GCD of 189, 829, 616, 965 Calculator

Given Input numbers are 189, 829, 616, 965

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

Divisors of 189 :

The positive integer divisors of 189 that completely divides 189 are.

1, 3, 7, 9, 21, 27, 63, 189

Divisors of 829 :

The positive integer divisors of 829 that completely divides 829 are.

1, 829

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

GCD of numbers is the greatest common divisor

So, the GCD (189, 829, 616, 965) = 1.

Given numbers are 189, 829, 616, 965

The list of prime factors of all numbers are

Prime factors of 189 are 3 x 3 x 3 x 7

Prime factors of 829 are 829

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 965 are 5 x 193

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

Given numbers are 189, 829, 616, 965

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

Apply this formula for all numbers.

Step1:

LCM(189, 829) = 156681

GCD(189, 829) = ( 189 x 829 ) / 156681

= 189 / 829

= 189

Step2:

LCM(1, 616) = 616

GCD(1, 616) = ( 1 x 616 ) / 616

= 1 / 616

= 1

Step3:

LCM(1, 965) = 965

GCD(1, 965) = ( 1 x 965 ) / 965

= 1 / 965

= 1

So, Greatest Common Divisor of 189, 829, 616, 965 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 705, 561, 578
• GCD of 964, 318, 532, 685
• GCD of 372, 528, 921, 109
• GCD of 161, 803, 361, 756
• GCD of 317, 652, 441, 162

Given numbers are 189, 829, 616, 965
The greatest common divisor of numbers 189, 829, 616, 965 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 189, 829, 616, 965 is 1.

1. What is the GCD of 189, 829, 616, 965?

GCD of given numbers 189, 829, 616, 965 is 1

2. How to calculate the greatest common divisor of 189, 829, 616, 965?

We can find the highest common divisor of 189, 829, 616, 965 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 189, 829, 616, 965 i.e 1.

3. How can I use the GCD of 189, 829, 616, 965Calculator?

Out the numbers 189, 829, 616, 965 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.