GCD of 400, 385, 962, 508 Calculator

Given Input numbers are 400, 385, 962, 508

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

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

Divisors of 385 :

The positive integer divisors of 385 that completely divides 385 are.

1, 5, 7, 11, 35, 55, 77, 385

Divisors of 962 :

The positive integer divisors of 962 that completely divides 962 are.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (400, 385, 962, 508) = 1.

Given numbers are 400, 385, 962, 508

The list of prime factors of all numbers are

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

Prime factors of 385 are 5 x 7 x 11

Prime factors of 962 are 2 x 13 x 37

Prime factors of 508 are 2 x 2 x 127

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

Given numbers are 400, 385, 962, 508

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

Apply this formula for all numbers.

Step1:

LCM(400, 385) = 30800

GCD(400, 385) = ( 400 x 385 ) / 30800

= 400 / 385

= 400

Step2:

LCM(5, 962) = 4810

GCD(5, 962) = ( 5 x 962 ) / 4810

= 5 / 962

= 5

Step3:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

So, Greatest Common Divisor of 400, 385, 962, 508 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 634, 445, 422
• GCD of 154, 796, 427, 649
• GCD of 607, 295, 261, 874
• GCD of 872, 715, 440, 904
• GCD of 291, 148, 477, 421

Given numbers are 400, 385, 962, 508
The greatest common divisor of numbers 400, 385, 962, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 385, 962, 508 is 1.

1. What is the GCD of 400, 385, 962, 508?

GCD of given numbers 400, 385, 962, 508 is 1

2. How to calculate the greatest common divisor of 400, 385, 962, 508?

We can find the highest common divisor of 400, 385, 962, 508 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 400, 385, 962, 508 i.e 1.

3. How can I use the GCD of 400, 385, 962, 508Calculator?

Out the numbers 400, 385, 962, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.