GCD of 662, 614, 300, 676 Calculator

Given Input numbers are 662, 614, 300, 676

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

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 676 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (662, 614, 300, 676) = 2.

Given numbers are 662, 614, 300, 676

The list of prime factors of all numbers are

Prime factors of 662 are 2 x 331

Prime factors of 614 are 2 x 307

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 662, 614, 300, 676 is 2.

Given numbers are 662, 614, 300, 676

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

Apply this formula for all numbers.

Step1:

LCM(662, 614) = 203234

GCD(662, 614) = ( 662 x 614 ) / 203234

= 662 / 614

= 662

Step2:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

Step3:

LCM(2, 676) = 676

GCD(2, 676) = ( 2 x 676 ) / 676

= 2 / 676

= 2

So, Greatest Common Divisor of 662, 614, 300, 676 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 743, 732, 358, 932
• GCD of 238, 752, 962, 575
• GCD of 200, 574, 332, 951
• GCD of 451, 920, 359, 497
• GCD of 870, 458, 433, 820

Given numbers are 662, 614, 300, 676
The greatest common divisor of numbers 662, 614, 300, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 662, 614, 300, 676 is 2.

1. What is the GCD of 662, 614, 300, 676?

GCD of given numbers 662, 614, 300, 676 is 2

2. How to calculate the greatest common divisor of 662, 614, 300, 676?

We can find the highest common divisor of 662, 614, 300, 676 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 662, 614, 300, 676 i.e 2.

3. How can I use the GCD of 662, 614, 300, 676Calculator?

Out the numbers 662, 614, 300, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.