Greatest Common Factor of 223/649, 612/388, 137/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 223/649, 612/388, 137/476

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 223/649,612/388,137/476

Given fractions are 223/649,612/388,137/476

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 223,612,137

Greatest Common Factor of Numerators i.e. GCF of 223,612,137 is 1 .

LCM of Denominators means LCM of 649,388,476 as per the given fractions.

LCM of 649,388,476 is 29965628 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 223,612,137

GCF of Fractions 223/649,612/388,137/476 is 1/29965628

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

Greatest Common Factor of 223,612,137 By Matching Biggest Common Factor Method

Greatest Common Factor of 223,612,137 By Matching Biggest Common Factor Method

Factors of 223

List of positive integer factors of 223 that divides 223 without a remainder.

1,223

Factors of 612

List of positive integer factors of 612 that divides 612 without a remainder.

1,2,3,4,6,9,12,17,18,34,36,51,68,102,153,204,306,612

Factors of 137

List of positive integer factors of 137 that divides 137 without a remainder.

1,137

Greatest Common Factor

We found the factors 223,612,137 . The biggest common factor number is the GCF number.
So the greatest common factor 223,612,137 is 1.

Lets's calculate LCM of 649,388,476

2 649, 388, 476
2 649, 194, 238
649, 97, 119

∴ So the LCM of the given numbers is 2 x 2 x 649 x 97 x 119 = 29965628

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/29965628

Therefore, the GCF of Fractions 223/649,612/388,137/476 is 1/29965628

Least Common Multiple of 649,388,476 with GCF Formula

Least Common Multiple of 649,388,476 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 649,388,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(649,388,476) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(649,388,476) x common factors =1 x 4 = 4

LCM(649,388,476) = ( 649 × 388 × 476 ) / 4

LCM(649,388,476) = 119862512 / 4

LCM(649,388,476) = 29965628


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 223/649, 612/388, 137/476

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 223/649, 612/388, 137/476?

Answer: GCF of Numerators as per given numbers 223/649, 612/388, 137/476 is

GCF of Numerators i.e. for 223,612,137 is 1

LCM of denominators i.e. for 649,388,476 is 29965628.

Thus, GCF of Fractions is 1/29965628.Finally, GCF of Fractions for 223/649, 612/388, 137/476 is 1/29965628.