Greatest Common Factor of 229/87, 496/812

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 229/87, 496/812

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 229/87,496/812

Given fractions are 229/87,496/812

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 229,496

Greatest Common Factor of Numerators i.e. GCF of 229,496 is 1 .

LCM of Denominators means LCM of 87,812 as per the given fractions.

LCM of 87,812 is 2436 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 229,496

GCF of Fractions 229/87,496/812 is 1/2436

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

Greatest Common Factor of 229,496 By Matching Biggest Common Factor Method

Greatest Common Factor of 229,496 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 496

List of positive integer factors of 496 that divides 496 without a remainder.

1,2,4,8,16,31,62,124,248,496

Greatest Common Factor

We found the factors 229,496 . The biggest common factor number is the GCF number.
So the greatest common factor 229,496 is 1.

Lets's calculate LCM of 87,812

29 87, 812
3, 28

∴ So the LCM of the given numbers is 29 x 3 x 28 = 2436

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2436

Therefore, the GCF of Fractions 229/87,496/812 is 1/2436

Least Common Multiple of 87,812 with GCF Formula

Least Common Multiple of 87,812 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 87,812 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(87,812) = 29

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

GCF(87,812) x common factors =29 x 1 = 29

LCM(87,812) = ( 87 × 812 ) / 29

LCM(87,812) = 70644 / 29

LCM(87,812) = 2436


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 229/87, 496/812

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 229/87, 496/812?

Answer: GCF of Numerators as per given numbers 229/87, 496/812 is

GCF of Numerators i.e. for 229,496 is 1

LCM of denominators i.e. for 87,812 is 2436.

Thus, GCF of Fractions is 1/2436.Finally, GCF of Fractions for 229/87, 496/812 is 1/2436.