Greatest Common Factor of 70/76, 30/29, 737/146

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/76, 30/29, 737/146

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 70/76,30/29,737/146

Given fractions are 70/76,30/29,737/146

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 70,30,737

Greatest Common Factor of Numerators i.e. GCF of 70,30,737 is 1 .

LCM of Denominators means LCM of 76,29,146 as per the given fractions.

LCM of 76,29,146 is 160892 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,30,737

GCF of Fractions 70/76,30/29,737/146 is 1/160892

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

Greatest Common Factor of 70,30,737 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,30,737 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 737

List of positive integer factors of 737 that divides 737 without a remainder.

1,11,67,737

Greatest Common Factor

We found the factors 70,30,737 . The biggest common factor number is the GCF number.
So the greatest common factor 70,30,737 is 1.

Lets's calculate LCM of 76,29,146

2 76, 29, 146
38, 29, 73

∴ So the LCM of the given numbers is 2 x 38 x 29 x 73 = 160892

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/160892

Therefore, the GCF of Fractions 70/76,30/29,737/146 is 1/160892

Least Common Multiple of 76,29,146 with GCF Formula

Least Common Multiple of 76,29,146 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 76,29,146 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(76,29,146) = 1

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

GCF(76,29,146) x common factors =1 x 2 = 2

LCM(76,29,146) = ( 76 × 29 × 146 ) / 2

LCM(76,29,146) = 321784 / 2

LCM(76,29,146) = 160892


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 70/76, 30/29, 737/146

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 70/76, 30/29, 737/146?

Answer: GCF of Numerators as per given numbers 70/76, 30/29, 737/146 is

GCF of Numerators i.e. for 70,30,737 is 1

LCM of denominators i.e. for 76,29,146 is 160892.

Thus, GCF of Fractions is 1/160892.Finally, GCF of Fractions for 70/76, 30/29, 737/146 is 1/160892.