Greatest Common Factor of 555/74, 401/78, 727/314

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 555/74, 401/78, 727/314

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 555/74,401/78,727/314

Given fractions are 555/74,401/78,727/314

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 555,401,727

Greatest Common Factor of Numerators i.e. GCF of 555,401,727 is 1 .

LCM of Denominators means LCM of 74,78,314 as per the given fractions.

LCM of 74,78,314 is 453102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 555,401,727

GCF of Fractions 555/74,401/78,727/314 is 1/453102

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

Greatest Common Factor of 555,401,727 By Matching Biggest Common Factor Method

Greatest Common Factor of 555,401,727 By Matching Biggest Common Factor Method

Factors of 555

List of positive integer factors of 555 that divides 555 without a remainder.

1,3,5,15,37,111,185,555

Factors of 401

List of positive integer factors of 401 that divides 401 without a remainder.

1,401

Factors of 727

List of positive integer factors of 727 that divides 727 without a remainder.

1,727

Greatest Common Factor

We found the factors 555,401,727 . The biggest common factor number is the GCF number.
So the greatest common factor 555,401,727 is 1.

Lets's calculate LCM of 74,78,314

2 74, 78, 314
37, 39, 157

∴ So the LCM of the given numbers is 2 x 37 x 39 x 157 = 453102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/453102

Therefore, the GCF of Fractions 555/74,401/78,727/314 is 1/453102

Least Common Multiple of 74,78,314 with GCF Formula

Least Common Multiple of 74,78,314 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 74,78,314 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(74,78,314) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(74,78,314) x common factors =2 x 2 = 4

LCM(74,78,314) = ( 74 × 78 × 314 ) / 4

LCM(74,78,314) = 1812408 / 4

LCM(74,78,314) = 453102


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 555/74, 401/78, 727/314

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 555/74, 401/78, 727/314?

Answer: GCF of Numerators as per given numbers 555/74, 401/78, 727/314 is

GCF of Numerators i.e. for 555,401,727 is 1

LCM of denominators i.e. for 74,78,314 is 453102.

Thus, GCF of Fractions is 1/453102.Finally, GCF of Fractions for 555/74, 401/78, 727/314 is 1/453102.