GCD of 970, 308, 510, 396 Calculator

Given Input numbers are 970, 308, 510, 396

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

Divisors of 970 :

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

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

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

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

GCD of numbers is the greatest common divisor

So, the GCD (970, 308, 510, 396) = 2.

Given numbers are 970, 308, 510, 396

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 308 are 2 x 2 x 7 x 11

Prime factors of 510 are 2 x 3 x 5 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 970, 308, 510, 396 is 2.

Given numbers are 970, 308, 510, 396

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

Apply this formula for all numbers.

Step1:

LCM(970, 308) = 149380

GCD(970, 308) = ( 970 x 308 ) / 149380

= 970 / 308

= 970

Step2:

LCM(2, 510) = 510

GCD(2, 510) = ( 2 x 510 ) / 510

= 2 / 510

= 2

Step3:

LCM(2, 396) = 396

GCD(2, 396) = ( 2 x 396 ) / 396

= 2 / 396

= 2

So, Greatest Common Divisor of 970, 308, 510, 396 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 824, 858, 393, 386
• GCD of 285, 511, 558, 585
• GCD of 161, 765, 675, 992
• GCD of 434, 879, 886, 627
• GCD of 288, 914, 205, 880

Given numbers are 970, 308, 510, 396
The greatest common divisor of numbers 970, 308, 510, 396 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 308, 510, 396 is 2.

1. What is the GCD of 970, 308, 510, 396?

GCD of given numbers 970, 308, 510, 396 is 2

2. How to calculate the greatest common divisor of 970, 308, 510, 396?

We can find the highest common divisor of 970, 308, 510, 396 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 970, 308, 510, 396 i.e 2.

3. How can I use the GCD of 970, 308, 510, 396Calculator?

Out the numbers 970, 308, 510, 396 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.