GCD of 969, 759, 735, 393 Calculator

Given Input numbers are 969, 759, 735, 393

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 759 :

The positive integer divisors of 759 that completely divides 759 are.

1, 3, 11, 23, 33, 69, 253, 759

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 393 :

The positive integer divisors of 393 that completely divides 393 are.

1, 3, 131, 393

GCD of numbers is the greatest common divisor

So, the GCD (969, 759, 735, 393) = 3.

Given numbers are 969, 759, 735, 393

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 759 are 3 x 11 x 23

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 393 are 3 x 131

The highest common occurrence is 3¹

Therefore, GCD of 969, 759, 735, 393 is 3.

Given numbers are 969, 759, 735, 393

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

Apply this formula for all numbers.

Step1:

LCM(969, 759) = 245157

GCD(969, 759) = ( 969 x 759 ) / 245157

= 969 / 759

= 969

Step2:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

Step3:

LCM(3, 393) = 393

GCD(3, 393) = ( 3 x 393 ) / 393

= 3 / 393

= 3

So, Greatest Common Divisor of 969, 759, 735, 393 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 310, 784, 820
• GCD of 236, 704, 185, 709
• GCD of 715, 238, 747, 792
• GCD of 870, 542, 213, 769
• GCD of 767, 666, 725, 556

Given numbers are 969, 759, 735, 393
The greatest common divisor of numbers 969, 759, 735, 393 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 759, 735, 393 is 3.

1. What is the GCD of 969, 759, 735, 393?

GCD of given numbers 969, 759, 735, 393 is 3

2. How to calculate the greatest common divisor of 969, 759, 735, 393?

We can find the highest common divisor of 969, 759, 735, 393 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 969, 759, 735, 393 i.e 3.

3. How can I use the GCD of 969, 759, 735, 393Calculator?

Out the numbers 969, 759, 735, 393 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.