How to Find GCF of 8539/619, 6337/9223?

GCF of 8539/619, 6337/9223

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 8539/619, 6337/9223 i.e 1/5709037 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8539/619, 6337/9223.

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 8539/619,6337/9223?

Given fractions are 8539/619,6337/9223

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 8539/619,6337/9223, numerators are 8539,6337

Denominators are 619,9223

The GCF of 8539,6337 is 1 .

LCM of 619,9223 is 5709037.

The greatest common factor of 8539/619,6337/9223 = [GCF of 8539,6337]/[LCM of 619,9223]= 1/5709037

Therefore, the GCF of 8539/619,6337/9223 is 1/5709037.

Greatest Common Factor of 8539,6337

To find the highest common factor of 8539,6337, we have to find the factors of both numbers and list the highest common factor.

The factors of 8539 are 1, 8539

The factors of 6337 are 1, 6337

The HCF of 8539,6337 is 1.

Lets's calculate GCF of 8539,6337

Greatest Common Factor (GCF) of 8539,6337 By Common Division

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

Greatest Common Factor of 8539,6337 By Matching Biggest Common Factor Method

Now, list down the factors of 8539

1,8539

Now, list down the factors of 6337

1,6337

Greatest Common Factor

We found the factors 8539,6337 . The biggest common factor number is the GCF number.
So the greatest common factor 8539,6337 is 1.

Lets's calculate LCM of 619,9223

Lowest Common Multiple of 619,9223 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 5709037

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5709037

Therefore, the GCF of Fractions 8539/619,6337/9223 is 1/5709037

Least Common Multiple of 619,9223 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 619,9223 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(619,9223) = 1

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

GCF(619,9223) x common factors =1 x 1 = 1

LCM(619,9223) = ( 619 × 9223 ) / 1

LCM(619,9223) = 5709037 / 1

LCM(619,9223) = 5709037

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FAQs on GCF of Fractions of 8539/619, 6337/9223

1. What is the HCF of 8539,6337?

The HCF of 8539,6337 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 8539/619, 6337/9223?

Answer: GCF of Numerators as per given numbers 8539/619, 6337/9223 is

GCF of Numerators i.e. for 8539,6337 is 1

LCM of denominators i.e. for 619,9223 is 5709037.

Thus, GCF of Fractions is 1/5709037.Finally, GCF of Fractions for 8539/619, 6337/9223 is 1/5709037.