GCD of 420, 711, 872, 678 Calculator

Given Input numbers are 420, 711, 872, 678

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 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

Divisors of 872 :

The positive integer divisors of 872 that completely divides 872 are.

1, 2, 4, 8, 109, 218, 436, 872

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (420, 711, 872, 678) = 1.

Given numbers are 420, 711, 872, 678

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 711 are 3 x 3 x 79

Prime factors of 872 are 2 x 2 x 2 x 109

Prime factors of 678 are 2 x 3 x 113

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

Given numbers are 420, 711, 872, 678

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

Apply this formula for all numbers.

Step1:

LCM(420, 711) = 99540

GCD(420, 711) = ( 420 x 711 ) / 99540

= 420 / 711

= 420

Step2:

LCM(3, 872) = 2616

GCD(3, 872) = ( 3 x 872 ) / 2616

= 3 / 872

= 3

Step3:

LCM(1, 678) = 678

GCD(1, 678) = ( 1 x 678 ) / 678

= 1 / 678

= 1

So, Greatest Common Divisor of 420, 711, 872, 678 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 471, 500, 435, 903
• GCD of 288, 360, 618, 512
• GCD of 272, 966, 528, 574
• GCD of 115, 339, 180, 540
• GCD of 763, 348, 254, 268

Given numbers are 420, 711, 872, 678
The greatest common divisor of numbers 420, 711, 872, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 711, 872, 678 is 1.

1. What is the GCD of 420, 711, 872, 678?

GCD of given numbers 420, 711, 872, 678 is 1

2. How to calculate the greatest common divisor of 420, 711, 872, 678?

We can find the highest common divisor of 420, 711, 872, 678 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, 711, 872, 678 i.e 1.

3. How can I use the GCD of 420, 711, 872, 678Calculator?

Out the numbers 420, 711, 872, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.