How to Find GCF of 5426/981, 8539/6509?

GCF of 5426/981, 8539/6509

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 5426/981, 8539/6509 i.e 1/6385329 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5426/981, 8539/6509.

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 5426/981,8539/6509?

Given fractions are 5426/981,8539/6509

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 5426/981,8539/6509, numerators are 5426,8539

Denominators are 981,6509

The GCF of 5426,8539 is 1 .

LCM of 981,6509 is 6385329.

The greatest common factor of 5426/981,8539/6509 = [GCF of 5426,8539]/[LCM of 981,6509]= 1/6385329

Therefore, the GCF of 5426/981,8539/6509 is 1/6385329.

Greatest Common Factor of 5426,8539

To find the highest common factor of 5426,8539, we have to find the factors of both numbers and list the highest common factor.

The factors of 5426 are 1, 2, 2713, 5426

The factors of 8539 are 1, 8539

The HCF of 5426,8539 is 1.

Lets's calculate GCF of 5426,8539

Greatest Common Factor (GCF) of 5426,8539 By Common Division

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

Greatest Common Factor of 5426,8539 By Matching Biggest Common Factor Method

Now, list down the factors of 5426

1,2,2713,5426

Now, list down the factors of 8539

1,8539

Greatest Common Factor

We found the factors 5426,8539 . The biggest common factor number is the GCF number.
So the greatest common factor 5426,8539 is 1.

Lets's calculate LCM of 981,6509

Lowest Common Multiple of 981,6509 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6385329

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6385329

Therefore, the GCF of Fractions 5426/981,8539/6509 is 1/6385329

Least Common Multiple of 981,6509 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 981,6509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,6509) = 1

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

GCF(981,6509) x common factors =1 x 1 = 1

LCM(981,6509) = ( 981 × 6509 ) / 1

LCM(981,6509) = 6385329 / 1

LCM(981,6509) = 6385329

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 5426/981, 8539/6509

1. What is the HCF of 5426,8539?

The HCF of 5426,8539 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 5426/981, 8539/6509?

Answer: GCF of Numerators as per given numbers 5426/981, 8539/6509 is

GCF of Numerators i.e. for 5426,8539 is 1

LCM of denominators i.e. for 981,6509 is 6385329.

Thus, GCF of Fractions is 1/6385329.Finally, GCF of Fractions for 5426/981, 8539/6509 is 1/6385329.