GCD of 814, 989, 420, 928 Calculator

Given Input numbers are 814, 989, 420, 928

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

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

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 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

GCD of numbers is the greatest common divisor

So, the GCD (814, 989, 420, 928) = 1.

Given numbers are 814, 989, 420, 928

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 989 are 23 x 43

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

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

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

Given numbers are 814, 989, 420, 928

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

Apply this formula for all numbers.

Step1:

LCM(814, 989) = 805046

GCD(814, 989) = ( 814 x 989 ) / 805046

= 814 / 989

= 814

Step2:

LCM(1, 420) = 420

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

= 1 / 420

= 1

Step3:

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

= 1 / 928

= 1

So, Greatest Common Divisor of 814, 989, 420, 928 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 645, 177, 789, 570
• GCD of 850, 517, 700, 818
• GCD of 517, 802, 480, 990
• GCD of 787, 529, 757, 654
• GCD of 341, 692, 449, 682

Given numbers are 814, 989, 420, 928
The greatest common divisor of numbers 814, 989, 420, 928 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 989, 420, 928 is 1.

1. What is the GCD of 814, 989, 420, 928?

GCD of given numbers 814, 989, 420, 928 is 1

2. How to calculate the greatest common divisor of 814, 989, 420, 928?

We can find the highest common divisor of 814, 989, 420, 928 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 814, 989, 420, 928 i.e 1.

3. How can I use the GCD of 814, 989, 420, 928Calculator?

Out the numbers 814, 989, 420, 928 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.