How to Find GCF of 7909/413, 2377/6231?

GCF of 7909/413, 2377/6231

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 7909/413, 2377/6231 i.e 1/2573403 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7909/413, 2377/6231.

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 7909/413,2377/6231?

Given fractions are 7909/413,2377/6231

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 7909/413,2377/6231, numerators are 7909,2377

Denominators are 413,6231

The GCF of 7909,2377 is 1 .

LCM of 413,6231 is 2573403.

The greatest common factor of 7909/413,2377/6231 = [GCF of 7909,2377]/[LCM of 413,6231]= 1/2573403

Therefore, the GCF of 7909/413,2377/6231 is 1/2573403.

Greatest Common Factor of 7909,2377

To find the highest common factor of 7909,2377, we have to find the factors of both numbers and list the highest common factor.

The factors of 7909 are 1, 11, 719, 7909

The factors of 2377 are 1, 2377

The HCF of 7909,2377 is 1.

Lets's calculate GCF of 7909,2377

Greatest Common Factor (GCF) of 7909,2377 By Common Division

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

Greatest Common Factor of 7909,2377 By Matching Biggest Common Factor Method

Now, list down the factors of 7909

1,11,719,7909

Now, list down the factors of 2377

1,2377

Greatest Common Factor

We found the factors 7909,2377 . The biggest common factor number is the GCF number.
So the greatest common factor 7909,2377 is 1.

Lets's calculate LCM of 413,6231

Lowest Common Multiple of 413,6231 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2573403

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2573403

Therefore, the GCF of Fractions 7909/413,2377/6231 is 1/2573403

Least Common Multiple of 413,6231 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 413,6231 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(413,6231) = 1

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

GCF(413,6231) x common factors =1 x 1 = 1

LCM(413,6231) = ( 413 × 6231 ) / 1

LCM(413,6231) = 2573403 / 1

LCM(413,6231) = 2573403

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7909/413, 2377/6231

1. What is the HCF of 7909,2377?

The HCF of 7909,2377 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 7909/413, 2377/6231?

Answer: GCF of Numerators as per given numbers 7909/413, 2377/6231 is

GCF of Numerators i.e. for 7909,2377 is 1

LCM of denominators i.e. for 413,6231 is 2573403.

Thus, GCF of Fractions is 1/2573403.Finally, GCF of Fractions for 7909/413, 2377/6231 is 1/2573403.