Greatest Common Factor of 475/347, 1653/124

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 475/347, 1653/124

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 475/347,1653/124

Given fractions are 475/347,1653/124

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 475,1653

Greatest Common Factor of Numerators i.e. GCF of 475,1653 is 19 .

LCM of Denominators means LCM of 347,124 as per the given fractions.

LCM of 347,124 is 43028 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 475,1653

GCF of Fractions 475/347,1653/124 is 19/43028

19 475, 1653
25, 87

∴ So the GCF of the given numbers is 19 = 19

Greatest Common Factor of 475,1653 By Matching Biggest Common Factor Method

Greatest Common Factor of 475,1653 By Matching Biggest Common Factor Method

Factors of 475

List of positive integer factors of 475 that divides 475 without a remainder.

1,5,19,25,95,475

Factors of 1653

List of positive integer factors of 1653 that divides 1653 without a remainder.

1,3,19,29,57,87,551,1653

Greatest Common Factor

We found the factors 475,1653 . The biggest common factor number is the GCF number.
So the greatest common factor 475,1653 is 19.

Lets's calculate LCM of 347,124

Given numbers has no common factors except 1. So, there LCM is their product i.e 43028

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 19/43028

Therefore, the GCF of Fractions 475/347,1653/124 is 19/43028

Least Common Multiple of 347,124 with GCF Formula

Least Common Multiple of 347,124 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 347,124 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(347,124) = 1

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

GCF(347,124) x common factors =1 x 1 = 1

LCM(347,124) = ( 347 × 124 ) / 1

LCM(347,124) = 43028 / 1

LCM(347,124) = 43028


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 475/347, 1653/124

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 475/347, 1653/124?

Answer: GCF of Numerators as per given numbers 475/347, 1653/124 is

GCF of Numerators i.e. for 475,1653 is 19

LCM of denominators i.e. for 347,124 is 43028.

Thus, GCF of Fractions is 19/43028.Finally, GCF of Fractions for 475/347, 1653/124 is 19/43028.