Greatest Common Factor of 68/641, 28/833, 575/935

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 68/641, 28/833, 575/935

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 68/641,28/833,575/935

Given fractions are 68/641,28/833,575/935

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 68,28,575

Greatest Common Factor of Numerators i.e. GCF of 68,28,575 is 1 .

LCM of Denominators means LCM of 641,833,935 as per the given fractions.

LCM of 641,833,935 is 29367415 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 68,28,575

GCF of Fractions 68/641,28/833,575/935 is 1/29367415

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

Greatest Common Factor of 68,28,575 By Matching Biggest Common Factor Method

Greatest Common Factor of 68,28,575 By Matching Biggest Common Factor Method

Factors of 68

List of positive integer factors of 68 that divides 68 without a remainder.

1,2,4,17,34,68

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 575

List of positive integer factors of 575 that divides 575 without a remainder.

1,5,23,25,115,575

Greatest Common Factor

We found the factors 68,28,575 . The biggest common factor number is the GCF number.
So the greatest common factor 68,28,575 is 1.

Lets's calculate LCM of 641,833,935

17 641, 833, 935
641, 49, 55

∴ So the LCM of the given numbers is 17 x 641 x 49 x 55 = 29367415

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29367415

Therefore, the GCF of Fractions 68/641,28/833,575/935 is 1/29367415

Least Common Multiple of 641,833,935 with GCF Formula

Least Common Multiple of 641,833,935 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 641,833,935 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(641,833,935) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(641,833,935) x common factors =1 x 17 = 17

LCM(641,833,935) = ( 641 × 833 × 935 ) / 17

LCM(641,833,935) = 499246055 / 17

LCM(641,833,935) = 29367415


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 68/641, 28/833, 575/935

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 68/641, 28/833, 575/935?

Answer: GCF of Numerators as per given numbers 68/641, 28/833, 575/935 is

GCF of Numerators i.e. for 68,28,575 is 1

LCM of denominators i.e. for 641,833,935 is 29367415.

Thus, GCF of Fractions is 1/29367415.Finally, GCF of Fractions for 68/641, 28/833, 575/935 is 1/29367415.