Greatest Common Factor of 544/105, 832/347

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 544/105, 832/347

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 544/105,832/347

Given fractions are 544/105,832/347

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 544,832

Greatest Common Factor of Numerators i.e. GCF of 544,832 is 32 .

LCM of Denominators means LCM of 105,347 as per the given fractions.

LCM of 105,347 is 36435 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 544,832

GCF of Fractions 544/105,832/347 is 32/36435

2 544, 832
2 272, 416
2 136, 208
2 68, 104
2 34, 52
17, 26

∴ So the GCF of the given numbers is 2 x 2 x 2 x 2 x 2 = 32

Greatest Common Factor of 544,832 By Matching Biggest Common Factor Method

Greatest Common Factor of 544,832 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 832

List of positive integer factors of 832 that divides 832 without a remainder.

1,2,4,8,13,16,26,32,52,64,104,208,416,832

Greatest Common Factor

We found the factors 544,832 . The biggest common factor number is the GCF number.
So the greatest common factor 544,832 is 32.

Lets's calculate LCM of 105,347

Given numbers has no common factors except 1. So, there LCM is their product i.e 36435

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 32/36435

Therefore, the GCF of Fractions 544/105,832/347 is 32/36435

Least Common Multiple of 105,347 with GCF Formula

Least Common Multiple of 105,347 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 105,347 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(105,347) = 1

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

GCF(105,347) x common factors =1 x 1 = 1

LCM(105,347) = ( 105 × 347 ) / 1

LCM(105,347) = 36435 / 1

LCM(105,347) = 36435


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 544/105, 832/347

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 544/105, 832/347?

Answer: GCF of Numerators as per given numbers 544/105, 832/347 is

GCF of Numerators i.e. for 544,832 is 32

LCM of denominators i.e. for 105,347 is 36435.

Thus, GCF of Fractions is 32/36435.Finally, GCF of Fractions for 544/105, 832/347 is 32/36435.