GCD of 237, 189, 978, 198 Calculator

Given Input numbers are 237, 189, 978, 198

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

Divisors of 237 :

The positive integer divisors of 237 that completely divides 237 are.

1, 3, 79, 237

Divisors of 189 :

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

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

Divisors of 978 :

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

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

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

GCD of numbers is the greatest common divisor

So, the GCD (237, 189, 978, 198) = 3.

Given numbers are 237, 189, 978, 198

The list of prime factors of all numbers are

Prime factors of 237 are 3 x 79

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

Prime factors of 978 are 2 x 3 x 163

Prime factors of 198 are 2 x 3 x 3 x 11

The highest common occurrence is 3¹

Therefore, GCD of 237, 189, 978, 198 is 3.

Given numbers are 237, 189, 978, 198

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

Apply this formula for all numbers.

Step1:

LCM(237, 189) = 14931

GCD(237, 189) = ( 237 x 189 ) / 14931

= 237 / 189

= 237

Step2:

LCM(3, 978) = 978

GCD(3, 978) = ( 3 x 978 ) / 978

= 3 / 978

= 3

Step3:

LCM(3, 198) = 198

GCD(3, 198) = ( 3 x 198 ) / 198

= 3 / 198

= 3

So, Greatest Common Divisor of 237, 189, 978, 198 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 184, 158, 554, 842
• GCD of 215, 990, 912, 307
• GCD of 649, 154, 594, 617
• GCD of 712, 472, 207, 528
• GCD of 105, 752, 619, 720

Given numbers are 237, 189, 978, 198
The greatest common divisor of numbers 237, 189, 978, 198 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 237, 189, 978, 198 is 3.

1. What is the GCD of 237, 189, 978, 198?

GCD of given numbers 237, 189, 978, 198 is 3

2. How to calculate the greatest common divisor of 237, 189, 978, 198?

We can find the highest common divisor of 237, 189, 978, 198 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 237, 189, 978, 198 i.e 3.

3. How can I use the GCD of 237, 189, 978, 198Calculator?

Out the numbers 237, 189, 978, 198 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.