GCD of 574, 972, 660, 238 Calculator

Given Input numbers are 574, 972, 660, 238

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

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

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 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

Divisors of 238 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (574, 972, 660, 238) = 2.

Given numbers are 574, 972, 660, 238

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

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

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 574, 972, 660, 238 is 2.

Given numbers are 574, 972, 660, 238

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

Apply this formula for all numbers.

Step1:

LCM(574, 972) = 278964

GCD(574, 972) = ( 574 x 972 ) / 278964

= 574 / 972

= 574

Step2:

LCM(2, 660) = 660

GCD(2, 660) = ( 2 x 660 ) / 660

= 2 / 660

= 2

Step3:

LCM(2, 238) = 238

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

= 2 / 238

= 2

So, Greatest Common Divisor of 574, 972, 660, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 875, 337, 503
• GCD of 150, 240, 630, 812
• GCD of 418, 998, 688, 552
• GCD of 226, 153, 710, 795
• GCD of 562, 502, 236, 378

Given numbers are 574, 972, 660, 238
The greatest common divisor of numbers 574, 972, 660, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 972, 660, 238 is 2.

1. What is the GCD of 574, 972, 660, 238?

GCD of given numbers 574, 972, 660, 238 is 2

2. How to calculate the greatest common divisor of 574, 972, 660, 238?

We can find the highest common divisor of 574, 972, 660, 238 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 574, 972, 660, 238 i.e 2.

3. How can I use the GCD of 574, 972, 660, 238Calculator?

Out the numbers 574, 972, 660, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.