GCD of 357, 365, 649, 400 Calculator

Given Input numbers are 357, 365, 649, 400

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

Divisors of 357 :

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

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

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

GCD of numbers is the greatest common divisor

So, the GCD (357, 365, 649, 400) = 1.

Given numbers are 357, 365, 649, 400

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 365 are 5 x 73

Prime factors of 649 are 11 x 59

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

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

Given numbers are 357, 365, 649, 400

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

Apply this formula for all numbers.

Step1:

LCM(357, 365) = 130305

GCD(357, 365) = ( 357 x 365 ) / 130305

= 357 / 365

= 357

Step2:

LCM(1, 649) = 649

GCD(1, 649) = ( 1 x 649 ) / 649

= 1 / 649

= 1

Step3:

LCM(1, 400) = 400

GCD(1, 400) = ( 1 x 400 ) / 400

= 1 / 400

= 1

So, Greatest Common Divisor of 357, 365, 649, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 257, 929, 430, 983
• GCD of 652, 390, 685, 699
• GCD of 731, 885, 969, 106
• GCD of 428, 882, 472, 970
• GCD of 475, 963, 154, 727

Given numbers are 357, 365, 649, 400
The greatest common divisor of numbers 357, 365, 649, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 365, 649, 400 is 1.

1. What is the GCD of 357, 365, 649, 400?

GCD of given numbers 357, 365, 649, 400 is 1

2. How to calculate the greatest common divisor of 357, 365, 649, 400?

We can find the highest common divisor of 357, 365, 649, 400 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 357, 365, 649, 400 i.e 1.

3. How can I use the GCD of 357, 365, 649, 400Calculator?

Out the numbers 357, 365, 649, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.