Greatest Common Factor of 28/452, 611/462, 222/476

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/452, 611/462, 222/476

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 28/452,611/462,222/476

Given fractions are 28/452,611/462,222/476

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 28,611,222

Greatest Common Factor of Numerators i.e. GCF of 28,611,222 is 1 .

LCM of Denominators means LCM of 452,462,476 as per the given fractions.

LCM of 452,462,476 is 1775004 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,611,222

GCF of Fractions 28/452,611/462,222/476 is 1/1775004

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

Greatest Common Factor of 28,611,222 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,611,222 By Matching Biggest Common Factor Method

Factors of 28

List of positive integer factors of 28 that divides 28 without a remainder.

1,2,4,7,14,28

Factors of 611

List of positive integer factors of 611 that divides 611 without a remainder.

1,13,47,611

Factors of 222

List of positive integer factors of 222 that divides 222 without a remainder.

1,2,3,6,37,74,111,222

Greatest Common Factor

We found the factors 28,611,222 . The biggest common factor number is the GCF number.
So the greatest common factor 28,611,222 is 1.

Lets's calculate LCM of 452,462,476

2 452, 462, 476
2 226, 231, 238
7 113, 231, 119
113, 33, 17

∴ So the LCM of the given numbers is 2 x 2 x 7 x 113 x 33 x 17 = 1775004

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1775004

Therefore, the GCF of Fractions 28/452,611/462,222/476 is 1/1775004

Least Common Multiple of 452,462,476 with GCF Formula

Least Common Multiple of 452,462,476 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 452,462,476 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(452,462,476) = 2

common factors(in case of two or more numbers have common factors) = 28

GCF(452,462,476) x common factors =2 x 28 = 56

LCM(452,462,476) = ( 452 × 462 × 476 ) / 56

LCM(452,462,476) = 99400224 / 56

LCM(452,462,476) = 1775004


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 28/452, 611/462, 222/476

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 28/452, 611/462, 222/476?

Answer: GCF of Numerators as per given numbers 28/452, 611/462, 222/476 is

GCF of Numerators i.e. for 28,611,222 is 1

LCM of denominators i.e. for 452,462,476 is 1775004.

Thus, GCF of Fractions is 1/1775004.Finally, GCF of Fractions for 28/452, 611/462, 222/476 is 1/1775004.