Greatest Common Factor of 1/32, 1/81, 45/53, 34/398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1/32, 1/81, 45/53, 34/398

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 1/32,1/81,45/53,34/398

Given fractions are 1/32,1/81,45/53,34/398

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 1,1,45,34

Greatest Common Factor of Numerators i.e. GCF of 1,1,45,34 is 1 .

LCM of Denominators means LCM of 32,81,53,398 as per the given fractions.

LCM of 32,81,53,398 is 27337824 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1,1,45,34

GCF of Fractions 1/32,1/81,45/53,34/398 is 1/27337824

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

Greatest Common Factor of 1,1,45,34 By Matching Biggest Common Factor Method

Greatest Common Factor of 1,1,45,34 By Matching Biggest Common Factor Method

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 1

List of positive integer factors of 1 that divides 1 without a remainder.

1

Factors of 45

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

1,3,5,9,15,45

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Greatest Common Factor

We found the factors 1,1,45,34 . The biggest common factor number is the GCF number.
So the greatest common factor 1,1,45,34 is 1.

Lets's calculate LCM of 32,81,53,398

2 32, 81, 53, 398
16, 81, 53, 199

∴ So the LCM of the given numbers is 2 x 16 x 81 x 53 x 199 = 27337824

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27337824

Therefore, the GCF of Fractions 1/32,1/81,45/53,34/398 is 1/27337824

Least Common Multiple of 32,81,53,398 with GCF Formula

Least Common Multiple of 32,81,53,398 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 32,81,53,398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,81,53,398) = 1

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

GCF(32,81,53,398) x common factors =1 x 2 = 2

LCM(32,81,53,398) = ( 32 × 81 × 53 × 398 ) / 2

LCM(32,81,53,398) = 54675648 / 2

LCM(32,81,53,398) = 27337824


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 1/32, 1/81, 45/53, 34/398

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 1/32, 1/81, 45/53, 34/398?

Answer: GCF of Numerators as per given numbers 1/32, 1/81, 45/53, 34/398 is

GCF of Numerators i.e. for 1,1,45,34 is 1

LCM of denominators i.e. for 32,81,53,398 is 27337824.

Thus, GCF of Fractions is 1/27337824.Finally, GCF of Fractions for 1/32, 1/81, 45/53, 34/398 is 1/27337824.