Greatest Common Factor of 578/72, 4135/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 578/72, 4135/820

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 578/72,4135/820

Given fractions are 578/72,4135/820

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 578,4135

Greatest Common Factor of Numerators i.e. GCF of 578,4135 is 1 .

LCM of Denominators means LCM of 72,820 as per the given fractions.

LCM of 72,820 is 14760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 578,4135

GCF of Fractions 578/72,4135/820 is 1/14760

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

Greatest Common Factor of 578,4135 By Matching Biggest Common Factor Method

Greatest Common Factor of 578,4135 By Matching Biggest Common Factor Method

Factors of 578

List of positive integer factors of 578 that divides 578 without a remainder.

1,2,17,34,289,578

Factors of 4135

List of positive integer factors of 4135 that divides 4135 without a remainder.

1,5,827,4135

Greatest Common Factor

We found the factors 578,4135 . The biggest common factor number is the GCF number.
So the greatest common factor 578,4135 is 1.

Lets's calculate LCM of 72,820

2 72, 820
2 36, 410
18, 205

∴ So the LCM of the given numbers is 2 x 2 x 18 x 205 = 14760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14760

Therefore, the GCF of Fractions 578/72,4135/820 is 1/14760

Least Common Multiple of 72,820 with GCF Formula

Least Common Multiple of 72,820 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 72,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(72,820) = 4

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

GCF(72,820) x common factors =4 x 1 = 4

LCM(72,820) = ( 72 × 820 ) / 4

LCM(72,820) = 59040 / 4

LCM(72,820) = 14760


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 578/72, 4135/820

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 578/72, 4135/820?

Answer: GCF of Numerators as per given numbers 578/72, 4135/820 is

GCF of Numerators i.e. for 578,4135 is 1

LCM of denominators i.e. for 72,820 is 14760.

Thus, GCF of Fractions is 1/14760.Finally, GCF of Fractions for 578/72, 4135/820 is 1/14760.