How to Find GCF of 2379/866, 1303/9557?

GCF of 2379/866, 1303/9557

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 2379/866, 1303/9557 i.e 1/8276362 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2379/866, 1303/9557.

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 2379/866,1303/9557?

Given fractions are 2379/866,1303/9557

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 2379/866,1303/9557, numerators are 2379,1303

Denominators are 866,9557

The GCF of 2379,1303 is 1 .

LCM of 866,9557 is 8276362.

The greatest common factor of 2379/866,1303/9557 = [GCF of 2379,1303]/[LCM of 866,9557]= 1/8276362

Therefore, the GCF of 2379/866,1303/9557 is 1/8276362.

Greatest Common Factor of 2379,1303

To find the highest common factor of 2379,1303, we have to find the factors of both numbers and list the highest common factor.

The factors of 2379 are 1, 3, 13, 39, 61, 183, 793, 2379

The factors of 1303 are 1, 1303

The HCF of 2379,1303 is 1.

Lets's calculate GCF of 2379,1303

Greatest Common Factor (GCF) of 2379,1303 By Common Division

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

Greatest Common Factor of 2379,1303 By Matching Biggest Common Factor Method

Now, list down the factors of 2379

1,3,13,39,61,183,793,2379

Now, list down the factors of 1303

1,1303

Greatest Common Factor

We found the factors 2379,1303 . The biggest common factor number is the GCF number.
So the greatest common factor 2379,1303 is 1.

Lets's calculate LCM of 866,9557

Lowest Common Multiple of 866,9557 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8276362

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/8276362

Therefore, the GCF of Fractions 2379/866,1303/9557 is 1/8276362

Least Common Multiple of 866,9557 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 866,9557 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(866,9557) = 1

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

GCF(866,9557) x common factors =1 x 1 = 1

LCM(866,9557) = ( 866 × 9557 ) / 1

LCM(866,9557) = 8276362 / 1

LCM(866,9557) = 8276362

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2379/866, 1303/9557

1. What is the HCF of 2379,1303?

The HCF of 2379,1303 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 2379/866, 1303/9557?

Answer: GCF of Numerators as per given numbers 2379/866, 1303/9557 is

GCF of Numerators i.e. for 2379,1303 is 1

LCM of denominators i.e. for 866,9557 is 8276362.

Thus, GCF of Fractions is 1/8276362.Finally, GCF of Fractions for 2379/866, 1303/9557 is 1/8276362.