How to Find GCF of 7897/337, 6473/1491?

GCF of 7897/337, 6473/1491

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 7897/337, 6473/1491 i.e 1/502467 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7897/337, 6473/1491.

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 7897/337,6473/1491?

Given fractions are 7897/337,6473/1491

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 7897/337,6473/1491, numerators are 7897,6473

Denominators are 337,1491

The GCF of 7897,6473 is 1 .

LCM of 337,1491 is 502467.

The greatest common factor of 7897/337,6473/1491 = [GCF of 7897,6473]/[LCM of 337,1491]= 1/502467

Therefore, the GCF of 7897/337,6473/1491 is 1/502467.

Greatest Common Factor of 7897,6473

To find the highest common factor of 7897,6473, we have to find the factors of both numbers and list the highest common factor.

The factors of 7897 are 1, 53, 149, 7897

The factors of 6473 are 1, 6473

The HCF of 7897,6473 is 1.

Lets's calculate GCF of 7897,6473

Greatest Common Factor (GCF) of 7897,6473 By Common Division

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

Greatest Common Factor of 7897,6473 By Matching Biggest Common Factor Method

Now, list down the factors of 7897

1,53,149,7897

Now, list down the factors of 6473

1,6473

Greatest Common Factor

We found the factors 7897,6473 . The biggest common factor number is the GCF number.
So the greatest common factor 7897,6473 is 1.

Lets's calculate LCM of 337,1491

Lowest Common Multiple of 337,1491 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 502467

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/502467

Therefore, the GCF of Fractions 7897/337,6473/1491 is 1/502467

Least Common Multiple of 337,1491 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 337,1491 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(337,1491) = 1

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

GCF(337,1491) x common factors =1 x 1 = 1

LCM(337,1491) = ( 337 × 1491 ) / 1

LCM(337,1491) = 502467 / 1

LCM(337,1491) = 502467

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FAQs on GCF of Fractions of 7897/337, 6473/1491

1. What is the HCF of 7897,6473?

The HCF of 7897,6473 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 7897/337, 6473/1491?

Answer: GCF of Numerators as per given numbers 7897/337, 6473/1491 is

GCF of Numerators i.e. for 7897,6473 is 1

LCM of denominators i.e. for 337,1491 is 502467.

Thus, GCF of Fractions is 1/502467.Finally, GCF of Fractions for 7897/337, 6473/1491 is 1/502467.