GCD of 336, 774, 568, 698 Calculator

Given Input numbers are 336, 774, 568, 698

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

Divisors of 336 :

The positive integer divisors of 336 that completely divides 336 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336

Divisors of 774 :

The positive integer divisors of 774 that completely divides 774 are.

1, 2, 3, 6, 9, 18, 43, 86, 129, 258, 387, 774

Divisors of 568 :

The positive integer divisors of 568 that completely divides 568 are.

1, 2, 4, 8, 71, 142, 284, 568

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 (336, 774, 568, 698) = 2.

Given numbers are 336, 774, 568, 698

The list of prime factors of all numbers are

Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7

Prime factors of 774 are 2 x 3 x 3 x 43

Prime factors of 568 are 2 x 2 x 2 x 71

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 336, 774, 568, 698 is 2.

Given numbers are 336, 774, 568, 698

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

Apply this formula for all numbers.

Step1:

LCM(336, 774) = 43344

GCD(336, 774) = ( 336 x 774 ) / 43344

= 336 / 774

= 336

Step2:

LCM(6, 568) = 1704

GCD(6, 568) = ( 6 x 568 ) / 1704

= 6 / 568

= 6

Step3:

LCM(2, 698) = 698

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

= 2 / 698

= 2

So, Greatest Common Divisor of 336, 774, 568, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 480, 334, 797, 585
• GCD of 553, 634, 661, 500
• GCD of 157, 627, 684, 764
• GCD of 906, 541, 251, 375
• GCD of 174, 402, 438, 810

Given numbers are 336, 774, 568, 698
The greatest common divisor of numbers 336, 774, 568, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 774, 568, 698 is 2.

1. What is the GCD of 336, 774, 568, 698?

GCD of given numbers 336, 774, 568, 698 is 2

2. How to calculate the greatest common divisor of 336, 774, 568, 698?

We can find the highest common divisor of 336, 774, 568, 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 336, 774, 568, 698 i.e 2.

3. How can I use the GCD of 336, 774, 568, 698Calculator?

Out the numbers 336, 774, 568, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.