GCD of 628, 296, 706, 510 Calculator

Given Input numbers are 628, 296, 706, 510

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

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 296 :

The positive integer divisors of 296 that completely divides 296 are.

1, 2, 4, 8, 37, 74, 148, 296

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

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

GCD of numbers is the greatest common divisor

So, the GCD (628, 296, 706, 510) = 2.

Given numbers are 628, 296, 706, 510

The list of prime factors of all numbers are

Prime factors of 628 are 2 x 2 x 157

Prime factors of 296 are 2 x 2 x 2 x 37

Prime factors of 706 are 2 x 353

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

The highest common occurrence is 2¹

Therefore, GCD of 628, 296, 706, 510 is 2.

Given numbers are 628, 296, 706, 510

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

Apply this formula for all numbers.

Step1:

LCM(628, 296) = 46472

GCD(628, 296) = ( 628 x 296 ) / 46472

= 628 / 296

= 628

Step2:

LCM(4, 706) = 1412

GCD(4, 706) = ( 4 x 706 ) / 1412

= 4 / 706

= 4

Step3:

LCM(2, 510) = 510

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

= 2 / 510

= 2

So, Greatest Common Divisor of 628, 296, 706, 510 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 223, 803, 507, 695
• GCD of 458, 462, 847, 863
• GCD of 731, 654, 397, 810
• GCD of 523, 138, 352, 688
• GCD of 918, 311, 527, 577

Given numbers are 628, 296, 706, 510
The greatest common divisor of numbers 628, 296, 706, 510 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 296, 706, 510 is 2.

1. What is the GCD of 628, 296, 706, 510?

GCD of given numbers 628, 296, 706, 510 is 2

2. How to calculate the greatest common divisor of 628, 296, 706, 510?

We can find the highest common divisor of 628, 296, 706, 510 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 628, 296, 706, 510 i.e 2.

3. How can I use the GCD of 628, 296, 706, 510Calculator?

Out the numbers 628, 296, 706, 510 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.