GCD of 938, 216, 238, 142 Calculator

Given Input numbers are 938, 216, 238, 142

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

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 238 :

The positive integer divisors of 238 that completely divides 238 are.

1, 2, 7, 14, 17, 34, 119, 238

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (938, 216, 238, 142) = 2.

Given numbers are 938, 216, 238, 142

The list of prime factors of all numbers are

Prime factors of 938 are 2 x 7 x 67

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 238 are 2 x 7 x 17

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 938, 216, 238, 142 is 2.

Given numbers are 938, 216, 238, 142

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

Apply this formula for all numbers.

Step1:

LCM(938, 216) = 101304

GCD(938, 216) = ( 938 x 216 ) / 101304

= 938 / 216

= 938

Step2:

LCM(2, 238) = 238

GCD(2, 238) = ( 2 x 238 ) / 238

= 2 / 238

= 2

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 938, 216, 238, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 628, 805, 795, 829
• GCD of 759, 852, 483, 423
• GCD of 175, 315, 184, 910
• GCD of 107, 409, 387, 852
• GCD of 211, 387, 308, 106

Given numbers are 938, 216, 238, 142
The greatest common divisor of numbers 938, 216, 238, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 938, 216, 238, 142 is 2.

1. What is the GCD of 938, 216, 238, 142?

GCD of given numbers 938, 216, 238, 142 is 2

2. How to calculate the greatest common divisor of 938, 216, 238, 142?

We can find the highest common divisor of 938, 216, 238, 142 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 938, 216, 238, 142 i.e 2.

3. How can I use the GCD of 938, 216, 238, 142Calculator?

Out the numbers 938, 216, 238, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.