How to Find GCF of 8779/259, 3204/1061?

GCF of 8779/259, 3204/1061

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 8779/259, 3204/1061 i.e 1/274799 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8779/259, 3204/1061.

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 8779/259,3204/1061?

Given fractions are 8779/259,3204/1061

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 8779/259,3204/1061, numerators are 8779,3204

Denominators are 259,1061

The GCF of 8779,3204 is 1 .

LCM of 259,1061 is 274799.

The greatest common factor of 8779/259,3204/1061 = [GCF of 8779,3204]/[LCM of 259,1061]= 1/274799

Therefore, the GCF of 8779/259,3204/1061 is 1/274799.

Greatest Common Factor of 8779,3204

To find the highest common factor of 8779,3204, we have to find the factors of both numbers and list the highest common factor.

The factors of 8779 are 1, 8779

The factors of 3204 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 89, 178, 267, 356, 534, 801, 1068, 1602, 3204

The HCF of 8779,3204 is 1.

Lets's calculate GCF of 8779,3204

Greatest Common Factor (GCF) of 8779,3204 By Common Division

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

Greatest Common Factor of 8779,3204 By Matching Biggest Common Factor Method

Now, list down the factors of 8779

1,8779

Now, list down the factors of 3204

1,2,3,4,6,9,12,18,36,89,178,267,356,534,801,1068,1602,3204

Greatest Common Factor

We found the factors 8779,3204 . The biggest common factor number is the GCF number.
So the greatest common factor 8779,3204 is 1.

Lets's calculate LCM of 259,1061

Lowest Common Multiple of 259,1061 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 274799

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274799

Therefore, the GCF of Fractions 8779/259,3204/1061 is 1/274799

Least Common Multiple of 259,1061 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 259,1061 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(259,1061) = 1

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

GCF(259,1061) x common factors =1 x 1 = 1

LCM(259,1061) = ( 259 × 1061 ) / 1

LCM(259,1061) = 274799 / 1

LCM(259,1061) = 274799

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FAQs on GCF of Fractions of 8779/259, 3204/1061

1. What is the HCF of 8779,3204?

The HCF of 8779,3204 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 8779/259, 3204/1061?

Answer: GCF of Numerators as per given numbers 8779/259, 3204/1061 is

GCF of Numerators i.e. for 8779,3204 is 1

LCM of denominators i.e. for 259,1061 is 274799.

Thus, GCF of Fractions is 1/274799.Finally, GCF of Fractions for 8779/259, 3204/1061 is 1/274799.