GCD of 308, 322, 780, 362 Calculator

Given Input numbers are 308, 322, 780, 362

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

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 322 :

The positive integer divisors of 322 that completely divides 322 are.

1, 2, 7, 14, 23, 46, 161, 322

Divisors of 780 :

The positive integer divisors of 780 that completely divides 780 are.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 52, 60, 65, 78, 130, 156, 195, 260, 390, 780

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

GCD of numbers is the greatest common divisor

So, the GCD (308, 322, 780, 362) = 2.

Given numbers are 308, 322, 780, 362

The list of prime factors of all numbers are

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

Prime factors of 322 are 2 x 7 x 23

Prime factors of 780 are 2 x 2 x 3 x 5 x 13

Prime factors of 362 are 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 308, 322, 780, 362 is 2.

Given numbers are 308, 322, 780, 362

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

Apply this formula for all numbers.

Step1:

LCM(308, 322) = 7084

GCD(308, 322) = ( 308 x 322 ) / 7084

= 308 / 322

= 308

Step2:

LCM(14, 780) = 5460

GCD(14, 780) = ( 14 x 780 ) / 5460

= 14 / 780

= 14

Step3:

LCM(2, 362) = 362

GCD(2, 362) = ( 2 x 362 ) / 362

= 2 / 362

= 2

So, Greatest Common Divisor of 308, 322, 780, 362 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 889, 282, 735
• GCD of 916, 741, 719, 287
• GCD of 373, 544, 110, 273
• GCD of 156, 482, 361, 827
• GCD of 283, 634, 611, 469

Given numbers are 308, 322, 780, 362
The greatest common divisor of numbers 308, 322, 780, 362 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 322, 780, 362 is 2.

1. What is the GCD of 308, 322, 780, 362?

GCD of given numbers 308, 322, 780, 362 is 2

2. How to calculate the greatest common divisor of 308, 322, 780, 362?

We can find the highest common divisor of 308, 322, 780, 362 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 308, 322, 780, 362 i.e 2.

3. How can I use the GCD of 308, 322, 780, 362Calculator?

Out the numbers 308, 322, 780, 362 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.