GCD of 676, 608, 282, 630 Calculator

Given Input numbers are 676, 608, 282, 630

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

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

Divisors of 282 :

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

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

Divisors of 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

GCD of numbers is the greatest common divisor

So, the GCD (676, 608, 282, 630) = 2.

Given numbers are 676, 608, 282, 630

The list of prime factors of all numbers are

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

Prime factors of 282 are 2 x 3 x 47

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 676, 608, 282, 630 is 2.

Given numbers are 676, 608, 282, 630

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

Apply this formula for all numbers.

Step1:

LCM(676, 608) = 102752

GCD(676, 608) = ( 676 x 608 ) / 102752

= 676 / 608

= 676

Step2:

LCM(4, 282) = 564

GCD(4, 282) = ( 4 x 282 ) / 564

= 4 / 282

= 4

Step3:

LCM(2, 630) = 630

GCD(2, 630) = ( 2 x 630 ) / 630

= 2 / 630

= 2

So, Greatest Common Divisor of 676, 608, 282, 630 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 707, 545, 164, 133
• GCD of 982, 440, 550, 592
• GCD of 120, 938, 952, 302
• GCD of 520, 350, 230, 194
• GCD of 369, 348, 915, 665

Given numbers are 676, 608, 282, 630
The greatest common divisor of numbers 676, 608, 282, 630 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 608, 282, 630 is 2.

1. What is the GCD of 676, 608, 282, 630?

GCD of given numbers 676, 608, 282, 630 is 2

2. How to calculate the greatest common divisor of 676, 608, 282, 630?

We can find the highest common divisor of 676, 608, 282, 630 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 676, 608, 282, 630 i.e 2.

3. How can I use the GCD of 676, 608, 282, 630Calculator?

Out the numbers 676, 608, 282, 630 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.