Greatest Common Factor of 13/745, 150/742, 574/962

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 13/745, 150/742, 574/962

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 13/745,150/742,574/962

Given fractions are 13/745,150/742,574/962

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 13,150,574

Greatest Common Factor of Numerators i.e. GCF of 13,150,574 is 1 .

LCM of Denominators means LCM of 745,742,962 as per the given fractions.

LCM of 745,742,962 is 265891990 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 13,150,574

GCF of Fractions 13/745,150/742,574/962 is 1/265891990

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

Greatest Common Factor of 13,150,574 By Matching Biggest Common Factor Method

Greatest Common Factor of 13,150,574 By Matching Biggest Common Factor Method

Factors of 13

List of positive integer factors of 13 that divides 13 without a remainder.

1,13

Factors of 150

List of positive integer factors of 150 that divides 150 without a remainder.

1,2,3,5,6,10,15,25,30,50,75,150

Factors of 574

List of positive integer factors of 574 that divides 574 without a remainder.

1,2,7,14,41,82,287,574

Greatest Common Factor

We found the factors 13,150,574 . The biggest common factor number is the GCF number.
So the greatest common factor 13,150,574 is 1.

Lets's calculate LCM of 745,742,962

2 745, 742, 962
745, 371, 481

∴ So the LCM of the given numbers is 2 x 745 x 371 x 481 = 265891990

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/265891990

Therefore, the GCF of Fractions 13/745,150/742,574/962 is 1/265891990

Least Common Multiple of 745,742,962 with GCF Formula

Least Common Multiple of 745,742,962 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 745,742,962 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(745,742,962) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(745,742,962) x common factors =1 x 2 = 2

LCM(745,742,962) = ( 745 × 742 × 962 ) / 2

LCM(745,742,962) = 531783980 / 2

LCM(745,742,962) = 265891990


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 13/745, 150/742, 574/962

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 13/745, 150/742, 574/962?

Answer: GCF of Numerators as per given numbers 13/745, 150/742, 574/962 is

GCF of Numerators i.e. for 13,150,574 is 1

LCM of denominators i.e. for 745,742,962 is 265891990.

Thus, GCF of Fractions is 1/265891990.Finally, GCF of Fractions for 13/745, 150/742, 574/962 is 1/265891990.