How to Find GCF of 6537/796, 6005/6964?

GCF of 6537/796, 6005/6964

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 6537/796, 6005/6964 i.e 1/1385836 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6537/796, 6005/6964.

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 6537/796,6005/6964?

Given fractions are 6537/796,6005/6964

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 6537/796,6005/6964, numerators are 6537,6005

Denominators are 796,6964

The GCF of 6537,6005 is 1 .

LCM of 796,6964 is 1385836.

The greatest common factor of 6537/796,6005/6964 = [GCF of 6537,6005]/[LCM of 796,6964]= 1/1385836

Therefore, the GCF of 6537/796,6005/6964 is 1/1385836.

Greatest Common Factor of 6537,6005

To find the highest common factor of 6537,6005, we have to find the factors of both numbers and list the highest common factor.

The factors of 6537 are 1, 3, 2179, 6537

The factors of 6005 are 1, 5, 1201, 6005

The HCF of 6537,6005 is 1.

Lets's calculate GCF of 6537,6005

Greatest Common Factor (GCF) of 6537,6005 By Common Division

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

Greatest Common Factor of 6537,6005 By Matching Biggest Common Factor Method

Now, list down the factors of 6537

1,3,2179,6537

Now, list down the factors of 6005

1,5,1201,6005

Greatest Common Factor

We found the factors 6537,6005 . The biggest common factor number is the GCF number.
So the greatest common factor 6537,6005 is 1.

Lets's calculate LCM of 796,6964

Lowest Common Multiple of 796,6964 using Common Division

2	796, 6964
2	398, 3482
	199, 1741

∴ So the LCM of the given numbers is 2 x 2 x 199 x 1741 = 1385836

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1385836

Therefore, the GCF of Fractions 6537/796,6005/6964 is 1/1385836

Least Common Multiple of 796,6964 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 796,6964 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(796,6964) = 4

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

GCF(796,6964) x common factors =4 x 1 = 4

LCM(796,6964) = ( 796 × 6964 ) / 4

LCM(796,6964) = 5543344 / 4

LCM(796,6964) = 1385836

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FAQs on GCF of Fractions of 6537/796, 6005/6964

1. What is the HCF of 6537,6005?

The HCF of 6537,6005 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 6537/796, 6005/6964?

Answer: GCF of Numerators as per given numbers 6537/796, 6005/6964 is

GCF of Numerators i.e. for 6537,6005 is 1

LCM of denominators i.e. for 796,6964 is 1385836.

Thus, GCF of Fractions is 1/1385836.Finally, GCF of Fractions for 6537/796, 6005/6964 is 1/1385836.