How to Find GCF of 8719/274, 9426/8043?

GCF of 8719/274, 9426/8043

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 8719/274, 9426/8043 i.e 1/2203782 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8719/274, 9426/8043.

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 8719/274,9426/8043?

Given fractions are 8719/274,9426/8043

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 8719/274,9426/8043, numerators are 8719,9426

Denominators are 274,8043

The GCF of 8719,9426 is 1 .

LCM of 274,8043 is 2203782.

The greatest common factor of 8719/274,9426/8043 = [GCF of 8719,9426]/[LCM of 274,8043]= 1/2203782

Therefore, the GCF of 8719/274,9426/8043 is 1/2203782.

Greatest Common Factor of 8719,9426

To find the highest common factor of 8719,9426, we have to find the factors of both numbers and list the highest common factor.

The factors of 8719 are 1, 8719

The factors of 9426 are 1, 2, 3, 6, 1571, 3142, 4713, 9426

The HCF of 8719,9426 is 1.

Lets's calculate GCF of 8719,9426

Greatest Common Factor (GCF) of 8719,9426 By Common Division

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

Greatest Common Factor of 8719,9426 By Matching Biggest Common Factor Method

Now, list down the factors of 8719

1,8719

Now, list down the factors of 9426

1,2,3,6,1571,3142,4713,9426

Greatest Common Factor

We found the factors 8719,9426 . The biggest common factor number is the GCF number.
So the greatest common factor 8719,9426 is 1.

Lets's calculate LCM of 274,8043

Lowest Common Multiple of 274,8043 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2203782

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2203782

Therefore, the GCF of Fractions 8719/274,9426/8043 is 1/2203782

Least Common Multiple of 274,8043 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 274,8043 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,8043) = 1

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

GCF(274,8043) x common factors =1 x 1 = 1

LCM(274,8043) = ( 274 × 8043 ) / 1

LCM(274,8043) = 2203782 / 1

LCM(274,8043) = 2203782

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FAQs on GCF of Fractions of 8719/274, 9426/8043

1. What is the HCF of 8719,9426?

The HCF of 8719,9426 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 8719/274, 9426/8043?

Answer: GCF of Numerators as per given numbers 8719/274, 9426/8043 is

GCF of Numerators i.e. for 8719,9426 is 1

LCM of denominators i.e. for 274,8043 is 2203782.

Thus, GCF of Fractions is 1/2203782.Finally, GCF of Fractions for 8719/274, 9426/8043 is 1/2203782.