GCD of 362, 802, 744, 780 Calculator

Given Input numbers are 362, 802, 744, 780

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 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

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

GCD of numbers is the greatest common divisor

So, the GCD (362, 802, 744, 780) = 2.

Given numbers are 362, 802, 744, 780

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 802 are 2 x 401

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

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

The highest common occurrence is 2¹

Therefore, GCD of 362, 802, 744, 780 is 2.

Given numbers are 362, 802, 744, 780

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

Apply this formula for all numbers.

Step1:

LCM(362, 802) = 145162

GCD(362, 802) = ( 362 x 802 ) / 145162

= 362 / 802

= 362

Step2:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

Step3:

LCM(2, 780) = 780

GCD(2, 780) = ( 2 x 780 ) / 780

= 2 / 780

= 2

So, Greatest Common Divisor of 362, 802, 744, 780 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 418, 151, 123, 437
• GCD of 827, 965, 140, 849
• GCD of 282, 606, 859, 778
• GCD of 733, 299, 147, 308
• GCD of 508, 333, 450, 631

Given numbers are 362, 802, 744, 780
The greatest common divisor of numbers 362, 802, 744, 780 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 802, 744, 780 is 2.

1. What is the GCD of 362, 802, 744, 780?

GCD of given numbers 362, 802, 744, 780 is 2

2. How to calculate the greatest common divisor of 362, 802, 744, 780?

We can find the highest common divisor of 362, 802, 744, 780 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, 802, 744, 780 i.e 2.

3. How can I use the GCD of 362, 802, 744, 780Calculator?

Out the numbers 362, 802, 744, 780 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.