GCD of 398, 264, 178, 562 Calculator

Given Input numbers are 398, 264, 178, 562

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (398, 264, 178, 562) = 2.

Given numbers are 398, 264, 178, 562

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 178 are 2 x 89

Prime factors of 562 are 2 x 281

The highest common occurrence is 2¹

Therefore, GCD of 398, 264, 178, 562 is 2.

Given numbers are 398, 264, 178, 562

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

Apply this formula for all numbers.

Step1:

LCM(398, 264) = 52536

GCD(398, 264) = ( 398 x 264 ) / 52536

= 398 / 264

= 398

Step2:

LCM(2, 178) = 178

GCD(2, 178) = ( 2 x 178 ) / 178

= 2 / 178

= 2

Step3:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2

So, Greatest Common Divisor of 398, 264, 178, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 942, 687, 721, 404
• GCD of 233, 686, 866, 261
• GCD of 228, 854, 534, 266
• GCD of 698, 511, 880, 870
• GCD of 451, 174, 374, 531

Given numbers are 398, 264, 178, 562
The greatest common divisor of numbers 398, 264, 178, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 264, 178, 562 is 2.

1. What is the GCD of 398, 264, 178, 562?

GCD of given numbers 398, 264, 178, 562 is 2

2. How to calculate the greatest common divisor of 398, 264, 178, 562?

We can find the highest common divisor of 398, 264, 178, 562 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 398, 264, 178, 562 i.e 2.

3. How can I use the GCD of 398, 264, 178, 562Calculator?

Out the numbers 398, 264, 178, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.