GCD of 413, 357, 398, 733 Calculator

Given Input numbers are 413, 357, 398, 733

In the factoring method, we have to find the divisors of all numbers

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 733 :

The positive integer divisors of 733 that completely divides 733 are.

1, 733

GCD of numbers is the greatest common divisor

So, the GCD (413, 357, 398, 733) = 1.

Given numbers are 413, 357, 398, 733

The list of prime factors of all numbers are

Prime factors of 413 are 7 x 59

Prime factors of 357 are 3 x 7 x 17

Prime factors of 398 are 2 x 199

Prime factors of 733 are 733

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

Given numbers are 413, 357, 398, 733

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(413, 357) = 21063

GCD(413, 357) = ( 413 x 357 ) / 21063

= 413 / 357

= 413

Step2:

LCM(7, 398) = 2786

GCD(7, 398) = ( 7 x 398 ) / 2786

= 7 / 398

= 7

Step3:

LCM(1, 733) = 733

GCD(1, 733) = ( 1 x 733 ) / 733

= 1 / 733

= 1

So, Greatest Common Divisor of 413, 357, 398, 733 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 737, 732, 983, 954
• GCD of 141, 336, 424, 688
• GCD of 302, 941, 805, 890
• GCD of 735, 330, 817, 590
• GCD of 996, 157, 105, 334

Given numbers are 413, 357, 398, 733
The greatest common divisor of numbers 413, 357, 398, 733 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 413, 357, 398, 733 is 1.

1. What is the GCD of 413, 357, 398, 733?

GCD of given numbers 413, 357, 398, 733 is 1

2. How to calculate the greatest common divisor of 413, 357, 398, 733?

We can find the highest common divisor of 413, 357, 398, 733 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 413, 357, 398, 733 i.e 1.

3. How can I use the GCD of 413, 357, 398, 733Calculator?

Out the numbers 413, 357, 398, 733 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.