Greatest Common Factor of 946/840, 2013/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 946/840, 2013/923

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 946/840,2013/923

Given fractions are 946/840,2013/923

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 946,2013

Greatest Common Factor of Numerators i.e. GCF of 946,2013 is 11 .

LCM of Denominators means LCM of 840,923 as per the given fractions.

LCM of 840,923 is 775320 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 946,2013

GCF of Fractions 946/840,2013/923 is 11/775320

11 946, 2013
86, 183

∴ So the GCF of the given numbers is 11 = 11

Greatest Common Factor of 946,2013 By Matching Biggest Common Factor Method

Greatest Common Factor of 946,2013 By Matching Biggest Common Factor Method

Factors of 946

List of positive integer factors of 946 that divides 946 without a remainder.

1,2,11,22,43,86,473,946

Factors of 2013

List of positive integer factors of 2013 that divides 2013 without a remainder.

1,3,11,33,61,183,671,2013

Greatest Common Factor

We found the factors 946,2013 . The biggest common factor number is the GCF number.
So the greatest common factor 946,2013 is 11.

Lets's calculate LCM of 840,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 775320

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/775320

Therefore, the GCF of Fractions 946/840,2013/923 is 11/775320

Least Common Multiple of 840,923 with GCF Formula

Least Common Multiple of 840,923 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 840,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(840,923) = 1

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

GCF(840,923) x common factors =1 x 1 = 1

LCM(840,923) = ( 840 × 923 ) / 1

LCM(840,923) = 775320 / 1

LCM(840,923) = 775320


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 946/840, 2013/923

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 946/840, 2013/923?

Answer: GCF of Numerators as per given numbers 946/840, 2013/923 is

GCF of Numerators i.e. for 946,2013 is 11

LCM of denominators i.e. for 840,923 is 775320.

Thus, GCF of Fractions is 11/775320.Finally, GCF of Fractions for 946/840, 2013/923 is 11/775320.