Greatest Common Factor of 188/47, 568/59, 314/74

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 188/47, 568/59, 314/74

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 188/47,568/59,314/74

Given fractions are 188/47,568/59,314/74

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 188,568,314

Greatest Common Factor of Numerators i.e. GCF of 188,568,314 is 2 .

LCM of Denominators means LCM of 47,59,74 as per the given fractions.

LCM of 47,59,74 is 205202 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 188,568,314

GCF of Fractions 188/47,568/59,314/74 is 2/205202

2 188, 568, 314
94, 284, 157

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

Greatest Common Factor of 188,568,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 188,568,314 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 568

List of positive integer factors of 568 that divides 568 without a remainder.

1,2,4,8,71,142,284,568

Factors of 314

List of positive integer factors of 314 that divides 314 without a remainder.

1,2,157,314

Greatest Common Factor

We found the factors 188,568,314 . The biggest common factor number is the GCF number.
So the greatest common factor 188,568,314 is 2.

Lets's calculate LCM of 47,59,74

Given numbers has no common factors except 1. So, there LCM is their product i.e 205202

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/205202

Therefore, the GCF of Fractions 188/47,568/59,314/74 is 2/205202

Least Common Multiple of 47,59,74 with GCF Formula

Least Common Multiple of 47,59,74 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 47,59,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,59,74) = 1

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

GCF(47,59,74) x common factors =1 x 1 = 1

LCM(47,59,74) = ( 47 × 59 × 74 ) / 1

LCM(47,59,74) = 205202 / 1

LCM(47,59,74) = 205202


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 188/47, 568/59, 314/74

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 188/47, 568/59, 314/74?

Answer: GCF of Numerators as per given numbers 188/47, 568/59, 314/74 is

GCF of Numerators i.e. for 188,568,314 is 2

LCM of denominators i.e. for 47,59,74 is 205202.

Thus, GCF of Fractions is 2/205202.Finally, GCF of Fractions for 188/47, 568/59, 314/74 is 2/205202.