GCD of 969, 795, 689, 825 Calculator

Given Input numbers are 969, 795, 689, 825

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 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (969, 795, 689, 825) = 1.

Given numbers are 969, 795, 689, 825

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 795 are 3 x 5 x 53

Prime factors of 689 are 13 x 53

Prime factors of 825 are 3 x 5 x 5 x 11

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

Given numbers are 969, 795, 689, 825

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

Apply this formula for all numbers.

Step1:

LCM(969, 795) = 256785

GCD(969, 795) = ( 969 x 795 ) / 256785

= 969 / 795

= 969

Step2:

LCM(3, 689) = 2067

GCD(3, 689) = ( 3 x 689 ) / 2067

= 3 / 689

= 3

Step3:

LCM(1, 825) = 825

GCD(1, 825) = ( 1 x 825 ) / 825

= 1 / 825

= 1

So, Greatest Common Divisor of 969, 795, 689, 825 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 250, 206, 379, 419
• GCD of 514, 805, 580, 474
• GCD of 508, 244, 973, 839
• GCD of 294, 861, 922, 469
• GCD of 636, 974, 457, 759

Given numbers are 969, 795, 689, 825
The greatest common divisor of numbers 969, 795, 689, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 795, 689, 825 is 1.

1. What is the GCD of 969, 795, 689, 825?

GCD of given numbers 969, 795, 689, 825 is 1

2. How to calculate the greatest common divisor of 969, 795, 689, 825?

We can find the highest common divisor of 969, 795, 689, 825 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, 795, 689, 825 i.e 1.

3. How can I use the GCD of 969, 795, 689, 825Calculator?

Out the numbers 969, 795, 689, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.