Greatest Common Factor of 823/149, 284/473, 300/523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 823/149, 284/473, 300/523

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 823/149,284/473,300/523

Given fractions are 823/149,284/473,300/523

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 823,284,300

Greatest Common Factor of Numerators i.e. GCF of 823,284,300 is 1 .

LCM of Denominators means LCM of 149,473,523 as per the given fractions.

LCM of 149,473,523 is 36859471 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 823,284,300

GCF of Fractions 823/149,284/473,300/523 is 1/36859471

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

Greatest Common Factor of 823,284,300 By Matching Biggest Common Factor Method

Greatest Common Factor of 823,284,300 By Matching Biggest Common Factor Method

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Factors of 284

List of positive integer factors of 284 that divides 284 without a remainder.

1,2,4,71,142,284

Factors of 300

List of positive integer factors of 300 that divides 300 without a remainder.

1,2,3,4,5,6,10,12,15,20,25,30,50,60,75,100,150,300

Greatest Common Factor

We found the factors 823,284,300 . The biggest common factor number is the GCF number.
So the greatest common factor 823,284,300 is 1.

Lets's calculate LCM of 149,473,523

Given numbers has no common factors except 1. So, there LCM is their product i.e 36859471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36859471

Therefore, the GCF of Fractions 823/149,284/473,300/523 is 1/36859471

Least Common Multiple of 149,473,523 with GCF Formula

Least Common Multiple of 149,473,523 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 149,473,523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(149,473,523) = 1

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

GCF(149,473,523) x common factors =1 x 1 = 1

LCM(149,473,523) = ( 149 × 473 × 523 ) / 1

LCM(149,473,523) = 36859471 / 1

LCM(149,473,523) = 36859471


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 823/149, 284/473, 300/523

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 823/149, 284/473, 300/523?

Answer: GCF of Numerators as per given numbers 823/149, 284/473, 300/523 is

GCF of Numerators i.e. for 823,284,300 is 1

LCM of denominators i.e. for 149,473,523 is 36859471.

Thus, GCF of Fractions is 1/36859471.Finally, GCF of Fractions for 823/149, 284/473, 300/523 is 1/36859471.