Greatest Common Factor of 65/69, 45/32, 140/944

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 65/69, 45/32, 140/944

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 65/69,45/32,140/944

Given fractions are 65/69,45/32,140/944

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 65,45,140

Greatest Common Factor of Numerators i.e. GCF of 65,45,140 is 5 .

LCM of Denominators means LCM of 69,32,944 as per the given fractions.

LCM of 69,32,944 is 130272 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 65,45,140

GCF of Fractions 65/69,45/32,140/944 is 5/130272

5 65, 45, 140
13, 9, 28

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 65,45,140 By Matching Biggest Common Factor Method

Greatest Common Factor of 65,45,140 By Matching Biggest Common Factor Method

Factors of 65

List of positive integer factors of 65 that divides 65 without a remainder.

1,5,13,65

Factors of 45

List of positive integer factors of 45 that divides 45 without a remainder.

1,3,5,9,15,45

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

Greatest Common Factor

We found the factors 65,45,140 . The biggest common factor number is the GCF number.
So the greatest common factor 65,45,140 is 5.

Lets's calculate LCM of 69,32,944

2 69, 32, 944
2 69, 16, 472
2 69, 8, 236
2 69, 4, 118
69, 2, 59

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 69 x 2 x 59 = 130272

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/130272

Therefore, the GCF of Fractions 65/69,45/32,140/944 is 5/130272

Least Common Multiple of 69,32,944 with GCF Formula

Least Common Multiple of 69,32,944 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 69,32,944 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,32,944) = 1

common factors(in case of two or more numbers have common factors) = 16

GCF(69,32,944) x common factors =1 x 16 = 16

LCM(69,32,944) = ( 69 × 32 × 944 ) / 16

LCM(69,32,944) = 2084352 / 16

LCM(69,32,944) = 130272


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 65/69, 45/32, 140/944

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 65/69, 45/32, 140/944?

Answer: GCF of Numerators as per given numbers 65/69, 45/32, 140/944 is

GCF of Numerators i.e. for 65,45,140 is 5

LCM of denominators i.e. for 69,32,944 is 130272.

Thus, GCF of Fractions is 5/130272.Finally, GCF of Fractions for 65/69, 45/32, 140/944 is 5/130272.