GCD of 840, 705, 299, 822 Calculator

Given Input numbers are 840, 705, 299, 822

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

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 299 :

The positive integer divisors of 299 that completely divides 299 are.

1, 13, 23, 299

Divisors of 822 :

The positive integer divisors of 822 that completely divides 822 are.

1, 2, 3, 6, 137, 274, 411, 822

GCD of numbers is the greatest common divisor

So, the GCD (840, 705, 299, 822) = 1.

Given numbers are 840, 705, 299, 822

The list of prime factors of all numbers are

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 705 are 3 x 5 x 47

Prime factors of 299 are 13 x 23

Prime factors of 822 are 2 x 3 x 137

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 840, 705, 299, 822

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

Apply this formula for all numbers.

Step1:

LCM(840, 705) = 39480

GCD(840, 705) = ( 840 x 705 ) / 39480

= 840 / 705

= 840

Step2:

LCM(15, 299) = 4485

GCD(15, 299) = ( 15 x 299 ) / 4485

= 15 / 299

= 15

Step3:

LCM(1, 822) = 822

GCD(1, 822) = ( 1 x 822 ) / 822

= 1 / 822

= 1

So, Greatest Common Divisor of 840, 705, 299, 822 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 902, 310, 418, 608
• GCD of 688, 738, 132, 475
• GCD of 287, 208, 586, 217
• GCD of 477, 171, 376, 457
• GCD of 154, 184, 586, 798

Given numbers are 840, 705, 299, 822
The greatest common divisor of numbers 840, 705, 299, 822 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 705, 299, 822 is 1.

1. What is the GCD of 840, 705, 299, 822?

GCD of given numbers 840, 705, 299, 822 is 1

2. How to calculate the greatest common divisor of 840, 705, 299, 822?

We can find the highest common divisor of 840, 705, 299, 822 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 840, 705, 299, 822 i.e 1.

3. How can I use the GCD of 840, 705, 299, 822Calculator?

Out the numbers 840, 705, 299, 822 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.