Greatest Common Factor of 432/16, 760/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 432/16, 760/580

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 432/16,760/580

Given fractions are 432/16,760/580

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 432,760

Greatest Common Factor of Numerators i.e. GCF of 432,760 is 8 .

LCM of Denominators means LCM of 16,580 as per the given fractions.

LCM of 16,580 is 2320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 432,760

GCF of Fractions 432/16,760/580 is 8/2320

2 432, 760
2 216, 380
2 108, 190
54, 95

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 432,760 By Matching Biggest Common Factor Method

Greatest Common Factor of 432,760 By Matching Biggest Common Factor Method

Factors of 432

List of positive integer factors of 432 that divides 432 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,36,48,54,72,108,144,216,432

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Greatest Common Factor

We found the factors 432,760 . The biggest common factor number is the GCF number.
So the greatest common factor 432,760 is 8.

Lets's calculate LCM of 16,580

2 16, 580
2 8, 290
4, 145

∴ So the LCM of the given numbers is 2 x 2 x 4 x 145 = 2320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/2320

Therefore, the GCF of Fractions 432/16,760/580 is 8/2320

Least Common Multiple of 16,580 with GCF Formula

Least Common Multiple of 16,580 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 16,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,580) = 4

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

GCF(16,580) x common factors =4 x 1 = 4

LCM(16,580) = ( 16 × 580 ) / 4

LCM(16,580) = 9280 / 4

LCM(16,580) = 2320


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 432/16, 760/580

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 432/16, 760/580?

Answer: GCF of Numerators as per given numbers 432/16, 760/580 is

GCF of Numerators i.e. for 432,760 is 8

LCM of denominators i.e. for 16,580 is 2320.

Thus, GCF of Fractions is 8/2320.Finally, GCF of Fractions for 432/16, 760/580 is 8/2320.