GCD of 789, 693, 354, 531 Calculator

Given Input numbers are 789, 693, 354, 531

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 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 531 :

The positive integer divisors of 531 that completely divides 531 are.

1, 3, 9, 59, 177, 531

GCD of numbers is the greatest common divisor

So, the GCD (789, 693, 354, 531) = 3.

Given numbers are 789, 693, 354, 531

The list of prime factors of all numbers are

Prime factors of 789 are 3 x 263

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 354 are 2 x 3 x 59

Prime factors of 531 are 3 x 3 x 59

The highest common occurrence is 3¹

Therefore, GCD of 789, 693, 354, 531 is 3.

Given numbers are 789, 693, 354, 531

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

Apply this formula for all numbers.

Step1:

LCM(789, 693) = 182259

GCD(789, 693) = ( 789 x 693 ) / 182259

= 789 / 693

= 789

Step2:

LCM(3, 354) = 354

GCD(3, 354) = ( 3 x 354 ) / 354

= 3 / 354

= 3

Step3:

LCM(3, 531) = 531

GCD(3, 531) = ( 3 x 531 ) / 531

= 3 / 531

= 3

So, Greatest Common Divisor of 789, 693, 354, 531 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 460, 984, 447
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Given numbers are 789, 693, 354, 531
The greatest common divisor of numbers 789, 693, 354, 531 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 789, 693, 354, 531 is 3.

1. What is the GCD of 789, 693, 354, 531?

GCD of given numbers 789, 693, 354, 531 is 3

2. How to calculate the greatest common divisor of 789, 693, 354, 531?

We can find the highest common divisor of 789, 693, 354, 531 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, 693, 354, 531 i.e 3.

3. How can I use the GCD of 789, 693, 354, 531Calculator?

Out the numbers 789, 693, 354, 531 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.