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GCF of 9436/371, 6079/1419

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 9436/371, 6079/1419 i.e 1/526449 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9436/371, 6079/1419.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 9436/371,6079/1419?

Given fractions are 9436/371,6079/1419

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 9436/371,6079/1419, numerators are 9436,6079

Denominators are 371,1419

The GCF of 9436,6079 is 1 .

LCM of 371,1419 is 526449.

The greatest common factor of 9436/371,6079/1419 = [GCF of 9436,6079]/[LCM of 371,1419]= 1/526449

Therefore, the GCF of 9436/371,6079/1419 is 1/526449.

Greatest Common Factor of 9436,6079

To find the highest common factor of 9436,6079, we have to find the factors of both numbers and list the highest common factor.

The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436

The factors of 6079 are 1, 6079

The HCF of 9436,6079 is 1.

Lets's calculate GCF of 9436,6079

Greatest Common Factor (GCF) of 9436,6079 By Common Division

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

Greatest Common Factor of 9436,6079 By Matching Biggest Common Factor Method

Greatest Common Factor of 9436,6079 By Matching Biggest Common Factor Method

Now, list down the factors of 9436

:

1,2,4,7,14,28,337,674,1348,2359,4718,9436

Now, list down the factors of 6079

:

1,6079

Greatest Common Factor

We found the factors 9436,6079 . The biggest common factor number is the GCF number.
So the greatest common factor 9436,6079 is 1.


Lets's calculate LCM of 371,1419

Lowest Common Multiple of 371,1419 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 526449

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/526449

Therefore, the GCF of Fractions 9436/371,6079/1419 is 1/526449

Least Common Multiple of 371,1419 with GCF Formula

Least Common Multiple of 371,1419 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 371,1419 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,1419) = 1

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

GCF(371,1419) x common factors =1 x 1 = 1

LCM(371,1419) = ( 371 × 1419 ) / 1

LCM(371,1419) = 526449 / 1

LCM(371,1419) = 526449


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9436/371, 6079/1419

1. What is the HCF of 9436,6079?

The HCF of 9436,6079 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 9436/371, 6079/1419?

Answer: GCF of Numerators as per given numbers 9436/371, 6079/1419 is

GCF of Numerators i.e. for 9436,6079 is 1

LCM of denominators i.e. for 371,1419 is 526449.

Thus, GCF of Fractions is 1/526449.Finally, GCF of Fractions for 9436/371, 6079/1419 is 1/526449.