Greatest Common Factor of 74/172, 512/820

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 74/172, 512/820

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 74/172,512/820

Given fractions are 74/172,512/820

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 74,512

Greatest Common Factor of Numerators i.e. GCF of 74,512 is 2 .

LCM of Denominators means LCM of 172,820 as per the given fractions.

LCM of 172,820 is 35260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 74,512

GCF of Fractions 74/172,512/820 is 2/35260

2 74, 512
37, 256

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

Greatest Common Factor of 74,512 By Matching Biggest Common Factor Method

Greatest Common Factor of 74,512 By Matching Biggest Common Factor Method

Factors of 74

List of positive integer factors of 74 that divides 74 without a remainder.

1,2,37,74

Factors of 512

List of positive integer factors of 512 that divides 512 without a remainder.

1,2,4,8,16,32,64,128,256,512

Greatest Common Factor

We found the factors 74,512 . The biggest common factor number is the GCF number.
So the greatest common factor 74,512 is 2.

Lets's calculate LCM of 172,820

2 172, 820
2 86, 410
43, 205

∴ So the LCM of the given numbers is 2 x 2 x 43 x 205 = 35260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/35260

Therefore, the GCF of Fractions 74/172,512/820 is 2/35260

Least Common Multiple of 172,820 with GCF Formula

Least Common Multiple of 172,820 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 172,820 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(172,820) = 4

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

GCF(172,820) x common factors =4 x 1 = 4

LCM(172,820) = ( 172 × 820 ) / 4

LCM(172,820) = 141040 / 4

LCM(172,820) = 35260


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 74/172, 512/820

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 74/172, 512/820?

Answer: GCF of Numerators as per given numbers 74/172, 512/820 is

GCF of Numerators i.e. for 74,512 is 2

LCM of denominators i.e. for 172,820 is 35260.

Thus, GCF of Fractions is 2/35260.Finally, GCF of Fractions for 74/172, 512/820 is 2/35260.