Greatest Common Factor of 435/392, 6045/524

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 435/392, 6045/524

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 435/392,6045/524

Given fractions are 435/392,6045/524

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 435,6045

Greatest Common Factor of Numerators i.e. GCF of 435,6045 is 15 .

LCM of Denominators means LCM of 392,524 as per the given fractions.

LCM of 392,524 is 51352 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 435,6045

GCF of Fractions 435/392,6045/524 is 15/51352

3 435, 6045
5 145, 2015
29, 403

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 435,6045 By Matching Biggest Common Factor Method

Greatest Common Factor of 435,6045 By Matching Biggest Common Factor Method

Factors of 435

List of positive integer factors of 435 that divides 435 without a remainder.

1,3,5,15,29,87,145,435

Factors of 6045

List of positive integer factors of 6045 that divides 6045 without a remainder.

1,3,5,13,15,31,39,65,93,155,195,403,465,1209,2015,6045

Greatest Common Factor

We found the factors 435,6045 . The biggest common factor number is the GCF number.
So the greatest common factor 435,6045 is 15.

Lets's calculate LCM of 392,524

2 392, 524
2 196, 262
98, 131

∴ So the LCM of the given numbers is 2 x 2 x 98 x 131 = 51352

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/51352

Therefore, the GCF of Fractions 435/392,6045/524 is 15/51352

Least Common Multiple of 392,524 with GCF Formula

Least Common Multiple of 392,524 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 392,524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(392,524) = 4

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

GCF(392,524) x common factors =4 x 1 = 4

LCM(392,524) = ( 392 × 524 ) / 4

LCM(392,524) = 205408 / 4

LCM(392,524) = 51352


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 435/392, 6045/524

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 435/392, 6045/524?

Answer: GCF of Numerators as per given numbers 435/392, 6045/524 is

GCF of Numerators i.e. for 435,6045 is 15

LCM of denominators i.e. for 392,524 is 51352.

Thus, GCF of Fractions is 15/51352.Finally, GCF of Fractions for 435/392, 6045/524 is 15/51352.