Greatest Common Factor of 296/66, 340/58, 742/45

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 296/66, 340/58, 742/45

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 296/66,340/58,742/45

Given fractions are 296/66,340/58,742/45

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 296,340,742

Greatest Common Factor of Numerators i.e. GCF of 296,340,742 is 2 .

LCM of Denominators means LCM of 66,58,45 as per the given fractions.

LCM of 66,58,45 is 28710 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 296,340,742

GCF of Fractions 296/66,340/58,742/45 is 2/28710

2 296, 340, 742
148, 170, 371

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

Greatest Common Factor of 296,340,742 By Matching Biggest Common Factor Method

Greatest Common Factor of 296,340,742 By Matching Biggest Common Factor Method

Factors of 296

List of positive integer factors of 296 that divides 296 without a remainder.

1,2,4,8,37,74,148,296

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 742

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

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

Greatest Common Factor

We found the factors 296,340,742 . The biggest common factor number is the GCF number.
So the greatest common factor 296,340,742 is 2.

Lets's calculate LCM of 66,58,45

2 66, 58, 45
3 33, 29, 45
11, 29, 15

∴ So the LCM of the given numbers is 2 x 3 x 11 x 29 x 15 = 28710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/28710

Therefore, the GCF of Fractions 296/66,340/58,742/45 is 2/28710

Least Common Multiple of 66,58,45 with GCF Formula

Least Common Multiple of 66,58,45 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 66,58,45 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,58,45) = 1

common factors(in case of two or more numbers have common factors) = 6

GCF(66,58,45) x common factors =1 x 6 = 6

LCM(66,58,45) = ( 66 × 58 × 45 ) / 6

LCM(66,58,45) = 172260 / 6

LCM(66,58,45) = 28710


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 296/66, 340/58, 742/45

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 296/66, 340/58, 742/45?

Answer: GCF of Numerators as per given numbers 296/66, 340/58, 742/45 is

GCF of Numerators i.e. for 296,340,742 is 2

LCM of denominators i.e. for 66,58,45 is 28710.

Thus, GCF of Fractions is 2/28710.Finally, GCF of Fractions for 296/66, 340/58, 742/45 is 2/28710.