GCD of 975, 693, 303, 789 Calculator

Given Input numbers are 975, 693, 303, 789

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

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

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 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 789 :

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

1, 3, 263, 789

GCD of numbers is the greatest common divisor

So, the GCD (975, 693, 303, 789) = 3.

Given numbers are 975, 693, 303, 789

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

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

Prime factors of 303 are 3 x 101

Prime factors of 789 are 3 x 263

The highest common occurrence is 3¹

Therefore, GCD of 975, 693, 303, 789 is 3.

Given numbers are 975, 693, 303, 789

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

Apply this formula for all numbers.

Step1:

LCM(975, 693) = 225225

GCD(975, 693) = ( 975 x 693 ) / 225225

= 975 / 693

= 975

Step2:

LCM(3, 303) = 303

GCD(3, 303) = ( 3 x 303 ) / 303

= 3 / 303

= 3

Step3:

LCM(3, 789) = 789

GCD(3, 789) = ( 3 x 789 ) / 789

= 3 / 789

= 3

So, Greatest Common Divisor of 975, 693, 303, 789 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 642, 860, 505, 549
• GCD of 384, 877, 931, 751
• GCD of 914, 666, 253, 258
• GCD of 952, 912, 111, 760
• GCD of 756, 855, 520, 878

Given numbers are 975, 693, 303, 789
The greatest common divisor of numbers 975, 693, 303, 789 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 693, 303, 789 is 3.

1. What is the GCD of 975, 693, 303, 789?

GCD of given numbers 975, 693, 303, 789 is 3

2. How to calculate the greatest common divisor of 975, 693, 303, 789?

We can find the highest common divisor of 975, 693, 303, 789 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 975, 693, 303, 789 i.e 3.

3. How can I use the GCD of 975, 693, 303, 789Calculator?

Out the numbers 975, 693, 303, 789 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.