GCD of 978, 164, 909, 189 Calculator

Given Input numbers are 978, 164, 909, 189

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

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 189 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (978, 164, 909, 189) = 1.

Given numbers are 978, 164, 909, 189

The list of prime factors of all numbers are

Prime factors of 978 are 2 x 3 x 163

Prime factors of 164 are 2 x 2 x 41

Prime factors of 909 are 3 x 3 x 101

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

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

Given numbers are 978, 164, 909, 189

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

Apply this formula for all numbers.

Step1:

LCM(978, 164) = 80196

GCD(978, 164) = ( 978 x 164 ) / 80196

= 978 / 164

= 978

Step2:

LCM(2, 909) = 1818

GCD(2, 909) = ( 2 x 909 ) / 1818

= 2 / 909

= 2

Step3:

LCM(1, 189) = 189

GCD(1, 189) = ( 1 x 189 ) / 189

= 1 / 189

= 1

So, Greatest Common Divisor of 978, 164, 909, 189 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 614, 331, 521, 717
• GCD of 900, 567, 199, 591
• GCD of 941, 443, 588, 197
• GCD of 956, 485, 774, 220
• GCD of 863, 189, 945, 205

Given numbers are 978, 164, 909, 189
The greatest common divisor of numbers 978, 164, 909, 189 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 978, 164, 909, 189 is 1.

1. What is the GCD of 978, 164, 909, 189?

GCD of given numbers 978, 164, 909, 189 is 1

2. How to calculate the greatest common divisor of 978, 164, 909, 189?

We can find the highest common divisor of 978, 164, 909, 189 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 978, 164, 909, 189 i.e 1.

3. How can I use the GCD of 978, 164, 909, 189Calculator?

Out the numbers 978, 164, 909, 189 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.