How to Find GCF of 2613/827, 9419/7730?

GCF of 2613/827, 9419/7730

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 2613/827, 9419/7730 i.e 1/6392710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2613/827, 9419/7730.

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 2613/827,9419/7730?

Given fractions are 2613/827,9419/7730

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 2613/827,9419/7730, numerators are 2613,9419

Denominators are 827,7730

The GCF of 2613,9419 is 1 .

LCM of 827,7730 is 6392710.

The greatest common factor of 2613/827,9419/7730 = [GCF of 2613,9419]/[LCM of 827,7730]= 1/6392710

Therefore, the GCF of 2613/827,9419/7730 is 1/6392710.

Greatest Common Factor of 2613,9419

To find the highest common factor of 2613,9419, we have to find the factors of both numbers and list the highest common factor.

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

The factors of 9419 are 1, 9419

The HCF of 2613,9419 is 1.

Lets's calculate GCF of 2613,9419

Greatest Common Factor (GCF) of 2613,9419 By Common Division

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

Greatest Common Factor of 2613,9419 By Matching Biggest Common Factor Method

Now, list down the factors of 2613

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

Now, list down the factors of 9419

1,9419

Greatest Common Factor

We found the factors 2613,9419 . The biggest common factor number is the GCF number.
So the greatest common factor 2613,9419 is 1.

Lets's calculate LCM of 827,7730

Lowest Common Multiple of 827,7730 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6392710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6392710

Therefore, the GCF of Fractions 2613/827,9419/7730 is 1/6392710

Least Common Multiple of 827,7730 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 827,7730 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,7730) = 1

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

GCF(827,7730) x common factors =1 x 1 = 1

LCM(827,7730) = ( 827 × 7730 ) / 1

LCM(827,7730) = 6392710 / 1

LCM(827,7730) = 6392710

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2613/827, 9419/7730

1. What is the HCF of 2613,9419?

The HCF of 2613,9419 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 2613/827, 9419/7730?

Answer: GCF of Numerators as per given numbers 2613/827, 9419/7730 is

GCF of Numerators i.e. for 2613,9419 is 1

LCM of denominators i.e. for 827,7730 is 6392710.

Thus, GCF of Fractions is 1/6392710.Finally, GCF of Fractions for 2613/827, 9419/7730 is 1/6392710.