Greatest Common Factor of 759/20, 705/5174

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 759/20, 705/5174

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 759/20,705/5174

Given fractions are 759/20,705/5174

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 759,705

Greatest Common Factor of Numerators i.e. GCF of 759,705 is 3 .

LCM of Denominators means LCM of 20,5174 as per the given fractions.

LCM of 20,5174 is 51740 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 759,705

GCF of Fractions 759/20,705/5174 is 3/51740

3 759, 705
253, 235

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 759,705 By Matching Biggest Common Factor Method

Greatest Common Factor of 759,705 By Matching Biggest Common Factor Method

Factors of 759

List of positive integer factors of 759 that divides 759 without a remainder.

1,3,11,23,33,69,253,759

Factors of 705

List of positive integer factors of 705 that divides 705 without a remainder.

1,3,5,15,47,141,235,705

Greatest Common Factor

We found the factors 759,705 . The biggest common factor number is the GCF number.
So the greatest common factor 759,705 is 3.

Lets's calculate LCM of 20,5174

2 20, 5174
10, 2587

∴ So the LCM of the given numbers is 2 x 10 x 2587 = 51740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/51740

Therefore, the GCF of Fractions 759/20,705/5174 is 3/51740

Least Common Multiple of 20,5174 with GCF Formula

Least Common Multiple of 20,5174 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 20,5174 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,5174) = 2

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

GCF(20,5174) x common factors =2 x 1 = 2

LCM(20,5174) = ( 20 × 5174 ) / 2

LCM(20,5174) = 103480 / 2

LCM(20,5174) = 51740


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 759/20, 705/5174

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 759/20, 705/5174?

Answer: GCF of Numerators as per given numbers 759/20, 705/5174 is

GCF of Numerators i.e. for 759,705 is 3

LCM of denominators i.e. for 20,5174 is 51740.

Thus, GCF of Fractions is 3/51740.Finally, GCF of Fractions for 759/20, 705/5174 is 3/51740.