GCD of 574, 238, 582, 698 Calculator

Given Input numbers are 574, 238, 582, 698

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 238 :

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

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

Divisors of 582 :

The positive integer divisors of 582 that completely divides 582 are.

1, 2, 3, 6, 97, 194, 291, 582

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (574, 238, 582, 698) = 2.

Given numbers are 574, 238, 582, 698

The list of prime factors of all numbers are

Prime factors of 574 are 2 x 7 x 41

Prime factors of 238 are 2 x 7 x 17

Prime factors of 582 are 2 x 3 x 97

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 574, 238, 582, 698 is 2.

Given numbers are 574, 238, 582, 698

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

Apply this formula for all numbers.

Step1:

LCM(574, 238) = 9758

GCD(574, 238) = ( 574 x 238 ) / 9758

= 574 / 238

= 574

Step2:

LCM(14, 582) = 4074

GCD(14, 582) = ( 14 x 582 ) / 4074

= 14 / 582

= 14

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 574, 238, 582, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 807, 440, 828, 461
• GCD of 755, 901, 847, 449
• GCD of 881, 500, 643, 882
• GCD of 168, 306, 912, 887
• GCD of 268, 927, 353, 308

Given numbers are 574, 238, 582, 698
The greatest common divisor of numbers 574, 238, 582, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 574, 238, 582, 698 is 2.

1. What is the GCD of 574, 238, 582, 698?

GCD of given numbers 574, 238, 582, 698 is 2

2. How to calculate the greatest common divisor of 574, 238, 582, 698?

We can find the highest common divisor of 574, 238, 582, 698 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, 238, 582, 698 i.e 2.

3. How can I use the GCD of 574, 238, 582, 698Calculator?

Out the numbers 574, 238, 582, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.