GCD of 688, 282, 390, 970 Calculator

Given Input numbers are 688, 282, 390, 970

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

Divisors of 688 :

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

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

Divisors of 282 :

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

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

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 970 :

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

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

GCD of numbers is the greatest common divisor

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

Given numbers are 688, 282, 390, 970

The list of prime factors of all numbers are

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

Prime factors of 282 are 2 x 3 x 47

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

Prime factors of 970 are 2 x 5 x 97

The highest common occurrence is 2¹

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

Given numbers are 688, 282, 390, 970

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

Apply this formula for all numbers.

Step1:

LCM(688, 282) = 97008

GCD(688, 282) = ( 688 x 282 ) / 97008

= 688 / 282

= 688

Step2:

LCM(2, 390) = 390

GCD(2, 390) = ( 2 x 390 ) / 390

= 2 / 390

= 2

Step3:

LCM(2, 970) = 970

GCD(2, 970) = ( 2 x 970 ) / 970

= 2 / 970

= 2

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

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 130, 204, 709
• GCD of 484, 716, 427, 955
• GCD of 282, 769, 137, 488
• GCD of 642, 531, 147, 970
• GCD of 197, 216, 349, 279

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

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

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

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

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

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

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