Greatest Common Factor of 1738/829, 8941/2865

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1738/829, 8941/2865

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 1738/829,8941/2865

Given fractions are 1738/829,8941/2865

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 1738,8941

Greatest Common Factor of Numerators i.e. GCF of 1738,8941 is 1 .

LCM of Denominators means LCM of 829,2865 as per the given fractions.

LCM of 829,2865 is 2375085 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1738,8941

GCF of Fractions 1738/829,8941/2865 is 1/2375085

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

Greatest Common Factor of 1738,8941 By Matching Biggest Common Factor Method

Greatest Common Factor of 1738,8941 By Matching Biggest Common Factor Method

Factors of 1738

List of positive integer factors of 1738 that divides 1738 without a remainder.

1,2,11,22,79,158,869,1738

Factors of 8941

List of positive integer factors of 8941 that divides 8941 without a remainder.

1,8941

Greatest Common Factor

We found the factors 1738,8941 . The biggest common factor number is the GCF number.
So the greatest common factor 1738,8941 is 1.

Lets's calculate LCM of 829,2865

Given numbers has no common factors except 1. So, there LCM is their product i.e 2375085

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2375085

Therefore, the GCF of Fractions 1738/829,8941/2865 is 1/2375085

Least Common Multiple of 829,2865 with GCF Formula

Least Common Multiple of 829,2865 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 829,2865 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(829,2865) = 1

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

GCF(829,2865) x common factors =1 x 1 = 1

LCM(829,2865) = ( 829 × 2865 ) / 1

LCM(829,2865) = 2375085 / 1

LCM(829,2865) = 2375085


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 1738/829, 8941/2865

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 1738/829, 8941/2865?

Answer: GCF of Numerators as per given numbers 1738/829, 8941/2865 is

GCF of Numerators i.e. for 1738,8941 is 1

LCM of denominators i.e. for 829,2865 is 2375085.

Thus, GCF of Fractions is 1/2375085.Finally, GCF of Fractions for 1738/829, 8941/2865 is 1/2375085.