Greatest Common Factor of 22/27, 30/25, 554/908

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/27, 30/25, 554/908

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 22/27,30/25,554/908

Given fractions are 22/27,30/25,554/908

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 22,30,554

Greatest Common Factor of Numerators i.e. GCF of 22,30,554 is 2 .

LCM of Denominators means LCM of 27,25,908 as per the given fractions.

LCM of 27,25,908 is 612900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,30,554

GCF of Fractions 22/27,30/25,554/908 is 2/612900

2 22, 30, 554
11, 15, 277

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

Greatest Common Factor of 22,30,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,30,554 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 30

List of positive integer factors of 30 that divides 30 without a remainder.

1,2,3,5,6,10,15,30

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 22,30,554 . The biggest common factor number is the GCF number.
So the greatest common factor 22,30,554 is 2.

Lets's calculate LCM of 27,25,908

Given numbers has no common factors except 1. So, there LCM is their product i.e 612900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/612900

Therefore, the GCF of Fractions 22/27,30/25,554/908 is 2/612900

Least Common Multiple of 27,25,908 with GCF Formula

Least Common Multiple of 27,25,908 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 27,25,908 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,25,908) = 1

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

GCF(27,25,908) x common factors =1 x 1 = 1

LCM(27,25,908) = ( 27 × 25 × 908 ) / 1

LCM(27,25,908) = 612900 / 1

LCM(27,25,908) = 612900


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 22/27, 30/25, 554/908

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 22/27, 30/25, 554/908?

Answer: GCF of Numerators as per given numbers 22/27, 30/25, 554/908 is

GCF of Numerators i.e. for 22,30,554 is 2

LCM of denominators i.e. for 27,25,908 is 612900.

Thus, GCF of Fractions is 2/612900.Finally, GCF of Fractions for 22/27, 30/25, 554/908 is 2/612900.