Greatest Common Factor of 954/873, 144/838

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 954/873, 144/838

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 954/873,144/838

Given fractions are 954/873,144/838

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 954,144

Greatest Common Factor of Numerators i.e. GCF of 954,144 is 18 .

LCM of Denominators means LCM of 873,838 as per the given fractions.

LCM of 873,838 is 731574 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 954,144

GCF of Fractions 954/873,144/838 is 18/731574

2 954, 144
3 477, 72
3 159, 24
53, 8

∴ So the GCF of the given numbers is 2 x 3 x 3 = 18

Greatest Common Factor of 954,144 By Matching Biggest Common Factor Method

Greatest Common Factor of 954,144 By Matching Biggest Common Factor Method

Factors of 954

List of positive integer factors of 954 that divides 954 without a remainder.

1,2,3,6,9,18,53,106,159,318,477,954

Factors of 144

List of positive integer factors of 144 that divides 144 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,36,48,72,144

Greatest Common Factor

We found the factors 954,144 . The biggest common factor number is the GCF number.
So the greatest common factor 954,144 is 18.

Lets's calculate LCM of 873,838

Given numbers has no common factors except 1. So, there LCM is their product i.e 731574

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/731574

Therefore, the GCF of Fractions 954/873,144/838 is 18/731574

Least Common Multiple of 873,838 with GCF Formula

Least Common Multiple of 873,838 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 873,838 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(873,838) = 1

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

GCF(873,838) x common factors =1 x 1 = 1

LCM(873,838) = ( 873 × 838 ) / 1

LCM(873,838) = 731574 / 1

LCM(873,838) = 731574


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 954/873, 144/838

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 954/873, 144/838?

Answer: GCF of Numerators as per given numbers 954/873, 144/838 is

GCF of Numerators i.e. for 954,144 is 18

LCM of denominators i.e. for 873,838 is 731574.

Thus, GCF of Fractions is 18/731574.Finally, GCF of Fractions for 954/873, 144/838 is 18/731574.