GCD of 400, 976, 457, 402 Calculator

Given Input numbers are 400, 976, 457, 402

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 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 457 :

The positive integer divisors of 457 that completely divides 457 are.

1, 457

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (400, 976, 457, 402) = 1.

Given numbers are 400, 976, 457, 402

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 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 457 are 457

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 400, 976, 457, 402

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

Apply this formula for all numbers.

Step1:

LCM(400, 976) = 24400

GCD(400, 976) = ( 400 x 976 ) / 24400

= 400 / 976

= 400

Step2:

LCM(16, 457) = 7312

GCD(16, 457) = ( 16 x 457 ) / 7312

= 16 / 457

= 16

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 400, 976, 457, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 752, 919, 747, 633
• GCD of 326, 618, 668, 113
• GCD of 822, 387, 994, 629
• GCD of 259, 786, 404, 490
• GCD of 370, 967, 909, 602

Given numbers are 400, 976, 457, 402
The greatest common divisor of numbers 400, 976, 457, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 400, 976, 457, 402 is 1.

1. What is the GCD of 400, 976, 457, 402?

GCD of given numbers 400, 976, 457, 402 is 1

2. How to calculate the greatest common divisor of 400, 976, 457, 402?

We can find the highest common divisor of 400, 976, 457, 402 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, 976, 457, 402 i.e 1.

3. How can I use the GCD of 400, 976, 457, 402Calculator?

Out the numbers 400, 976, 457, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.