GCD of 238, 972, 626, 218 Calculator

Given Input numbers are 238, 972, 626, 218

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 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 626 :

The positive integer divisors of 626 that completely divides 626 are.

1, 2, 313, 626

Divisors of 218 :

The positive integer divisors of 218 that completely divides 218 are.

1, 2, 109, 218

GCD of numbers is the greatest common divisor

So, the GCD (238, 972, 626, 218) = 2.

Given numbers are 238, 972, 626, 218

The list of prime factors of all numbers are

Prime factors of 238 are 2 x 7 x 17

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

Prime factors of 626 are 2 x 313

Prime factors of 218 are 2 x 109

The highest common occurrence is 2¹

Therefore, GCD of 238, 972, 626, 218 is 2.

Given numbers are 238, 972, 626, 218

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

Apply this formula for all numbers.

Step1:

LCM(238, 972) = 115668

GCD(238, 972) = ( 238 x 972 ) / 115668

= 238 / 972

= 238

Step2:

LCM(2, 626) = 626

GCD(2, 626) = ( 2 x 626 ) / 626

= 2 / 626

= 2

Step3:

LCM(2, 218) = 218

GCD(2, 218) = ( 2 x 218 ) / 218

= 2 / 218

= 2

So, Greatest Common Divisor of 238, 972, 626, 218 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 108, 355, 841, 623
• GCD of 633, 448, 571, 777
• GCD of 328, 227, 188, 613
• GCD of 388, 593, 117, 849
• GCD of 665, 441, 414, 983

Given numbers are 238, 972, 626, 218
The greatest common divisor of numbers 238, 972, 626, 218 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 238, 972, 626, 218 is 2.

1. What is the GCD of 238, 972, 626, 218?

GCD of given numbers 238, 972, 626, 218 is 2

2. How to calculate the greatest common divisor of 238, 972, 626, 218?

We can find the highest common divisor of 238, 972, 626, 218 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, 972, 626, 218 i.e 2.

3. How can I use the GCD of 238, 972, 626, 218Calculator?

Out the numbers 238, 972, 626, 218 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.