GCD of 789, 357, 450, 821 Calculator

Given Input numbers are 789, 357, 450, 821

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

Divisors of 789 :

The positive integer divisors of 789 that completely divides 789 are.

1, 3, 263, 789

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 821 :

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

1, 821

GCD of numbers is the greatest common divisor

So, the GCD (789, 357, 450, 821) = 1.

Given numbers are 789, 357, 450, 821

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 357 are 3 x 7 x 17

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 821 are 821

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

Given numbers are 789, 357, 450, 821

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

Apply this formula for all numbers.

Step1:

LCM(789, 357) = 93891

GCD(789, 357) = ( 789 x 357 ) / 93891

= 789 / 357

= 789

Step2:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3

Step3:

LCM(3, 821) = 2463

GCD(3, 821) = ( 3 x 821 ) / 2463

= 3 / 821

= 3

So, Greatest Common Divisor of 789, 357, 450, 821 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 505, 671, 545, 532
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Given numbers are 789, 357, 450, 821
The greatest common divisor of numbers 789, 357, 450, 821 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 357, 450, 821 is 1.

1. What is the GCD of 789, 357, 450, 821?

GCD of given numbers 789, 357, 450, 821 is 1

2. How to calculate the greatest common divisor of 789, 357, 450, 821?

We can find the highest common divisor of 789, 357, 450, 821 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 789, 357, 450, 821 i.e 1.

3. How can I use the GCD of 789, 357, 450, 821Calculator?

Out the numbers 789, 357, 450, 821 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.