GCD of 160, 972, 198, 234 Calculator

Given Input numbers are 160, 972, 198, 234

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

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

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 234 :

The positive integer divisors of 234 that completely divides 234 are.

1, 2, 3, 6, 9, 13, 18, 26, 39, 78, 117, 234

GCD of numbers is the greatest common divisor

So, the GCD (160, 972, 198, 234) = 2.

Given numbers are 160, 972, 198, 234

The list of prime factors of all numbers are

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Prime factors of 234 are 2 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 160, 972, 198, 234 is 2.

Given numbers are 160, 972, 198, 234

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

Apply this formula for all numbers.

Step1:

LCM(160, 972) = 38880

GCD(160, 972) = ( 160 x 972 ) / 38880

= 160 / 972

= 160

Step2:

LCM(4, 198) = 396

GCD(4, 198) = ( 4 x 198 ) / 396

= 4 / 198

= 4

Step3:

LCM(2, 234) = 234

GCD(2, 234) = ( 2 x 234 ) / 234

= 2 / 234

= 2

So, Greatest Common Divisor of 160, 972, 198, 234 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 874, 554, 435, 600
• GCD of 718, 528, 461, 133
• GCD of 472, 414, 305, 307
• GCD of 569, 565, 439, 866
• GCD of 851, 415, 146, 364

Given numbers are 160, 972, 198, 234
The greatest common divisor of numbers 160, 972, 198, 234 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 160, 972, 198, 234 is 2.

1. What is the GCD of 160, 972, 198, 234?

GCD of given numbers 160, 972, 198, 234 is 2

2. How to calculate the greatest common divisor of 160, 972, 198, 234?

We can find the highest common divisor of 160, 972, 198, 234 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 160, 972, 198, 234 i.e 2.

3. How can I use the GCD of 160, 972, 198, 234Calculator?

Out the numbers 160, 972, 198, 234 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.