GCD of 800, 552, 420, 521 Calculator

Given Input numbers are 800, 552, 420, 521

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

Divisors of 800 :

The positive integer divisors of 800 that completely divides 800 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 32, 40, 50, 80, 100, 160, 200, 400, 800

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

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 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (800, 552, 420, 521) = 1.

Given numbers are 800, 552, 420, 521

The list of prime factors of all numbers are

Prime factors of 800 are 2 x 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

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

Prime factors of 521 are 521

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

Given numbers are 800, 552, 420, 521

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

Apply this formula for all numbers.

Step1:

LCM(800, 552) = 55200

GCD(800, 552) = ( 800 x 552 ) / 55200

= 800 / 552

= 800

Step2:

LCM(8, 420) = 840

GCD(8, 420) = ( 8 x 420 ) / 840

= 8 / 420

= 8

Step3:

LCM(4, 521) = 2084

GCD(4, 521) = ( 4 x 521 ) / 2084

= 4 / 521

= 4

So, Greatest Common Divisor of 800, 552, 420, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 787, 369, 296, 283
• GCD of 654, 241, 928, 338
• GCD of 355, 536, 768, 376
• GCD of 135, 955, 484, 969
• GCD of 985, 908, 840, 476

Given numbers are 800, 552, 420, 521
The greatest common divisor of numbers 800, 552, 420, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 800, 552, 420, 521 is 1.

1. What is the GCD of 800, 552, 420, 521?

GCD of given numbers 800, 552, 420, 521 is 1

2. How to calculate the greatest common divisor of 800, 552, 420, 521?

We can find the highest common divisor of 800, 552, 420, 521 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 800, 552, 420, 521 i.e 1.

3. How can I use the GCD of 800, 552, 420, 521Calculator?

Out the numbers 800, 552, 420, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.