How to Find GCF of 9093/732, 6359/866?

GCF of 9093/732, 6359/866

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 9093/732, 6359/866 i.e 1/316956 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9093/732, 6359/866.

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 9093/732,6359/866?

Given fractions are 9093/732,6359/866

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 9093/732,6359/866, numerators are 9093,6359

Denominators are 732,866

The GCF of 9093,6359 is 1 .

LCM of 732,866 is 316956.

The greatest common factor of 9093/732,6359/866 = [GCF of 9093,6359]/[LCM of 732,866]= 1/316956

Therefore, the GCF of 9093/732,6359/866 is 1/316956.

Greatest Common Factor of 9093,6359

To find the highest common factor of 9093,6359, we have to find the factors of both numbers and list the highest common factor.

The factors of 9093 are 1, 3, 7, 21, 433, 1299, 3031, 9093

The factors of 6359 are 1, 6359

The HCF of 9093,6359 is 1.

Lets's calculate GCF of 9093,6359

Greatest Common Factor (GCF) of 9093,6359 By Common Division

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

Greatest Common Factor of 9093,6359 By Matching Biggest Common Factor Method

Now, list down the factors of 9093

1,3,7,21,433,1299,3031,9093

Now, list down the factors of 6359

1,6359

Greatest Common Factor

We found the factors 9093,6359 . The biggest common factor number is the GCF number.
So the greatest common factor 9093,6359 is 1.

Lets's calculate LCM of 732,866

Lowest Common Multiple of 732,866 using Common Division

2	732, 866
	366, 433

∴ So the LCM of the given numbers is 2 x 366 x 433 = 316956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/316956

Therefore, the GCF of Fractions 9093/732,6359/866 is 1/316956

Least Common Multiple of 732,866 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 732,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(732,866) = 2

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

GCF(732,866) x common factors =2 x 1 = 2

LCM(732,866) = ( 732 × 866 ) / 2

LCM(732,866) = 633912 / 2

LCM(732,866) = 316956

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FAQs on GCF of Fractions of 9093/732, 6359/866

1. What is the HCF of 9093,6359?

The HCF of 9093,6359 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 9093/732, 6359/866?

Answer: GCF of Numerators as per given numbers 9093/732, 6359/866 is

GCF of Numerators i.e. for 9093,6359 is 1

LCM of denominators i.e. for 732,866 is 316956.

Thus, GCF of Fractions is 1/316956.Finally, GCF of Fractions for 9093/732, 6359/866 is 1/316956.