GCD of 503, 420, 556, 400 Calculator

Given Input numbers are 503, 420, 556, 400

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

Divisors of 503 :

The positive integer divisors of 503 that completely divides 503 are.

1, 503

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 556 :

The positive integer divisors of 556 that completely divides 556 are.

1, 2, 4, 139, 278, 556

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 (503, 420, 556, 400) = 1.

Given numbers are 503, 420, 556, 400

The list of prime factors of all numbers are

Prime factors of 503 are 503

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 556 are 2 x 2 x 139

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 503, 420, 556, 400

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

Apply this formula for all numbers.

Step1:

LCM(503, 420) = 211260

GCD(503, 420) = ( 503 x 420 ) / 211260

= 503 / 420

= 503

Step2:

LCM(1, 556) = 556

GCD(1, 556) = ( 1 x 556 ) / 556

= 1 / 556

= 1

Step3:

LCM(1, 400) = 400

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

= 1 / 400

= 1

So, Greatest Common Divisor of 503, 420, 556, 400 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 966, 276, 735, 478
• GCD of 453, 427, 359, 664
• GCD of 135, 133, 916, 157
• GCD of 947, 872, 522, 285
• GCD of 944, 502, 133, 590

Given numbers are 503, 420, 556, 400
The greatest common divisor of numbers 503, 420, 556, 400 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 503, 420, 556, 400 is 1.

1. What is the GCD of 503, 420, 556, 400?

GCD of given numbers 503, 420, 556, 400 is 1

2. How to calculate the greatest common divisor of 503, 420, 556, 400?

We can find the highest common divisor of 503, 420, 556, 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 503, 420, 556, 400 i.e 1.

3. How can I use the GCD of 503, 420, 556, 400Calculator?

Out the numbers 503, 420, 556, 400 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.