GCD of 396, 340, 684, 702 Calculator

Given Input numbers are 396, 340, 684, 702

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

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (396, 340, 684, 702) = 2.

Given numbers are 396, 340, 684, 702

The list of prime factors of all numbers are

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 396, 340, 684, 702 is 2.

Given numbers are 396, 340, 684, 702

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

Apply this formula for all numbers.

Step1:

LCM(396, 340) = 33660

GCD(396, 340) = ( 396 x 340 ) / 33660

= 396 / 340

= 396

Step2:

LCM(4, 684) = 684

GCD(4, 684) = ( 4 x 684 ) / 684

= 4 / 684

= 4

Step3:

LCM(4, 702) = 1404

GCD(4, 702) = ( 4 x 702 ) / 1404

= 4 / 702

= 4

So, Greatest Common Divisor of 396, 340, 684, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 556, 741, 959
• GCD of 800, 523, 268, 169
• GCD of 402, 739, 501, 399
• GCD of 658, 174, 455, 847
• GCD of 298, 435, 396, 289

Given numbers are 396, 340, 684, 702
The greatest common divisor of numbers 396, 340, 684, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 340, 684, 702 is 2.

1. What is the GCD of 396, 340, 684, 702?

GCD of given numbers 396, 340, 684, 702 is 2

2. How to calculate the greatest common divisor of 396, 340, 684, 702?

We can find the highest common divisor of 396, 340, 684, 702 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 396, 340, 684, 702 i.e 2.

3. How can I use the GCD of 396, 340, 684, 702Calculator?

Out the numbers 396, 340, 684, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.