GCD of 802, 924, 782, 318 Calculator

Given Input numbers are 802, 924, 782, 318

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

Divisors of 802 :

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

1, 2, 401, 802

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

Divisors of 782 :

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

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

Divisors of 318 :

The positive integer divisors of 318 that completely divides 318 are.

1, 2, 3, 6, 53, 106, 159, 318

GCD of numbers is the greatest common divisor

So, the GCD (802, 924, 782, 318) = 2.

Given numbers are 802, 924, 782, 318

The list of prime factors of all numbers are

Prime factors of 802 are 2 x 401

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

Prime factors of 782 are 2 x 17 x 23

Prime factors of 318 are 2 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 802, 924, 782, 318 is 2.

Given numbers are 802, 924, 782, 318

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

Apply this formula for all numbers.

Step1:

LCM(802, 924) = 370524

GCD(802, 924) = ( 802 x 924 ) / 370524

= 802 / 924

= 802

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 318) = 318

GCD(2, 318) = ( 2 x 318 ) / 318

= 2 / 318

= 2

So, Greatest Common Divisor of 802, 924, 782, 318 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 237, 876, 930, 980
• GCD of 614, 721, 738, 948
• GCD of 857, 392, 211, 387
• GCD of 836, 464, 623, 880
• GCD of 415, 600, 359, 524

Given numbers are 802, 924, 782, 318
The greatest common divisor of numbers 802, 924, 782, 318 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 802, 924, 782, 318 is 2.

1. What is the GCD of 802, 924, 782, 318?

GCD of given numbers 802, 924, 782, 318 is 2

2. How to calculate the greatest common divisor of 802, 924, 782, 318?

We can find the highest common divisor of 802, 924, 782, 318 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 802, 924, 782, 318 i.e 2.

3. How can I use the GCD of 802, 924, 782, 318Calculator?

Out the numbers 802, 924, 782, 318 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.