Greatest Common Factor of 475/65, 742/44, 338/597

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/65, 742/44, 338/597

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 475/65,742/44,338/597

Given fractions are 475/65,742/44,338/597

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 475,742,338

Greatest Common Factor of Numerators i.e. GCF of 475,742,338 is 1 .

LCM of Denominators means LCM of 65,44,597 as per the given fractions.

LCM of 65,44,597 is 1707420 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,742,338

GCF of Fractions 475/65,742/44,338/597 is 1/1707420

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

Greatest Common Factor of 475,742,338 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,742,338 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 742

List of positive integer factors of 742 that divides 742 without a remainder.

1,2,7,14,53,106,371,742

Factors of 338

List of positive integer factors of 338 that divides 338 without a remainder.

1,2,13,26,169,338

Greatest Common Factor

We found the factors 475,742,338 . The biggest common factor number is the GCF number.
So the greatest common factor 475,742,338 is 1.

Lets's calculate LCM of 65,44,597

Given numbers has no common factors except 1. So, there LCM is their product i.e 1707420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1707420

Therefore, the GCF of Fractions 475/65,742/44,338/597 is 1/1707420

Least Common Multiple of 65,44,597 with GCF Formula

Least Common Multiple of 65,44,597 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 65,44,597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(65,44,597) = 1

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

GCF(65,44,597) x common factors =1 x 1 = 1

LCM(65,44,597) = ( 65 × 44 × 597 ) / 1

LCM(65,44,597) = 1707420 / 1

LCM(65,44,597) = 1707420


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 475/65, 742/44, 338/597

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 475/65, 742/44, 338/597?

Answer: GCF of Numerators as per given numbers 475/65, 742/44, 338/597 is

GCF of Numerators i.e. for 475,742,338 is 1

LCM of denominators i.e. for 65,44,597 is 1707420.

Thus, GCF of Fractions is 1/1707420.Finally, GCF of Fractions for 475/65, 742/44, 338/597 is 1/1707420.