Greatest Common Factor of 229/525, 836/793

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 229/525, 836/793

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 229/525,836/793

Given fractions are 229/525,836/793

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 229,836

Greatest Common Factor of Numerators i.e. GCF of 229,836 is 1 .

LCM of Denominators means LCM of 525,793 as per the given fractions.

LCM of 525,793 is 416325 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 229,836

GCF of Fractions 229/525,836/793 is 1/416325

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

Greatest Common Factor of 229,836 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,836 By Matching Biggest Common Factor Method

Factors of 229

List of positive integer factors of 229 that divides 229 without a remainder.

1,229

Factors of 836

List of positive integer factors of 836 that divides 836 without a remainder.

1,2,4,11,19,22,38,44,76,209,418,836

Greatest Common Factor

We found the factors 229,836 . The biggest common factor number is the GCF number.
So the greatest common factor 229,836 is 1.


Lets's calculate LCM of 525,793

Given numbers has no common factors except 1. So, there LCM is their product i.e 416325

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/416325

Therefore, the GCF of Fractions 229/525,836/793 is 1/416325

Least Common Multiple of 525,793 with GCF Formula

Least Common Multiple of 525,793 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 525,793 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(525,793) = 1

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

GCF(525,793) x common factors =1 x 1 = 1

LCM(525,793) = ( 525 × 793 ) / 1

LCM(525,793) = 416325 / 1

LCM(525,793) = 416325


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 229/525, 836/793

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 229/525, 836/793?

Answer: GCF of Numerators as per given numbers 229/525, 836/793 is

GCF of Numerators i.e. for 229,836 is 1

LCM of denominators i.e. for 525,793 is 416325.

Thus, GCF of Fractions is 1/416325.Finally, GCF of Fractions for 229/525, 836/793 is 1/416325.