GCD of 420, 864, 673, 431 Calculator

Given Input numbers are 420, 864, 673, 431

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

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 864 :

The positive integer divisors of 864 that completely divides 864 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864

Divisors of 673 :

The positive integer divisors of 673 that completely divides 673 are.

1, 673

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (420, 864, 673, 431) = 1.

Given numbers are 420, 864, 673, 431

The list of prime factors of all numbers are

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

Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 673 are 673

Prime factors of 431 are 431

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

Given numbers are 420, 864, 673, 431

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

Apply this formula for all numbers.

Step1:

LCM(420, 864) = 30240

GCD(420, 864) = ( 420 x 864 ) / 30240

= 420 / 864

= 420

Step2:

LCM(12, 673) = 8076

GCD(12, 673) = ( 12 x 673 ) / 8076

= 12 / 673

= 12

Step3:

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

= 1 / 431

= 1

So, Greatest Common Divisor of 420, 864, 673, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 403, 286, 329, 442
• GCD of 767, 590, 151, 740
• GCD of 430, 496, 252, 533
• GCD of 608, 259, 884, 878
• GCD of 685, 454, 894, 809

Given numbers are 420, 864, 673, 431
The greatest common divisor of numbers 420, 864, 673, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 864, 673, 431 is 1.

1. What is the GCD of 420, 864, 673, 431?

GCD of given numbers 420, 864, 673, 431 is 1

2. How to calculate the greatest common divisor of 420, 864, 673, 431?

We can find the highest common divisor of 420, 864, 673, 431 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 420, 864, 673, 431 i.e 1.

3. How can I use the GCD of 420, 864, 673, 431Calculator?

Out the numbers 420, 864, 673, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.