Greatest Common Factor of 824/545, 900/526

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 824/545, 900/526

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 824/545,900/526

Given fractions are 824/545,900/526

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 824,900

Greatest Common Factor of Numerators i.e. GCF of 824,900 is 4 .

LCM of Denominators means LCM of 545,526 as per the given fractions.

LCM of 545,526 is 286670 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 824,900

GCF of Fractions 824/545,900/526 is 4/286670

2 824, 900
2 412, 450
206, 225

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 824,900 By Matching Biggest Common Factor Method

Greatest Common Factor of 824,900 By Matching Biggest Common Factor Method

Factors of 824

List of positive integer factors of 824 that divides 824 without a remainder.

1,2,4,8,103,206,412,824

Factors of 900

List of positive integer factors of 900 that divides 900 without a remainder.

1,2,3,4,5,6,9,10,12,15,18,20,25,30,36,45,50,60,75,90,100,150,180,225,300,450,900

Greatest Common Factor

We found the factors 824,900 . The biggest common factor number is the GCF number.
So the greatest common factor 824,900 is 4.

Lets's calculate LCM of 545,526

Given numbers has no common factors except 1. So, there LCM is their product i.e 286670

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/286670

Therefore, the GCF of Fractions 824/545,900/526 is 4/286670

Least Common Multiple of 545,526 with GCF Formula

Least Common Multiple of 545,526 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 545,526 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(545,526) = 1

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

GCF(545,526) x common factors =1 x 1 = 1

LCM(545,526) = ( 545 × 526 ) / 1

LCM(545,526) = 286670 / 1

LCM(545,526) = 286670


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 824/545, 900/526

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 824/545, 900/526?

Answer: GCF of Numerators as per given numbers 824/545, 900/526 is

GCF of Numerators i.e. for 824,900 is 4

LCM of denominators i.e. for 545,526 is 286670.

Thus, GCF of Fractions is 4/286670.Finally, GCF of Fractions for 824/545, 900/526 is 4/286670.