Greatest Common Factor of 55/58, 34/38, 99/45, 21/906

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/58, 34/38, 99/45, 21/906

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 55/58,34/38,99/45,21/906

Given fractions are 55/58,34/38,99/45,21/906

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 55,34,99,21

Greatest Common Factor of Numerators i.e. GCF of 55,34,99,21 is 1 .

LCM of Denominators means LCM of 58,38,45,906 as per the given fractions.

LCM of 58,38,45,906 is 7488090 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,34,99,21

GCF of Fractions 55/58,34/38,99/45,21/906 is 1/7488090

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

Greatest Common Factor of 55,34,99,21 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,34,99,21 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 34

List of positive integer factors of 34 that divides 34 without a remainder.

1,2,17,34

Factors of 99

List of positive integer factors of 99 that divides 99 without a remainder.

1,3,9,11,33,99

Factors of 21

List of positive integer factors of 21 that divides 21 without a remainder.

1,3,7,21

Greatest Common Factor

We found the factors 55,34,99,21 . The biggest common factor number is the GCF number.
So the greatest common factor 55,34,99,21 is 1.

Lets's calculate LCM of 58,38,45,906

2 58, 38, 45, 906
3 29, 19, 45, 453
29, 19, 15, 151

∴ So the LCM of the given numbers is 2 x 3 x 29 x 19 x 15 x 151 = 7488090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7488090

Therefore, the GCF of Fractions 55/58,34/38,99/45,21/906 is 1/7488090

Least Common Multiple of 58,38,45,906 with GCF Formula

Least Common Multiple of 58,38,45,906 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 58,38,45,906 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(58,38,45,906) = 1

common factors(in case of two or more numbers have common factors) = 12

GCF(58,38,45,906) x common factors =1 x 12 = 12

LCM(58,38,45,906) = ( 58 × 38 × 45 × 906 ) / 12

LCM(58,38,45,906) = 89857080 / 12

LCM(58,38,45,906) = 7488090


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 55/58, 34/38, 99/45, 21/906

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 55/58, 34/38, 99/45, 21/906?

Answer: GCF of Numerators as per given numbers 55/58, 34/38, 99/45, 21/906 is

GCF of Numerators i.e. for 55,34,99,21 is 1

LCM of denominators i.e. for 58,38,45,906 is 7488090.

Thus, GCF of Fractions is 1/7488090.Finally, GCF of Fractions for 55/58, 34/38, 99/45, 21/906 is 1/7488090.