Greatest Common Factor of 4189/170, 6727/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4189/170, 6727/548

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 4189/170,6727/548

Given fractions are 4189/170,6727/548

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 4189,6727

Greatest Common Factor of Numerators i.e. GCF of 4189,6727 is 1 .

LCM of Denominators means LCM of 170,548 as per the given fractions.

LCM of 170,548 is 46580 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4189,6727

GCF of Fractions 4189/170,6727/548 is 1/46580

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

Greatest Common Factor of 4189,6727 By Matching Biggest Common Factor Method

Greatest Common Factor of 4189,6727 By Matching Biggest Common Factor Method

Factors of 4189

List of positive integer factors of 4189 that divides 4189 without a remainder.

1,59,71,4189

Factors of 6727

List of positive integer factors of 6727 that divides 6727 without a remainder.

1,7,31,217,961,6727

Greatest Common Factor

We found the factors 4189,6727 . The biggest common factor number is the GCF number.
So the greatest common factor 4189,6727 is 1.

Lets's calculate LCM of 170,548

2 170, 548
85, 274

∴ So the LCM of the given numbers is 2 x 85 x 274 = 46580

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/46580

Therefore, the GCF of Fractions 4189/170,6727/548 is 1/46580

Least Common Multiple of 170,548 with GCF Formula

Least Common Multiple of 170,548 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 170,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(170,548) = 2

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

GCF(170,548) x common factors =2 x 1 = 2

LCM(170,548) = ( 170 × 548 ) / 2

LCM(170,548) = 93160 / 2

LCM(170,548) = 46580


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 4189/170, 6727/548

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 4189/170, 6727/548?

Answer: GCF of Numerators as per given numbers 4189/170, 6727/548 is

GCF of Numerators i.e. for 4189,6727 is 1

LCM of denominators i.e. for 170,548 is 46580.

Thus, GCF of Fractions is 1/46580.Finally, GCF of Fractions for 4189/170, 6727/548 is 1/46580.