Greatest Common Factor of 559/454, 728/167

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 559/454, 728/167

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 559/454,728/167

Given fractions are 559/454,728/167

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 559,728

Greatest Common Factor of Numerators i.e. GCF of 559,728 is 13 .

LCM of Denominators means LCM of 454,167 as per the given fractions.

LCM of 454,167 is 75818 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 559,728

GCF of Fractions 559/454,728/167 is 13/75818

13 559, 728
43, 56

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 559,728 By Matching Biggest Common Factor Method

Greatest Common Factor of 559,728 By Matching Biggest Common Factor Method

Factors of 559

List of positive integer factors of 559 that divides 559 without a remainder.

1,13,43,559

Factors of 728

List of positive integer factors of 728 that divides 728 without a remainder.

1,2,4,7,8,13,14,26,28,52,56,91,104,182,364,728

Greatest Common Factor

We found the factors 559,728 . The biggest common factor number is the GCF number.
So the greatest common factor 559,728 is 13.

Lets's calculate LCM of 454,167

Given numbers has no common factors except 1. So, there LCM is their product i.e 75818

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/75818

Therefore, the GCF of Fractions 559/454,728/167 is 13/75818

Least Common Multiple of 454,167 with GCF Formula

Least Common Multiple of 454,167 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 454,167 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(454,167) = 1

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

GCF(454,167) x common factors =1 x 1 = 1

LCM(454,167) = ( 454 × 167 ) / 1

LCM(454,167) = 75818 / 1

LCM(454,167) = 75818


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 559/454, 728/167

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 559/454, 728/167?

Answer: GCF of Numerators as per given numbers 559/454, 728/167 is

GCF of Numerators i.e. for 559,728 is 13

LCM of denominators i.e. for 454,167 is 75818.

Thus, GCF of Fractions is 13/75818.Finally, GCF of Fractions for 559/454, 728/167 is 13/75818.