GCD of 584, 420, 785, 422 Calculator

Given Input numbers are 584, 420, 785, 422

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

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

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 785 :

The positive integer divisors of 785 that completely divides 785 are.

1, 5, 157, 785

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (584, 420, 785, 422) = 1.

Given numbers are 584, 420, 785, 422

The list of prime factors of all numbers are

Prime factors of 584 are 2 x 2 x 2 x 73

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

Prime factors of 785 are 5 x 157

Prime factors of 422 are 2 x 211

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

Given numbers are 584, 420, 785, 422

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

Apply this formula for all numbers.

Step1:

LCM(584, 420) = 61320

GCD(584, 420) = ( 584 x 420 ) / 61320

= 584 / 420

= 584

Step2:

LCM(4, 785) = 3140

GCD(4, 785) = ( 4 x 785 ) / 3140

= 4 / 785

= 4

Step3:

LCM(1, 422) = 422

GCD(1, 422) = ( 1 x 422 ) / 422

= 1 / 422

= 1

So, Greatest Common Divisor of 584, 420, 785, 422 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 598, 724, 674, 389
• GCD of 774, 861, 993, 342
• GCD of 166, 807, 904, 992
• GCD of 554, 920, 642, 810
• GCD of 368, 832, 107, 745

Given numbers are 584, 420, 785, 422
The greatest common divisor of numbers 584, 420, 785, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 584, 420, 785, 422 is 1.

1. What is the GCD of 584, 420, 785, 422?

GCD of given numbers 584, 420, 785, 422 is 1

2. How to calculate the greatest common divisor of 584, 420, 785, 422?

We can find the highest common divisor of 584, 420, 785, 422 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 584, 420, 785, 422 i.e 1.

3. How can I use the GCD of 584, 420, 785, 422Calculator?

Out the numbers 584, 420, 785, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.