How to Find GCF of 8567/627, 2613/9938?

GCF of 8567/627, 2613/9938

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 8567/627, 2613/9938 i.e 13/6231126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8567/627, 2613/9938.

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 8567/627,2613/9938?

Given fractions are 8567/627,2613/9938

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 8567/627,2613/9938, numerators are 8567,2613

Denominators are 627,9938

The GCF of 8567,2613 is 13 .

LCM of 627,9938 is 6231126.

The greatest common factor of 8567/627,2613/9938 = [GCF of 8567,2613]/[LCM of 627,9938]= 13/6231126

Therefore, the GCF of 8567/627,2613/9938 is 13/6231126.

Greatest Common Factor of 8567,2613

To find the highest common factor of 8567,2613, we have to find the factors of both numbers and list the highest common factor.

The factors of 8567 are 1, 13, 659, 8567

The factors of 2613 are 1, 3, 13, 39, 67, 201, 871, 2613

The HCF of 8567,2613 is 13.

Lets's calculate GCF of 8567,2613

Greatest Common Factor (GCF) of 8567,2613 By Common Division

13	8567, 2613
	659, 201

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 8567,2613 By Matching Biggest Common Factor Method

Now, list down the factors of 8567

1,13,659,8567

Now, list down the factors of 2613

1,3,13,39,67,201,871,2613

Greatest Common Factor

We found the factors 8567,2613 . The biggest common factor number is the GCF number.
So the greatest common factor 8567,2613 is 13.

Lets's calculate LCM of 627,9938

Lowest Common Multiple of 627,9938 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6231126

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/6231126

Therefore, the GCF of Fractions 8567/627,2613/9938 is 13/6231126

Least Common Multiple of 627,9938 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 627,9938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(627,9938) = 1

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

GCF(627,9938) x common factors =1 x 1 = 1

LCM(627,9938) = ( 627 × 9938 ) / 1

LCM(627,9938) = 6231126 / 1

LCM(627,9938) = 6231126

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 8567/627, 2613/9938

1. What is the HCF of 8567,2613?

The HCF of 8567,2613 is 13

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 8567/627, 2613/9938?

Answer: GCF of Numerators as per given numbers 8567/627, 2613/9938 is

GCF of Numerators i.e. for 8567,2613 is 13

LCM of denominators i.e. for 627,9938 is 6231126.

Thus, GCF of Fractions is 13/6231126.Finally, GCF of Fractions for 8567/627, 2613/9938 is 13/6231126.