Greatest Common Factor of 627/171, 3435/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 627/171, 3435/178

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 627/171,3435/178

Given fractions are 627/171,3435/178

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 627,3435

Greatest Common Factor of Numerators i.e. GCF of 627,3435 is 3 .

LCM of Denominators means LCM of 171,178 as per the given fractions.

LCM of 171,178 is 30438 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 627,3435

GCF of Fractions 627/171,3435/178 is 3/30438

3 627, 3435
209, 1145

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 627,3435 By Matching Biggest Common Factor Method

Greatest Common Factor of 627,3435 By Matching Biggest Common Factor Method

Factors of 627

List of positive integer factors of 627 that divides 627 without a remainder.

1,3,11,19,33,57,209,627

Factors of 3435

List of positive integer factors of 3435 that divides 3435 without a remainder.

1,3,5,15,229,687,1145,3435

Greatest Common Factor

We found the factors 627,3435 . The biggest common factor number is the GCF number.
So the greatest common factor 627,3435 is 3.

Lets's calculate LCM of 171,178

Given numbers has no common factors except 1. So, there LCM is their product i.e 30438

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/30438

Therefore, the GCF of Fractions 627/171,3435/178 is 3/30438

Least Common Multiple of 171,178 with GCF Formula

Least Common Multiple of 171,178 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 171,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(171,178) = 1

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

GCF(171,178) x common factors =1 x 1 = 1

LCM(171,178) = ( 171 × 178 ) / 1

LCM(171,178) = 30438 / 1

LCM(171,178) = 30438


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 627/171, 3435/178

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 627/171, 3435/178?

Answer: GCF of Numerators as per given numbers 627/171, 3435/178 is

GCF of Numerators i.e. for 627,3435 is 3

LCM of denominators i.e. for 171,178 is 30438.

Thus, GCF of Fractions is 3/30438.Finally, GCF of Fractions for 627/171, 3435/178 is 3/30438.