GCD of 789, 204, 370, 698 Calculator

Given Input numbers are 789, 204, 370, 698

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 204 :

The positive integer divisors of 204 that completely divides 204 are.

1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (789, 204, 370, 698) = 1.

Given numbers are 789, 204, 370, 698

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 204 are 2 x 2 x 3 x 17

Prime factors of 370 are 2 x 5 x 37

Prime factors of 698 are 2 x 349

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

Given numbers are 789, 204, 370, 698

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

Apply this formula for all numbers.

Step1:

LCM(789, 204) = 53652

GCD(789, 204) = ( 789 x 204 ) / 53652

= 789 / 204

= 789

Step2:

LCM(3, 370) = 1110

GCD(3, 370) = ( 3 x 370 ) / 1110

= 3 / 370

= 3

Step3:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

So, Greatest Common Divisor of 789, 204, 370, 698 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 530, 309, 830, 911
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• GCD of 794, 567, 219, 624
• GCD of 755, 417, 365, 285

Given numbers are 789, 204, 370, 698
The greatest common divisor of numbers 789, 204, 370, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 204, 370, 698 is 1.

1. What is the GCD of 789, 204, 370, 698?

GCD of given numbers 789, 204, 370, 698 is 1

2. How to calculate the greatest common divisor of 789, 204, 370, 698?

We can find the highest common divisor of 789, 204, 370, 698 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, 204, 370, 698 i.e 1.

3. How can I use the GCD of 789, 204, 370, 698Calculator?

Out the numbers 789, 204, 370, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.