GCD of 598, 116, 224, 338 Calculator

Given Input numbers are 598, 116, 224, 338

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

Divisors of 598 :

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

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

Divisors of 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 224 :

The positive integer divisors of 224 that completely divides 224 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

GCD of numbers is the greatest common divisor

So, the GCD (598, 116, 224, 338) = 2.

Given numbers are 598, 116, 224, 338

The list of prime factors of all numbers are

Prime factors of 598 are 2 x 13 x 23

Prime factors of 116 are 2 x 2 x 29

Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 338 are 2 x 13 x 13

The highest common occurrence is 2¹

Therefore, GCD of 598, 116, 224, 338 is 2.

Given numbers are 598, 116, 224, 338

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

Apply this formula for all numbers.

Step1:

LCM(598, 116) = 34684

GCD(598, 116) = ( 598 x 116 ) / 34684

= 598 / 116

= 598

Step2:

LCM(2, 224) = 224

GCD(2, 224) = ( 2 x 224 ) / 224

= 2 / 224

= 2

Step3:

LCM(2, 338) = 338

GCD(2, 338) = ( 2 x 338 ) / 338

= 2 / 338

= 2

So, Greatest Common Divisor of 598, 116, 224, 338 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 249, 794, 390, 860
• GCD of 720, 103, 355, 510
• GCD of 556, 783, 150, 415
• GCD of 825, 543, 865, 549
• GCD of 340, 741, 695, 414

Given numbers are 598, 116, 224, 338
The greatest common divisor of numbers 598, 116, 224, 338 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 598, 116, 224, 338 is 2.

1. What is the GCD of 598, 116, 224, 338?

GCD of given numbers 598, 116, 224, 338 is 2

2. How to calculate the greatest common divisor of 598, 116, 224, 338?

We can find the highest common divisor of 598, 116, 224, 338 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 598, 116, 224, 338 i.e 2.

3. How can I use the GCD of 598, 116, 224, 338Calculator?

Out the numbers 598, 116, 224, 338 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.