Greatest Common Factor of 801/51, 603/50, 120/923

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 801/51, 603/50, 120/923

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 801/51,603/50,120/923

Given fractions are 801/51,603/50,120/923

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 801,603,120

Greatest Common Factor of Numerators i.e. GCF of 801,603,120 is 3 .

LCM of Denominators means LCM of 51,50,923 as per the given fractions.

LCM of 51,50,923 is 2353650 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 801,603,120

GCF of Fractions 801/51,603/50,120/923 is 3/2353650

3 801, 603, 120
267, 201, 40

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 801,603,120 By Matching Biggest Common Factor Method

Greatest Common Factor of 801,603,120 By Matching Biggest Common Factor Method

Factors of 801

List of positive integer factors of 801 that divides 801 without a remainder.

1,3,9,89,267,801

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 120

List of positive integer factors of 120 that divides 120 without a remainder.

1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,120

Greatest Common Factor

We found the factors 801,603,120 . The biggest common factor number is the GCF number.
So the greatest common factor 801,603,120 is 3.

Lets's calculate LCM of 51,50,923

Given numbers has no common factors except 1. So, there LCM is their product i.e 2353650

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/2353650

Therefore, the GCF of Fractions 801/51,603/50,120/923 is 3/2353650

Least Common Multiple of 51,50,923 with GCF Formula

Least Common Multiple of 51,50,923 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 51,50,923 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(51,50,923) = 1

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

GCF(51,50,923) x common factors =1 x 1 = 1

LCM(51,50,923) = ( 51 × 50 × 923 ) / 1

LCM(51,50,923) = 2353650 / 1

LCM(51,50,923) = 2353650


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 801/51, 603/50, 120/923

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 801/51, 603/50, 120/923?

Answer: GCF of Numerators as per given numbers 801/51, 603/50, 120/923 is

GCF of Numerators i.e. for 801,603,120 is 3

LCM of denominators i.e. for 51,50,923 is 2353650.

Thus, GCF of Fractions is 3/2353650.Finally, GCF of Fractions for 801/51, 603/50, 120/923 is 3/2353650.