCF of 6758,3957?

The HCF of 6758,3957 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 6758/297, 3957/1590?

Answer: GCF of Numerators as per given numbers 6758/297, 3957/1590 is

GCF of Numerators i.e. for 6758,3957 is 1

LCM of denominators i.e. for 297,1590 is 157410.

Thus, GCF of Fractions is 1/157410.Finally, GCF of Fractions for 6758/297, 3957/1590 is 1/157410.