Greatest Common Factor of 617/189, 314/190

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 617/189, 314/190

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 617/189,314/190

Given fractions are 617/189,314/190

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 617,314

Greatest Common Factor of Numerators i.e. GCF of 617,314 is 1 .

LCM of Denominators means LCM of 189,190 as per the given fractions.

LCM of 189,190 is 35910 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 617,314

GCF of Fractions 617/189,314/190 is 1/35910

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 617,314 By Matching Biggest Common Factor Method

Greatest Common Factor of 617,314 By Matching Biggest Common Factor Method

Factors of 617

List of positive integer factors of 617 that divides 617 without a remainder.

1,617

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 617,314 . The biggest common factor number is the GCF number.
So the greatest common factor 617,314 is 1.

Lets's calculate LCM of 189,190

Given numbers has no common factors except 1. So, there LCM is their product i.e 35910

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/35910

Therefore, the GCF of Fractions 617/189,314/190 is 1/35910

Least Common Multiple of 189,190 with GCF Formula

Least Common Multiple of 189,190 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 189,190 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(189,190) = 1

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

GCF(189,190) x common factors =1 x 1 = 1

LCM(189,190) = ( 189 × 190 ) / 1

LCM(189,190) = 35910 / 1

LCM(189,190) = 35910


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 617/189, 314/190

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 617/189, 314/190?

Answer: GCF of Numerators as per given numbers 617/189, 314/190 is

GCF of Numerators i.e. for 617,314 is 1

LCM of denominators i.e. for 189,190 is 35910.

Thus, GCF of Fractions is 1/35910.Finally, GCF of Fractions for 617/189, 314/190 is 1/35910.