Greatest Common Factor of 824/641, 315/438, 175/284

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/641, 315/438, 175/284

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 824/641,315/438,175/284

Given fractions are 824/641,315/438,175/284

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 824,315,175

Greatest Common Factor of Numerators i.e. GCF of 824,315,175 is 1 .

LCM of Denominators means LCM of 641,438,284 as per the given fractions.

LCM of 641,438,284 is 39867636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,315,175

GCF of Fractions 824/641,315/438,175/284 is 1/39867636

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

Greatest Common Factor of 824,315,175 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,315,175 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 315

List of positive integer factors of 315 that divides 315 without a remainder.

1,3,5,7,9,15,21,35,45,63,105,315

Factors of 175

List of positive integer factors of 175 that divides 175 without a remainder.

1,5,7,25,35,175

Greatest Common Factor

We found the factors 824,315,175 . The biggest common factor number is the GCF number.
So the greatest common factor 824,315,175 is 1.

Lets's calculate LCM of 641,438,284

2 641, 438, 284
641, 219, 142

∴ So the LCM of the given numbers is 2 x 641 x 219 x 142 = 39867636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39867636

Therefore, the GCF of Fractions 824/641,315/438,175/284 is 1/39867636

Least Common Multiple of 641,438,284 with GCF Formula

Least Common Multiple of 641,438,284 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 641,438,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,438,284) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(641,438,284) x common factors =1 x 2 = 2

LCM(641,438,284) = ( 641 × 438 × 284 ) / 2

LCM(641,438,284) = 79735272 / 2

LCM(641,438,284) = 39867636


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 824/641, 315/438, 175/284

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 824/641, 315/438, 175/284?

Answer: GCF of Numerators as per given numbers 824/641, 315/438, 175/284 is

GCF of Numerators i.e. for 824,315,175 is 1

LCM of denominators i.e. for 641,438,284 is 39867636.

Thus, GCF of Fractions is 1/39867636.Finally, GCF of Fractions for 824/641, 315/438, 175/284 is 1/39867636.