How to Find GCF of 1326/253, 6742/971?

GCF of 1326/253, 6742/971

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 1326/253, 6742/971 i.e 2/245663 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1326/253, 6742/971.

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 1326/253,6742/971?

Given fractions are 1326/253,6742/971

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 1326/253,6742/971, numerators are 1326,6742

Denominators are 253,971

The GCF of 1326,6742 is 2 .

LCM of 253,971 is 245663.

The greatest common factor of 1326/253,6742/971 = [GCF of 1326,6742]/[LCM of 253,971]= 2/245663

Therefore, the GCF of 1326/253,6742/971 is 2/245663.

Greatest Common Factor of 1326,6742

To find the highest common factor of 1326,6742, we have to find the factors of both numbers and list the highest common factor.

The factors of 1326 are 1, 2, 3, 6, 13, 17, 26, 34, 39, 51, 78, 102, 221, 442, 663, 1326

The factors of 6742 are 1, 2, 3371, 6742

The HCF of 1326,6742 is 2.

Lets's calculate GCF of 1326,6742

Greatest Common Factor (GCF) of 1326,6742 By Common Division

2	1326, 6742
	663, 3371

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1326,6742 By Matching Biggest Common Factor Method

Now, list down the factors of 1326

1,2,3,6,13,17,26,34,39,51,78,102,221,442,663,1326

Now, list down the factors of 6742

1,2,3371,6742

Greatest Common Factor

We found the factors 1326,6742 . The biggest common factor number is the GCF number.
So the greatest common factor 1326,6742 is 2.

Lets's calculate LCM of 253,971

Lowest Common Multiple of 253,971 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 245663

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/245663

Therefore, the GCF of Fractions 1326/253,6742/971 is 2/245663

Least Common Multiple of 253,971 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 253,971 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(253,971) = 1

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

GCF(253,971) x common factors =1 x 1 = 1

LCM(253,971) = ( 253 × 971 ) / 1

LCM(253,971) = 245663 / 1

LCM(253,971) = 245663

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FAQs on GCF of Fractions of 1326/253, 6742/971

1. What is the HCF of 1326,6742?

The HCF of 1326,6742 is 2

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 1326/253, 6742/971?

Answer: GCF of Numerators as per given numbers 1326/253, 6742/971 is

GCF of Numerators i.e. for 1326,6742 is 2

LCM of denominators i.e. for 253,971 is 245663.

Thus, GCF of Fractions is 2/245663.Finally, GCF of Fractions for 1326/253, 6742/971 is 2/245663.