GCD of 398, 784, 598, 358 Calculator

Given Input numbers are 398, 784, 598, 358

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 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 598 :

The positive integer divisors of 598 that completely divides 598 are.

1, 2, 13, 23, 26, 46, 299, 598

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

GCD of numbers is the greatest common divisor

So, the GCD (398, 784, 598, 358) = 2.

Given numbers are 398, 784, 598, 358

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 598 are 2 x 13 x 23

Prime factors of 358 are 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 398, 784, 598, 358 is 2.

Given numbers are 398, 784, 598, 358

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

Apply this formula for all numbers.

Step1:

LCM(398, 784) = 156016

GCD(398, 784) = ( 398 x 784 ) / 156016

= 398 / 784

= 398

Step2:

LCM(2, 598) = 598

GCD(2, 598) = ( 2 x 598 ) / 598

= 2 / 598

= 2

Step3:

LCM(2, 358) = 358

GCD(2, 358) = ( 2 x 358 ) / 358

= 2 / 358

= 2

So, Greatest Common Divisor of 398, 784, 598, 358 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 834, 249, 788, 584
• GCD of 693, 952, 113, 902
• GCD of 494, 932, 158, 517
• GCD of 983, 631, 171, 521
• GCD of 417, 603, 446, 118

Given numbers are 398, 784, 598, 358
The greatest common divisor of numbers 398, 784, 598, 358 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 784, 598, 358 is 2.

1. What is the GCD of 398, 784, 598, 358?

GCD of given numbers 398, 784, 598, 358 is 2

2. How to calculate the greatest common divisor of 398, 784, 598, 358?

We can find the highest common divisor of 398, 784, 598, 358 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, 784, 598, 358 i.e 2.

3. How can I use the GCD of 398, 784, 598, 358Calculator?

Out the numbers 398, 784, 598, 358 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.