GCD of 402, 726, 52, 919 Calculator

Given Input numbers are 402, 726, 52, 919

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 402

List of positive integer divisors of 402 that divides 402 without a remainder.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 726

List of positive integer divisors of 726 that divides 726 without a remainder.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 52

List of positive integer divisors of 52 that divides 52 without a remainder.

1, 2, 4, 13, 26, 52

Divisors of 919

List of positive integer divisors of 919 that divides 919 without a remainder.

1, 919

Greatest Common Divisior

We found the divisors of 402, 726, 52, 919 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 726, 52, 919 is 1.

Therefore, GCD of numbers 402, 726, 52, 919 is 1

Given Input Data is 402, 726, 52, 919

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 402 is 2 x 3 x 67

Prime Factorization of 726 is 2 x 3 x 11 x 11

Prime Factorization of 52 is 2 x 2 x 13

Prime Factorization of 919 is 919

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(402, 726) = 48642

GCD(402, 726) = ( 402 x 726 ) / 48642

GCD(402, 726) = 291852 / 48642

GCD(402, 726) = 6

Step2:

Here we consider the GCD from the above i.e. 6 as first number and the next as 52

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(6, 52) = 156

GCD(6, 52) = ( 6 x 52 ) / 156

GCD(6, 52) = 312 / 156

GCD(6, 52) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 919

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(2, 919) = 1838

GCD(2, 919) = ( 2 x 919 ) / 1838

GCD(2, 919) = 1838 / 1838

GCD(2, 919) = 1

GCD of 402, 726, 52, 919 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 138, 595, 82, 856
• GCD of 345, 498, 24, 662
• GCD of 780, 977, 26, 596
• GCD of 406, 315, 30, 238
• GCD of 228, 769, 37, 675

1. What is the GCD of 402, 726, 52, 919?

GCD of 402, 726, 52, 919 is 1

2. Where do I get the detailed procedure to find GCD of 402, 726, 52, 919?

You can find a detailed procedure to find GCD of 402, 726, 52, 919 on our page.

3. How to find GCD of 402, 726, 52, 919 on a calculator?

You can find the GCD of 402, 726, 52, 919 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.