GCD of 306, 360, 62, 826 Calculator

Given Input numbers are 306, 360, 62, 826

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

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 62 :

The positive integer divisors of 62 that completely divides 62 are.

1, 2, 31, 62

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

GCD of numbers is the greatest common divisor

So, the GCD (306, 360, 62, 826) = 2.

Given numbers are 306, 360, 62, 826

The list of prime factors of all numbers are

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 62 are 2 x 31

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 306, 360, 62, 826 is 2.

Given numbers are 306, 360, 62, 826

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

Apply this formula for all numbers.

Step1:

LCM(306, 360) = 6120

GCD(306, 360) = ( 306 x 360 ) / 6120

= 306 / 360

= 306

Step2:

LCM(18, 62) = 558

GCD(18, 62) = ( 18 x 62 ) / 558

= 18 / 62

= 18

Step3:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

So, Greatest Common Divisor of 306, 360, 62, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 322, 362, 49, 534
• GCD of 297, 642, 79, 359
• GCD of 883, 680, 78, 244
• GCD of 497, 892, 34, 876
• GCD of 318, 114, 15, 510

Given numbers are 306, 360, 62, 826
The greatest common divisor of numbers 306, 360, 62, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 306, 360, 62, 826 is 2.

1. What is the GCD of 306, 360, 62, 826?

GCD of given numbers 306, 360, 62, 826 is 2

2. How to calculate the greatest common divisor of 306, 360, 62, 826?

We can find the highest common divisor of 306, 360, 62, 826 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 306, 360, 62, 826 i.e 2.

3. How can I use the GCD of 306, 360, 62, 826Calculator?

Out the numbers 306, 360, 62, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.