Greatest Common Factor of 554/27, 692/406

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 554/27, 692/406

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 554/27,692/406

Given fractions are 554/27,692/406

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 554,692

Greatest Common Factor of Numerators i.e. GCF of 554,692 is 2 .

LCM of Denominators means LCM of 27,406 as per the given fractions.

LCM of 27,406 is 10962 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 554,692

GCF of Fractions 554/27,692/406 is 2/10962

2 554, 692
277, 346

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

Greatest Common Factor of 554,692 By Matching Biggest Common Factor Method

Greatest Common Factor of 554,692 By Matching Biggest Common Factor Method

Factors of 554

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

1,2,277,554

Factors of 692

List of positive integer factors of 692 that divides 692 without a remainder.

1,2,4,173,346,692

Greatest Common Factor

We found the factors 554,692 . The biggest common factor number is the GCF number.
So the greatest common factor 554,692 is 2.

Lets's calculate LCM of 27,406

Given numbers has no common factors except 1. So, there LCM is their product i.e 10962

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/10962

Therefore, the GCF of Fractions 554/27,692/406 is 2/10962

Least Common Multiple of 27,406 with GCF Formula

Least Common Multiple of 27,406 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 27,406 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(27,406) = 1

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

GCF(27,406) x common factors =1 x 1 = 1

LCM(27,406) = ( 27 × 406 ) / 1

LCM(27,406) = 10962 / 1

LCM(27,406) = 10962


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 554/27, 692/406

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 554/27, 692/406?

Answer: GCF of Numerators as per given numbers 554/27, 692/406 is

GCF of Numerators i.e. for 554,692 is 2

LCM of denominators i.e. for 27,406 is 10962.

Thus, GCF of Fractions is 2/10962.Finally, GCF of Fractions for 554/27, 692/406 is 2/10962.