GCD of 431, 821, 966, 420 Calculator

Given Input numbers are 431, 821, 966, 420

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

Divisors of 431 :

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

1, 431

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

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

GCD of numbers is the greatest common divisor

So, the GCD (431, 821, 966, 420) = 1.

Given numbers are 431, 821, 966, 420

The list of prime factors of all numbers are

Prime factors of 431 are 431

Prime factors of 821 are 821

Prime factors of 966 are 2 x 3 x 7 x 23

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

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

Given numbers are 431, 821, 966, 420

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

Apply this formula for all numbers.

Step1:

LCM(431, 821) = 353851

GCD(431, 821) = ( 431 x 821 ) / 353851

= 431 / 821

= 431

Step2:

LCM(1, 966) = 966

GCD(1, 966) = ( 1 x 966 ) / 966

= 1 / 966

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 431, 821, 966, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 663, 468, 883, 403
• GCD of 129, 856, 270, 618
• GCD of 926, 332, 147, 351
• GCD of 171, 244, 628, 835
• GCD of 759, 920, 205, 805

Given numbers are 431, 821, 966, 420
The greatest common divisor of numbers 431, 821, 966, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 431, 821, 966, 420 is 1.

1. What is the GCD of 431, 821, 966, 420?

GCD of given numbers 431, 821, 966, 420 is 1

2. How to calculate the greatest common divisor of 431, 821, 966, 420?

We can find the highest common divisor of 431, 821, 966, 420 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 431, 821, 966, 420 i.e 1.

3. How can I use the GCD of 431, 821, 966, 420Calculator?

Out the numbers 431, 821, 966, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.