Greatest Common Factor of 28/632, 28/257, 344/211

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 28/632, 28/257, 344/211

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 28/632,28/257,344/211

Given fractions are 28/632,28/257,344/211

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 28,28,344

Greatest Common Factor of Numerators i.e. GCF of 28,28,344 is 4 .

LCM of Denominators means LCM of 632,257,211 as per the given fractions.

LCM of 632,257,211 is 34271464 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 28,28,344

GCF of Fractions 28/632,28/257,344/211 is 4/34271464

2 28, 28, 344
2 14, 14, 172
7, 7, 86

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

Greatest Common Factor of 28,28,344 By Matching Biggest Common Factor Method

Greatest Common Factor of 28,28,344 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 28

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

1,2,4,7,14,28

Factors of 344

List of positive integer factors of 344 that divides 344 without a remainder.

1,2,4,8,43,86,172,344

Greatest Common Factor

We found the factors 28,28,344 . The biggest common factor number is the GCF number.
So the greatest common factor 28,28,344 is 4.

Lets's calculate LCM of 632,257,211

Given numbers has no common factors except 1. So, there LCM is their product i.e 34271464

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/34271464

Therefore, the GCF of Fractions 28/632,28/257,344/211 is 4/34271464

Least Common Multiple of 632,257,211 with GCF Formula

Least Common Multiple of 632,257,211 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 632,257,211 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(632,257,211) = 1

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

GCF(632,257,211) x common factors =1 x 1 = 1

LCM(632,257,211) = ( 632 × 257 × 211 ) / 1

LCM(632,257,211) = 34271464 / 1

LCM(632,257,211) = 34271464


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 28/632, 28/257, 344/211

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 28/632, 28/257, 344/211?

Answer: GCF of Numerators as per given numbers 28/632, 28/257, 344/211 is

GCF of Numerators i.e. for 28,28,344 is 4

LCM of denominators i.e. for 632,257,211 is 34271464.

Thus, GCF of Fractions is 4/34271464.Finally, GCF of Fractions for 28/632, 28/257, 344/211 is 4/34271464.