How to Find GCF of 7359/317, 3973/1132?

GCF of 7359/317, 3973/1132

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 7359/317, 3973/1132 i.e 1/358844 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7359/317, 3973/1132.

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 7359/317,3973/1132?

Given fractions are 7359/317,3973/1132

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 7359/317,3973/1132, numerators are 7359,3973

Denominators are 317,1132

The GCF of 7359,3973 is 1 .

LCM of 317,1132 is 358844.

The greatest common factor of 7359/317,3973/1132 = [GCF of 7359,3973]/[LCM of 317,1132]= 1/358844

Therefore, the GCF of 7359/317,3973/1132 is 1/358844.

Greatest Common Factor of 7359,3973

To find the highest common factor of 7359,3973, we have to find the factors of both numbers and list the highest common factor.

The factors of 7359 are 1, 3, 11, 33, 223, 669, 2453, 7359

The factors of 3973 are 1, 29, 137, 3973

The HCF of 7359,3973 is 1.

Lets's calculate GCF of 7359,3973

Greatest Common Factor (GCF) of 7359,3973 By Common Division

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

Greatest Common Factor of 7359,3973 By Matching Biggest Common Factor Method

Now, list down the factors of 7359

1,3,11,33,223,669,2453,7359

Now, list down the factors of 3973

1,29,137,3973

Greatest Common Factor

We found the factors 7359,3973 . The biggest common factor number is the GCF number.
So the greatest common factor 7359,3973 is 1.

Lets's calculate LCM of 317,1132

Lowest Common Multiple of 317,1132 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 358844

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/358844

Therefore, the GCF of Fractions 7359/317,3973/1132 is 1/358844

Least Common Multiple of 317,1132 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 317,1132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(317,1132) = 1

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

GCF(317,1132) x common factors =1 x 1 = 1

LCM(317,1132) = ( 317 × 1132 ) / 1

LCM(317,1132) = 358844 / 1

LCM(317,1132) = 358844

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FAQs on GCF of Fractions of 7359/317, 3973/1132

1. What is the HCF of 7359,3973?

The HCF of 7359,3973 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 7359/317, 3973/1132?

Answer: GCF of Numerators as per given numbers 7359/317, 3973/1132 is

GCF of Numerators i.e. for 7359,3973 is 1

LCM of denominators i.e. for 317,1132 is 358844.

Thus, GCF of Fractions is 1/358844.Finally, GCF of Fractions for 7359/317, 3973/1132 is 1/358844.