Greatest Common Factor of 188/473, 6290/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 188/473, 6290/569

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 188/473,6290/569

Given fractions are 188/473,6290/569

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 188,6290

Greatest Common Factor of Numerators i.e. GCF of 188,6290 is 2 .

LCM of Denominators means LCM of 473,569 as per the given fractions.

LCM of 473,569 is 269137 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 188,6290

GCF of Fractions 188/473,6290/569 is 2/269137

2 188, 6290
94, 3145

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

Greatest Common Factor of 188,6290 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,6290 By Matching Biggest Common Factor Method

Factors of 188

List of positive integer factors of 188 that divides 188 without a remainder.

1,2,4,47,94,188

Factors of 6290

List of positive integer factors of 6290 that divides 6290 without a remainder.

1,2,5,10,17,34,37,74,85,170,185,370,629,1258,3145,6290

Greatest Common Factor

We found the factors 188,6290 . The biggest common factor number is the GCF number.
So the greatest common factor 188,6290 is 2.

Lets's calculate LCM of 473,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 269137

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/269137

Therefore, the GCF of Fractions 188/473,6290/569 is 2/269137

Least Common Multiple of 473,569 with GCF Formula

Least Common Multiple of 473,569 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 473,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,569) = 1

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

GCF(473,569) x common factors =1 x 1 = 1

LCM(473,569) = ( 473 × 569 ) / 1

LCM(473,569) = 269137 / 1

LCM(473,569) = 269137


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 188/473, 6290/569

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 188/473, 6290/569?

Answer: GCF of Numerators as per given numbers 188/473, 6290/569 is

GCF of Numerators i.e. for 188,6290 is 2

LCM of denominators i.e. for 473,569 is 269137.

Thus, GCF of Fractions is 2/269137.Finally, GCF of Fractions for 188/473, 6290/569 is 2/269137.