Greatest Common Factor of 424/95, 535/80, 593/410

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 424/95, 535/80, 593/410

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 424/95,535/80,593/410

Given fractions are 424/95,535/80,593/410

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 424,535,593

Greatest Common Factor of Numerators i.e. GCF of 424,535,593 is 1 .

LCM of Denominators means LCM of 95,80,410 as per the given fractions.

LCM of 95,80,410 is 62320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 424,535,593

GCF of Fractions 424/95,535/80,593/410 is 1/62320

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

Greatest Common Factor of 424,535,593 By Matching Biggest Common Factor Method

Greatest Common Factor of 424,535,593 By Matching Biggest Common Factor Method

Factors of 424

List of positive integer factors of 424 that divides 424 without a remainder.

1,2,4,8,53,106,212,424

Factors of 535

List of positive integer factors of 535 that divides 535 without a remainder.

1,5,107,535

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Greatest Common Factor

We found the factors 424,535,593 . The biggest common factor number is the GCF number.
So the greatest common factor 424,535,593 is 1.

Lets's calculate LCM of 95,80,410

2 95, 80, 410
5 95, 40, 205
19, 8, 41

∴ So the LCM of the given numbers is 2 x 5 x 19 x 8 x 41 = 62320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62320

Therefore, the GCF of Fractions 424/95,535/80,593/410 is 1/62320

Least Common Multiple of 95,80,410 with GCF Formula

Least Common Multiple of 95,80,410 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 95,80,410 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,80,410) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(95,80,410) x common factors =5 x 10 = 50

LCM(95,80,410) = ( 95 × 80 × 410 ) / 50

LCM(95,80,410) = 3116000 / 50

LCM(95,80,410) = 62320


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 424/95, 535/80, 593/410

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 424/95, 535/80, 593/410?

Answer: GCF of Numerators as per given numbers 424/95, 535/80, 593/410 is

GCF of Numerators i.e. for 424,535,593 is 1

LCM of denominators i.e. for 95,80,410 is 62320.

Thus, GCF of Fractions is 1/62320.Finally, GCF of Fractions for 424/95, 535/80, 593/410 is 1/62320.