GCD of 238, 420, 206, 142 Calculator

Given Input numbers are 238, 420, 206, 142

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

Divisors of 238 :

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

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 206 :

The positive integer divisors of 206 that completely divides 206 are.

1, 2, 103, 206

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 (238, 420, 206, 142) = 2.

Given numbers are 238, 420, 206, 142

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 206 are 2 x 103

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 238, 420, 206, 142 is 2.

Given numbers are 238, 420, 206, 142

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

Apply this formula for all numbers.

Step1:

LCM(238, 420) = 7140

GCD(238, 420) = ( 238 x 420 ) / 7140

= 238 / 420

= 238

Step2:

LCM(14, 206) = 1442

GCD(14, 206) = ( 14 x 206 ) / 1442

= 14 / 206

= 14

Step3:

LCM(2, 142) = 142

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

= 2 / 142

= 2

So, Greatest Common Divisor of 238, 420, 206, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 963, 402, 345
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• GCD of 810, 902, 333, 539

Given numbers are 238, 420, 206, 142
The greatest common divisor of numbers 238, 420, 206, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 420, 206, 142 is 2.

1. What is the GCD of 238, 420, 206, 142?

GCD of given numbers 238, 420, 206, 142 is 2

2. How to calculate the greatest common divisor of 238, 420, 206, 142?

We can find the highest common divisor of 238, 420, 206, 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 238, 420, 206, 142 i.e 2.

3. How can I use the GCD of 238, 420, 206, 142Calculator?

Out the numbers 238, 420, 206, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.