Greatest Common Factor of 1738/817, 8995/842

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1738/817, 8995/842

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 1738/817,8995/842

Given fractions are 1738/817,8995/842

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 1738,8995

Greatest Common Factor of Numerators i.e. GCF of 1738,8995 is 1 .

LCM of Denominators means LCM of 817,842 as per the given fractions.

LCM of 817,842 is 687914 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1738,8995

GCF of Fractions 1738/817,8995/842 is 1/687914

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

Greatest Common Factor of 1738,8995 By Matching Biggest Common Factor Method

Greatest Common Factor of 1738,8995 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 8995

List of positive integer factors of 8995 that divides 8995 without a remainder.

1,5,7,35,257,1285,1799,8995

Greatest Common Factor

We found the factors 1738,8995 . The biggest common factor number is the GCF number.
So the greatest common factor 1738,8995 is 1.

Lets's calculate LCM of 817,842

Given numbers has no common factors except 1. So, there LCM is their product i.e 687914

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/687914

Therefore, the GCF of Fractions 1738/817,8995/842 is 1/687914

Least Common Multiple of 817,842 with GCF Formula

Least Common Multiple of 817,842 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 817,842 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(817,842) = 1

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

GCF(817,842) x common factors =1 x 1 = 1

LCM(817,842) = ( 817 × 842 ) / 1

LCM(817,842) = 687914 / 1

LCM(817,842) = 687914


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 1738/817, 8995/842

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 1738/817, 8995/842?

Answer: GCF of Numerators as per given numbers 1738/817, 8995/842 is

GCF of Numerators i.e. for 1738,8995 is 1

LCM of denominators i.e. for 817,842 is 687914.

Thus, GCF of Fractions is 1/687914.Finally, GCF of Fractions for 1738/817, 8995/842 is 1/687914.