GCD of 407, 363, 345, 350 Calculator

Given Input numbers are 407, 363, 345, 350

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

Divisors of 407 :

The positive integer divisors of 407 that completely divides 407 are.

1, 11, 37, 407

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 350 :

The positive integer divisors of 350 that completely divides 350 are.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

GCD of numbers is the greatest common divisor

So, the GCD (407, 363, 345, 350) = 1.

Given numbers are 407, 363, 345, 350

The list of prime factors of all numbers are

Prime factors of 407 are 11 x 37

Prime factors of 363 are 3 x 11 x 11

Prime factors of 345 are 3 x 5 x 23

Prime factors of 350 are 2 x 5 x 5 x 7

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

Given numbers are 407, 363, 345, 350

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

Apply this formula for all numbers.

Step1:

LCM(407, 363) = 13431

GCD(407, 363) = ( 407 x 363 ) / 13431

= 407 / 363

= 407

Step2:

LCM(11, 345) = 3795

GCD(11, 345) = ( 11 x 345 ) / 3795

= 11 / 345

= 11

Step3:

LCM(1, 350) = 350

GCD(1, 350) = ( 1 x 350 ) / 350

= 1 / 350

= 1

So, Greatest Common Divisor of 407, 363, 345, 350 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 260, 660, 262, 839
• GCD of 365, 416, 385, 170
• GCD of 683, 848, 471, 978
• GCD of 736, 256, 909, 985
• GCD of 377, 405, 807, 619

Given numbers are 407, 363, 345, 350
The greatest common divisor of numbers 407, 363, 345, 350 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 407, 363, 345, 350 is 1.

1. What is the GCD of 407, 363, 345, 350?

GCD of given numbers 407, 363, 345, 350 is 1

2. How to calculate the greatest common divisor of 407, 363, 345, 350?

We can find the highest common divisor of 407, 363, 345, 350 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 407, 363, 345, 350 i.e 1.

3. How can I use the GCD of 407, 363, 345, 350Calculator?

Out the numbers 407, 363, 345, 350 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.