GCD of 782, 374, 696, 924 Calculator

Given Input numbers are 782, 374, 696, 924

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 374 :

The positive integer divisors of 374 that completely divides 374 are.

1, 2, 11, 17, 22, 34, 187, 374

Divisors of 696 :

The positive integer divisors of 696 that completely divides 696 are.

1, 2, 3, 4, 6, 8, 12, 24, 29, 58, 87, 116, 174, 232, 348, 696

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (782, 374, 696, 924) = 2.

Given numbers are 782, 374, 696, 924

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 374 are 2 x 11 x 17

Prime factors of 696 are 2 x 2 x 2 x 3 x 29

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 782, 374, 696, 924 is 2.

Given numbers are 782, 374, 696, 924

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

Apply this formula for all numbers.

Step1:

LCM(782, 374) = 8602

GCD(782, 374) = ( 782 x 374 ) / 8602

= 782 / 374

= 782

Step2:

LCM(34, 696) = 11832

GCD(34, 696) = ( 34 x 696 ) / 11832

= 34 / 696

= 34

Step3:

LCM(2, 924) = 924

GCD(2, 924) = ( 2 x 924 ) / 924

= 2 / 924

= 2

So, Greatest Common Divisor of 782, 374, 696, 924 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 494, 335, 986
• GCD of 869, 739, 330, 471
• GCD of 922, 439, 476, 219
• GCD of 481, 617, 608, 246
• GCD of 355, 239, 207, 711

Given numbers are 782, 374, 696, 924
The greatest common divisor of numbers 782, 374, 696, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 374, 696, 924 is 2.

1. What is the GCD of 782, 374, 696, 924?

GCD of given numbers 782, 374, 696, 924 is 2

2. How to calculate the greatest common divisor of 782, 374, 696, 924?

We can find the highest common divisor of 782, 374, 696, 924 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 782, 374, 696, 924 i.e 2.

3. How can I use the GCD of 782, 374, 696, 924Calculator?

Out the numbers 782, 374, 696, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.