GCD of 698, 162, 354, 238 Calculator

Given Input numbers are 698, 162, 354, 238

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

Divisors of 698 :

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

1, 2, 349, 698

Divisors of 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

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 (698, 162, 354, 238) = 2.

Given numbers are 698, 162, 354, 238

The list of prime factors of all numbers are

Prime factors of 698 are 2 x 349

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

Prime factors of 354 are 2 x 3 x 59

Prime factors of 238 are 2 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 698, 162, 354, 238 is 2.

Given numbers are 698, 162, 354, 238

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

Apply this formula for all numbers.

Step1:

LCM(698, 162) = 56538

GCD(698, 162) = ( 698 x 162 ) / 56538

= 698 / 162

= 698

Step2:

LCM(2, 354) = 354

GCD(2, 354) = ( 2 x 354 ) / 354

= 2 / 354

= 2

Step3:

LCM(2, 238) = 238

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

= 2 / 238

= 2

So, Greatest Common Divisor of 698, 162, 354, 238 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 377, 612, 197, 434
• GCD of 880, 180, 391, 234
• GCD of 448, 165, 604, 557
• GCD of 480, 405, 384, 327
• GCD of 783, 261, 136, 514

Given numbers are 698, 162, 354, 238
The greatest common divisor of numbers 698, 162, 354, 238 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 698, 162, 354, 238 is 2.

1. What is the GCD of 698, 162, 354, 238?

GCD of given numbers 698, 162, 354, 238 is 2

2. How to calculate the greatest common divisor of 698, 162, 354, 238?

We can find the highest common divisor of 698, 162, 354, 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 698, 162, 354, 238 i.e 2.

3. How can I use the GCD of 698, 162, 354, 238Calculator?

Out the numbers 698, 162, 354, 238 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.