Greatest Common Factor of 1727/42, 9797/831

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1727/42, 9797/831

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 1727/42,9797/831

Given fractions are 1727/42,9797/831

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 1727,9797

Greatest Common Factor of Numerators i.e. GCF of 1727,9797 is 1 .

LCM of Denominators means LCM of 42,831 as per the given fractions.

LCM of 42,831 is 11634 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1727,9797

GCF of Fractions 1727/42,9797/831 is 1/11634

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

Greatest Common Factor of 1727,9797 By Matching Biggest Common Factor Method

Greatest Common Factor of 1727,9797 By Matching Biggest Common Factor Method

Factors of 1727

List of positive integer factors of 1727 that divides 1727 without a remainder.

1,11,157,1727

Factors of 9797

List of positive integer factors of 9797 that divides 9797 without a remainder.

1,97,101,9797

Greatest Common Factor

We found the factors 1727,9797 . The biggest common factor number is the GCF number.
So the greatest common factor 1727,9797 is 1.

Lets's calculate LCM of 42,831

3 42, 831
14, 277

∴ So the LCM of the given numbers is 3 x 14 x 277 = 11634

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11634

Therefore, the GCF of Fractions 1727/42,9797/831 is 1/11634

Least Common Multiple of 42,831 with GCF Formula

Least Common Multiple of 42,831 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 42,831 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,831) = 3

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

GCF(42,831) x common factors =3 x 1 = 3

LCM(42,831) = ( 42 × 831 ) / 3

LCM(42,831) = 34902 / 3

LCM(42,831) = 11634


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 1727/42, 9797/831

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 1727/42, 9797/831?

Answer: GCF of Numerators as per given numbers 1727/42, 9797/831 is

GCF of Numerators i.e. for 1727,9797 is 1

LCM of denominators i.e. for 42,831 is 11634.

Thus, GCF of Fractions is 1/11634.Finally, GCF of Fractions for 1727/42, 9797/831 is 1/11634.