How to Find GCF of 7847/520, 9379/5188?

GCF of 7847/520, 9379/5188

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 7847/520, 9379/5188 i.e 1/674440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7847/520, 9379/5188.

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 7847/520,9379/5188?

Given fractions are 7847/520,9379/5188

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 7847/520,9379/5188, numerators are 7847,9379

Denominators are 520,5188

The GCF of 7847,9379 is 1 .

LCM of 520,5188 is 674440.

The greatest common factor of 7847/520,9379/5188 = [GCF of 7847,9379]/[LCM of 520,5188]= 1/674440

Therefore, the GCF of 7847/520,9379/5188 is 1/674440.

Greatest Common Factor of 7847,9379

To find the highest common factor of 7847,9379, we have to find the factors of both numbers and list the highest common factor.

The factors of 7847 are 1, 7, 19, 59, 133, 413, 1121, 7847

The factors of 9379 are 1, 83, 113, 9379

The HCF of 7847,9379 is 1.

Lets's calculate GCF of 7847,9379

Greatest Common Factor (GCF) of 7847,9379 By Common Division

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

Greatest Common Factor of 7847,9379 By Matching Biggest Common Factor Method

Now, list down the factors of 7847

1,7,19,59,133,413,1121,7847

Now, list down the factors of 9379

1,83,113,9379

Greatest Common Factor

We found the factors 7847,9379 . The biggest common factor number is the GCF number.
So the greatest common factor 7847,9379 is 1.

Lets's calculate LCM of 520,5188

Lowest Common Multiple of 520,5188 using Common Division

2	520, 5188
2	260, 2594
	130, 1297

∴ So the LCM of the given numbers is 2 x 2 x 130 x 1297 = 674440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/674440

Therefore, the GCF of Fractions 7847/520,9379/5188 is 1/674440

Least Common Multiple of 520,5188 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 520,5188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,5188) = 4

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

GCF(520,5188) x common factors =4 x 1 = 4

LCM(520,5188) = ( 520 × 5188 ) / 4

LCM(520,5188) = 2697760 / 4

LCM(520,5188) = 674440

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 7847/520, 9379/5188

1. What is the HCF of 7847,9379?

The HCF of 7847,9379 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 7847/520, 9379/5188?

Answer: GCF of Numerators as per given numbers 7847/520, 9379/5188 is

GCF of Numerators i.e. for 7847,9379 is 1

LCM of denominators i.e. for 520,5188 is 674440.

Thus, GCF of Fractions is 1/674440.Finally, GCF of Fractions for 7847/520, 9379/5188 is 1/674440.