Greatest Common Factor of 5365/454, 9419/3944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5365/454, 9419/3944

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 5365/454,9419/3944

Given fractions are 5365/454,9419/3944

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 5365,9419

Greatest Common Factor of Numerators i.e. GCF of 5365,9419 is 1 .

LCM of Denominators means LCM of 454,3944 as per the given fractions.

LCM of 454,3944 is 895288 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5365,9419

GCF of Fractions 5365/454,9419/3944 is 1/895288

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

Greatest Common Factor of 5365,9419 By Matching Biggest Common Factor Method

Greatest Common Factor of 5365,9419 By Matching Biggest Common Factor Method

Factors of 5365

List of positive integer factors of 5365 that divides 5365 without a remainder.

1,5,29,37,145,185,1073,5365

Factors of 9419

List of positive integer factors of 9419 that divides 9419 without a remainder.

1,9419

Greatest Common Factor

We found the factors 5365,9419 . The biggest common factor number is the GCF number.
So the greatest common factor 5365,9419 is 1.

Lets's calculate LCM of 454,3944

2 454, 3944
227, 1972

∴ So the LCM of the given numbers is 2 x 227 x 1972 = 895288

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/895288

Therefore, the GCF of Fractions 5365/454,9419/3944 is 1/895288

Least Common Multiple of 454,3944 with GCF Formula

Least Common Multiple of 454,3944 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 454,3944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,3944) = 2

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

GCF(454,3944) x common factors =2 x 1 = 2

LCM(454,3944) = ( 454 × 3944 ) / 2

LCM(454,3944) = 1790576 / 2

LCM(454,3944) = 895288


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 5365/454, 9419/3944

1. 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.

2. What is the GCF of Fractions for 5365/454, 9419/3944?

Answer: GCF of Numerators as per given numbers 5365/454, 9419/3944 is

GCF of Numerators i.e. for 5365,9419 is 1

LCM of denominators i.e. for 454,3944 is 895288.

Thus, GCF of Fractions is 1/895288.Finally, GCF of Fractions for 5365/454, 9419/3944 is 1/895288.