Greatest Common Factor of 34/756, 593/702, 646/205

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 34/756, 593/702, 646/205

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 34/756,593/702,646/205

Given fractions are 34/756,593/702,646/205

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 34,593,646

Greatest Common Factor of Numerators i.e. GCF of 34,593,646 is 1 .

LCM of Denominators means LCM of 756,702,205 as per the given fractions.

LCM of 756,702,205 is 2014740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 34,593,646

GCF of Fractions 34/756,593/702,646/205 is 1/2014740

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

Greatest Common Factor of 34,593,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 34,593,646 By Matching Biggest Common Factor Method

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 593

List of positive integer factors of 593 that divides 593 without a remainder.

1,593

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 34,593,646 . The biggest common factor number is the GCF number.
So the greatest common factor 34,593,646 is 1.

Lets's calculate LCM of 756,702,205

2 756, 702, 205
3 378, 351, 205
3 126, 117, 205
3 42, 39, 205
14, 13, 205

∴ So the LCM of the given numbers is 2 x 3 x 3 x 3 x 14 x 13 x 205 = 2014740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2014740

Therefore, the GCF of Fractions 34/756,593/702,646/205 is 1/2014740

Least Common Multiple of 756,702,205 with GCF Formula

Least Common Multiple of 756,702,205 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 756,702,205 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,702,205) = 1

common factors(in case of two or more numbers have common factors) = 54

GCF(756,702,205) x common factors =1 x 54 = 54

LCM(756,702,205) = ( 756 × 702 × 205 ) / 54

LCM(756,702,205) = 108795960 / 54

LCM(756,702,205) = 2014740


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 34/756, 593/702, 646/205

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 34/756, 593/702, 646/205?

Answer: GCF of Numerators as per given numbers 34/756, 593/702, 646/205 is

GCF of Numerators i.e. for 34,593,646 is 1

LCM of denominators i.e. for 756,702,205 is 2014740.

Thus, GCF of Fractions is 1/2014740.Finally, GCF of Fractions for 34/756, 593/702, 646/205 is 1/2014740.