Greatest Common Factor of 544/32, 145/640

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/32, 145/640

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 544/32,145/640

Given fractions are 544/32,145/640

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 544,145

Greatest Common Factor of Numerators i.e. GCF of 544,145 is 1 .

LCM of Denominators means LCM of 32,640 as per the given fractions.

LCM of 32,640 is 640 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,145

GCF of Fractions 544/32,145/640 is 1/640

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

Greatest Common Factor of 544,145 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,145 By Matching Biggest Common Factor Method

Factors of 544

List of positive integer factors of 544 that divides 544 without a remainder.

1,2,4,8,16,17,32,34,68,136,272,544

Factors of 145

List of positive integer factors of 145 that divides 145 without a remainder.

1,5,29,145

Greatest Common Factor

We found the factors 544,145 . The biggest common factor number is the GCF number.
So the greatest common factor 544,145 is 1.

Lets's calculate LCM of 32,640

2 32, 640
2 16, 320
2 8, 160
2 4, 80
2 2, 40
1, 20

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 1 x 20 = 640

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/640

Therefore, the GCF of Fractions 544/32,145/640 is 1/640

Least Common Multiple of 32,640 with GCF Formula

Least Common Multiple of 32,640 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 32,640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,640) = 32

common factors(in case of two or more numbers have common factors) = 1

GCF(32,640) x common factors =32 x 1 = 32

LCM(32,640) = ( 32 × 640 ) / 32

LCM(32,640) = 20480 / 32

LCM(32,640) = 640


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 544/32, 145/640

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 544/32, 145/640?

Answer: GCF of Numerators as per given numbers 544/32, 145/640 is

GCF of Numerators i.e. for 544,145 is 1

LCM of denominators i.e. for 32,640 is 640.

Thus, GCF of Fractions is 1/640.Finally, GCF of Fractions for 544/32, 145/640 is 1/640.