Greatest Common Factor of 742/14, 326/28, 946/90

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 742/14, 326/28, 946/90

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 742/14,326/28,946/90

Given fractions are 742/14,326/28,946/90

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 742,326,946

Greatest Common Factor of Numerators i.e. GCF of 742,326,946 is 2 .

LCM of Denominators means LCM of 14,28,90 as per the given fractions.

LCM of 14,28,90 is 1260 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 742,326,946

GCF of Fractions 742/14,326/28,946/90 is 2/1260

2 742, 326, 946
371, 163, 473

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 742,326,946 By Matching Biggest Common Factor Method

Greatest Common Factor of 742,326,946 By Matching Biggest Common Factor Method

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 326

List of positive integer factors of 326 that divides 326 without a remainder.

1,2,163,326

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Greatest Common Factor

We found the factors 742,326,946 . The biggest common factor number is the GCF number.
So the greatest common factor 742,326,946 is 2.

Lets's calculate LCM of 14,28,90

2 14, 28, 90
7 7, 14, 45
1, 2, 45

∴ So the LCM of the given numbers is 2 x 7 x 1 x 2 x 45 = 1260

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1260

Therefore, the GCF of Fractions 742/14,326/28,946/90 is 2/1260

Least Common Multiple of 14,28,90 with GCF Formula

Least Common Multiple of 14,28,90 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 14,28,90 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(14,28,90) = 2

common factors(in case of two or more numbers have common factors) = 14

GCF(14,28,90) x common factors =2 x 14 = 28

LCM(14,28,90) = ( 14 × 28 × 90 ) / 28

LCM(14,28,90) = 35280 / 28

LCM(14,28,90) = 1260


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 742/14, 326/28, 946/90

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 742/14, 326/28, 946/90?

Answer: GCF of Numerators as per given numbers 742/14, 326/28, 946/90 is

GCF of Numerators i.e. for 742,326,946 is 2

LCM of denominators i.e. for 14,28,90 is 1260.

Thus, GCF of Fractions is 2/1260.Finally, GCF of Fractions for 742/14, 326/28, 946/90 is 2/1260.