Greatest Common Factor of 4147/759, 1662/187

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4147/759, 1662/187

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 4147/759,1662/187

Given fractions are 4147/759,1662/187

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 4147,1662

Greatest Common Factor of Numerators i.e. GCF of 4147,1662 is 1 .

LCM of Denominators means LCM of 759,187 as per the given fractions.

LCM of 759,187 is 12903 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4147,1662

GCF of Fractions 4147/759,1662/187 is 1/12903

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

Greatest Common Factor of 4147,1662 By Matching Biggest Common Factor Method

Greatest Common Factor of 4147,1662 By Matching Biggest Common Factor Method

Factors of 4147

List of positive integer factors of 4147 that divides 4147 without a remainder.

1,11,13,29,143,319,377,4147

Factors of 1662

List of positive integer factors of 1662 that divides 1662 without a remainder.

1,2,3,6,277,554,831,1662

Greatest Common Factor

We found the factors 4147,1662 . The biggest common factor number is the GCF number.
So the greatest common factor 4147,1662 is 1.

Lets's calculate LCM of 759,187

11 759, 187
69, 17

∴ So the LCM of the given numbers is 11 x 69 x 17 = 12903

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12903

Therefore, the GCF of Fractions 4147/759,1662/187 is 1/12903

Least Common Multiple of 759,187 with GCF Formula

Least Common Multiple of 759,187 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 759,187 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(759,187) = 11

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

GCF(759,187) x common factors =11 x 1 = 11

LCM(759,187) = ( 759 × 187 ) / 11

LCM(759,187) = 141933 / 11

LCM(759,187) = 12903


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 4147/759, 1662/187

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 4147/759, 1662/187?

Answer: GCF of Numerators as per given numbers 4147/759, 1662/187 is

GCF of Numerators i.e. for 4147,1662 is 1

LCM of denominators i.e. for 759,187 is 12903.

Thus, GCF of Fractions is 1/12903.Finally, GCF of Fractions for 4147/759, 1662/187 is 1/12903.