Greatest Common Factor of 55/222, 605/738, 514/938

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/222, 605/738, 514/938

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 55/222,605/738,514/938

Given fractions are 55/222,605/738,514/938

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 55,605,514

Greatest Common Factor of Numerators i.e. GCF of 55,605,514 is 1 .

LCM of Denominators means LCM of 222,738,938 as per the given fractions.

LCM of 222,738,938 is 12806514 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,605,514

GCF of Fractions 55/222,605/738,514/938 is 1/12806514

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

Greatest Common Factor of 55,605,514 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,605,514 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 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Factors of 514

List of positive integer factors of 514 that divides 514 without a remainder.

1,2,257,514

Greatest Common Factor

We found the factors 55,605,514 . The biggest common factor number is the GCF number.
So the greatest common factor 55,605,514 is 1.

Lets's calculate LCM of 222,738,938

2 222, 738, 938
3 111, 369, 469
37, 123, 469

∴ So the LCM of the given numbers is 2 x 3 x 37 x 123 x 469 = 12806514

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/12806514

Therefore, the GCF of Fractions 55/222,605/738,514/938 is 1/12806514

Least Common Multiple of 222,738,938 with GCF Formula

Least Common Multiple of 222,738,938 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 222,738,938 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(222,738,938) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(222,738,938) x common factors =2 x 6 = 12

LCM(222,738,938) = ( 222 × 738 × 938 ) / 12

LCM(222,738,938) = 153678168 / 12

LCM(222,738,938) = 12806514


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 55/222, 605/738, 514/938

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 55/222, 605/738, 514/938?

Answer: GCF of Numerators as per given numbers 55/222, 605/738, 514/938 is

GCF of Numerators i.e. for 55,605,514 is 1

LCM of denominators i.e. for 222,738,938 is 12806514.

Thus, GCF of Fractions is 1/12806514.Finally, GCF of Fractions for 55/222, 605/738, 514/938 is 1/12806514.