GCD of 942, 408, 198, 222 Calculator

Given Input numbers are 942, 408, 198, 222

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

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

GCD of numbers is the greatest common divisor

So, the GCD (942, 408, 198, 222) = 6.

Given numbers are 942, 408, 198, 222

The list of prime factors of all numbers are

Prime factors of 942 are 2 x 3 x 157

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Prime factors of 222 are 2 x 3 x 37

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 942, 408, 198, 222 is 6.

Given numbers are 942, 408, 198, 222

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

Apply this formula for all numbers.

Step1:

LCM(942, 408) = 64056

GCD(942, 408) = ( 942 x 408 ) / 64056

= 942 / 408

= 942

Step2:

LCM(6, 198) = 198

GCD(6, 198) = ( 6 x 198 ) / 198

= 6 / 198

= 6

Step3:

LCM(6, 222) = 222

GCD(6, 222) = ( 6 x 222 ) / 222

= 6 / 222

= 6

So, Greatest Common Divisor of 942, 408, 198, 222 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 396, 346, 472
• GCD of 571, 516, 227, 986
• GCD of 803, 354, 102, 679
• GCD of 983, 896, 170, 634
• GCD of 655, 479, 107, 876

Given numbers are 942, 408, 198, 222
The greatest common divisor of numbers 942, 408, 198, 222 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 942, 408, 198, 222 is 6.

1. What is the GCD of 942, 408, 198, 222?

GCD of given numbers 942, 408, 198, 222 is 6

2. How to calculate the greatest common divisor of 942, 408, 198, 222?

We can find the highest common divisor of 942, 408, 198, 222 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 942, 408, 198, 222 i.e 6.

3. How can I use the GCD of 942, 408, 198, 222Calculator?

Out the numbers 942, 408, 198, 222 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.