How to Find GCF of 6737/593, 8329/1949?

GCF of 6737/593, 8329/1949

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 6737/593, 8329/1949 i.e 1/1155757 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6737/593, 8329/1949.

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 6737/593,8329/1949?

Given fractions are 6737/593,8329/1949

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 6737/593,8329/1949, numerators are 6737,8329

Denominators are 593,1949

The GCF of 6737,8329 is 1 .

LCM of 593,1949 is 1155757.

The greatest common factor of 6737/593,8329/1949 = [GCF of 6737,8329]/[LCM of 593,1949]= 1/1155757

Therefore, the GCF of 6737/593,8329/1949 is 1/1155757.

Greatest Common Factor of 6737,8329

To find the highest common factor of 6737,8329, we have to find the factors of both numbers and list the highest common factor.

The factors of 6737 are 1, 6737

The factors of 8329 are 1, 8329

The HCF of 6737,8329 is 1.

Lets's calculate GCF of 6737,8329

Greatest Common Factor (GCF) of 6737,8329 By Common Division

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

Greatest Common Factor of 6737,8329 By Matching Biggest Common Factor Method

Now, list down the factors of 6737

1,6737

Now, list down the factors of 8329

1,8329

Greatest Common Factor

We found the factors 6737,8329 . The biggest common factor number is the GCF number.
So the greatest common factor 6737,8329 is 1.

Lets's calculate LCM of 593,1949

Lowest Common Multiple of 593,1949 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1155757

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1155757

Therefore, the GCF of Fractions 6737/593,8329/1949 is 1/1155757

Least Common Multiple of 593,1949 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 593,1949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,1949) = 1

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

GCF(593,1949) x common factors =1 x 1 = 1

LCM(593,1949) = ( 593 × 1949 ) / 1

LCM(593,1949) = 1155757 / 1

LCM(593,1949) = 1155757

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FAQs on GCF of Fractions of 6737/593, 8329/1949

1. What is the HCF of 6737,8329?

The HCF of 6737,8329 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 6737/593, 8329/1949?

Answer: GCF of Numerators as per given numbers 6737/593, 8329/1949 is

GCF of Numerators i.e. for 6737,8329 is 1

LCM of denominators i.e. for 593,1949 is 1155757.

Thus, GCF of Fractions is 1/1155757.Finally, GCF of Fractions for 6737/593, 8329/1949 is 1/1155757.