Greatest Common Factor of 816/274, 289/499, 411/405

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 816/274, 289/499, 411/405

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 816/274,289/499,411/405

Given fractions are 816/274,289/499,411/405

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 816,289,411

Greatest Common Factor of Numerators i.e. GCF of 816,289,411 is 1 .

LCM of Denominators means LCM of 274,499,405 as per the given fractions.

LCM of 274,499,405 is 55374030 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 816,289,411

GCF of Fractions 816/274,289/499,411/405 is 1/55374030

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

Greatest Common Factor of 816,289,411 By Matching Biggest Common Factor Method

Greatest Common Factor of 816,289,411 By Matching Biggest Common Factor Method

Factors of 816

List of positive integer factors of 816 that divides 816 without a remainder.

1,2,3,4,6,8,12,16,17,24,34,48,51,68,102,136,204,272,408,816

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Greatest Common Factor

We found the factors 816,289,411 . The biggest common factor number is the GCF number.
So the greatest common factor 816,289,411 is 1.

Lets's calculate LCM of 274,499,405

Given numbers has no common factors except 1. So, there LCM is their product i.e 55374030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/55374030

Therefore, the GCF of Fractions 816/274,289/499,411/405 is 1/55374030

Least Common Multiple of 274,499,405 with GCF Formula

Least Common Multiple of 274,499,405 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 274,499,405 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,499,405) = 1

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

GCF(274,499,405) x common factors =1 x 1 = 1

LCM(274,499,405) = ( 274 × 499 × 405 ) / 1

LCM(274,499,405) = 55374030 / 1

LCM(274,499,405) = 55374030


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 816/274, 289/499, 411/405

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 816/274, 289/499, 411/405?

Answer: GCF of Numerators as per given numbers 816/274, 289/499, 411/405 is

GCF of Numerators i.e. for 816,289,411 is 1

LCM of denominators i.e. for 274,499,405 is 55374030.

Thus, GCF of Fractions is 1/55374030.Finally, GCF of Fractions for 816/274, 289/499, 411/405 is 1/55374030.