GCD of 362, 780, 420, 944 Calculator

Given Input numbers are 362, 780, 420, 944

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

Divisors of 362 :

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

1, 2, 181, 362

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

GCD of numbers is the greatest common divisor

So, the GCD (362, 780, 420, 944) = 2.

Given numbers are 362, 780, 420, 944

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 362, 780, 420, 944 is 2.

Given numbers are 362, 780, 420, 944

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

Apply this formula for all numbers.

Step1:

LCM(362, 780) = 141180

GCD(362, 780) = ( 362 x 780 ) / 141180

= 362 / 780

= 362

Step2:

LCM(2, 420) = 420

GCD(2, 420) = ( 2 x 420 ) / 420

= 2 / 420

= 2

Step3:

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

= 2 / 944

= 2

So, Greatest Common Divisor of 362, 780, 420, 944 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 123, 112, 407, 645
• GCD of 222, 839, 658, 424
• GCD of 135, 843, 736, 101
• GCD of 237, 382, 910, 526
• GCD of 664, 256, 932, 661

Given numbers are 362, 780, 420, 944
The greatest common divisor of numbers 362, 780, 420, 944 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 780, 420, 944 is 2.

1. What is the GCD of 362, 780, 420, 944?

GCD of given numbers 362, 780, 420, 944 is 2

2. How to calculate the greatest common divisor of 362, 780, 420, 944?

We can find the highest common divisor of 362, 780, 420, 944 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 362, 780, 420, 944 i.e 2.

3. How can I use the GCD of 362, 780, 420, 944Calculator?

Out the numbers 362, 780, 420, 944 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.