GCD of 390, 282, 970, 688 Calculator

Given Input numbers are 390, 282, 970, 688

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

GCD of numbers is the greatest common divisor

So, the GCD (390, 282, 970, 688) = 2.

Given numbers are 390, 282, 970, 688

The list of prime factors of all numbers are

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 282 are 2 x 3 x 47

Prime factors of 970 are 2 x 5 x 97

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

The highest common occurrence is 2¹

Therefore, GCD of 390, 282, 970, 688 is 2.

Given numbers are 390, 282, 970, 688

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

Apply this formula for all numbers.

Step1:

LCM(390, 282) = 18330

GCD(390, 282) = ( 390 x 282 ) / 18330

= 390 / 282

= 390

Step2:

LCM(6, 970) = 2910

GCD(6, 970) = ( 6 x 970 ) / 2910

= 6 / 970

= 6

Step3:

LCM(2, 688) = 688

GCD(2, 688) = ( 2 x 688 ) / 688

= 2 / 688

= 2

So, Greatest Common Divisor of 390, 282, 970, 688 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 772, 695, 180, 420
• GCD of 138, 790, 893, 239
• GCD of 107, 347, 422, 727
• GCD of 984, 734, 199, 767
• GCD of 803, 136, 431, 235

Given numbers are 390, 282, 970, 688
The greatest common divisor of numbers 390, 282, 970, 688 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 390, 282, 970, 688 is 2.

1. What is the GCD of 390, 282, 970, 688?

GCD of given numbers 390, 282, 970, 688 is 2

2. How to calculate the greatest common divisor of 390, 282, 970, 688?

We can find the highest common divisor of 390, 282, 970, 688 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 390, 282, 970, 688 i.e 2.

3. How can I use the GCD of 390, 282, 970, 688Calculator?

Out the numbers 390, 282, 970, 688 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.