Greatest Common Factor of 605/751, 595/274

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 605/751, 595/274

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 605/751,595/274

Given fractions are 605/751,595/274

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 605,595

Greatest Common Factor of Numerators i.e. GCF of 605,595 is 5 .

LCM of Denominators means LCM of 751,274 as per the given fractions.

LCM of 751,274 is 205774 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 605,595

GCF of Fractions 605/751,595/274 is 5/205774

5 605, 595
121, 119

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 605,595 By Matching Biggest Common Factor Method

Greatest Common Factor of 605,595 By Matching Biggest Common Factor Method

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 595

List of positive integer factors of 595 that divides 595 without a remainder.

1,5,7,17,35,85,119,595

Greatest Common Factor

We found the factors 605,595 . The biggest common factor number is the GCF number.
So the greatest common factor 605,595 is 5.

Lets's calculate LCM of 751,274

Given numbers has no common factors except 1. So, there LCM is their product i.e 205774

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/205774

Therefore, the GCF of Fractions 605/751,595/274 is 5/205774

Least Common Multiple of 751,274 with GCF Formula

Least Common Multiple of 751,274 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 751,274 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(751,274) = 1

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

GCF(751,274) x common factors =1 x 1 = 1

LCM(751,274) = ( 751 × 274 ) / 1

LCM(751,274) = 205774 / 1

LCM(751,274) = 205774


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 605/751, 595/274

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 605/751, 595/274?

Answer: GCF of Numerators as per given numbers 605/751, 595/274 is

GCF of Numerators i.e. for 605,595 is 5

LCM of denominators i.e. for 751,274 is 205774.

Thus, GCF of Fractions is 5/205774.Finally, GCF of Fractions for 605/751, 595/274 is 5/205774.