Greatest Common Factor of 1001/831, 2949/355

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1001/831, 2949/355

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 1001/831,2949/355

Given fractions are 1001/831,2949/355

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 1001,2949

Greatest Common Factor of Numerators i.e. GCF of 1001,2949 is 1 .

LCM of Denominators means LCM of 831,355 as per the given fractions.

LCM of 831,355 is 295005 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1001,2949

GCF of Fractions 1001/831,2949/355 is 1/295005

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

Greatest Common Factor of 1001,2949 By Matching Biggest Common Factor Method

Greatest Common Factor of 1001,2949 By Matching Biggest Common Factor Method

Factors of 1001

List of positive integer factors of 1001 that divides 1001 without a remainder.

1,7,11,13,77,91,143,1001

Factors of 2949

List of positive integer factors of 2949 that divides 2949 without a remainder.

1,3,983,2949

Greatest Common Factor

We found the factors 1001,2949 . The biggest common factor number is the GCF number.
So the greatest common factor 1001,2949 is 1.

Lets's calculate LCM of 831,355

Given numbers has no common factors except 1. So, there LCM is their product i.e 295005

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/295005

Therefore, the GCF of Fractions 1001/831,2949/355 is 1/295005

Least Common Multiple of 831,355 with GCF Formula

Least Common Multiple of 831,355 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 831,355 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(831,355) = 1

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

GCF(831,355) x common factors =1 x 1 = 1

LCM(831,355) = ( 831 × 355 ) / 1

LCM(831,355) = 295005 / 1

LCM(831,355) = 295005


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 1001/831, 2949/355

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 1001/831, 2949/355?

Answer: GCF of Numerators as per given numbers 1001/831, 2949/355 is

GCF of Numerators i.e. for 1001,2949 is 1

LCM of denominators i.e. for 831,355 is 295005.

Thus, GCF of Fractions is 1/295005.Finally, GCF of Fractions for 1001/831, 2949/355 is 1/295005.