Greatest Common Factor of 140/36, 106/59, 754/38

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 140/36, 106/59, 754/38

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 140/36,106/59,754/38

Given fractions are 140/36,106/59,754/38

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 140,106,754

Greatest Common Factor of Numerators i.e. GCF of 140,106,754 is 2 .

LCM of Denominators means LCM of 36,59,38 as per the given fractions.

LCM of 36,59,38 is 40356 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 140,106,754

GCF of Fractions 140/36,106/59,754/38 is 2/40356

2 140, 106, 754
70, 53, 377

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

Greatest Common Factor of 140,106,754 By Matching Biggest Common Factor Method

Greatest Common Factor of 140,106,754 By Matching Biggest Common Factor Method

Factors of 140

List of positive integer factors of 140 that divides 140 without a remainder.

1,2,4,5,7,10,14,20,28,35,70,140

Factors of 106

List of positive integer factors of 106 that divides 106 without a remainder.

1,2,53,106

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Greatest Common Factor

We found the factors 140,106,754 . The biggest common factor number is the GCF number.
So the greatest common factor 140,106,754 is 2.

Lets's calculate LCM of 36,59,38

2 36, 59, 38
18, 59, 19

∴ So the LCM of the given numbers is 2 x 18 x 59 x 19 = 40356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/40356

Therefore, the GCF of Fractions 140/36,106/59,754/38 is 2/40356

Least Common Multiple of 36,59,38 with GCF Formula

Least Common Multiple of 36,59,38 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 36,59,38 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(36,59,38) = 1

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

GCF(36,59,38) x common factors =1 x 2 = 2

LCM(36,59,38) = ( 36 × 59 × 38 ) / 2

LCM(36,59,38) = 80712 / 2

LCM(36,59,38) = 40356


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 140/36, 106/59, 754/38

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 140/36, 106/59, 754/38?

Answer: GCF of Numerators as per given numbers 140/36, 106/59, 754/38 is

GCF of Numerators i.e. for 140,106,754 is 2

LCM of denominators i.e. for 36,59,38 is 40356.

Thus, GCF of Fractions is 2/40356.Finally, GCF of Fractions for 140/36, 106/59, 754/38 is 2/40356.