GCD of 840, 822, 741, 282 Calculator

Given Input numbers are 840, 822, 741, 282

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 822 :

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

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

Divisors of 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

GCD of numbers is the greatest common divisor

So, the GCD (840, 822, 741, 282) = 3.

Given numbers are 840, 822, 741, 282

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 822 are 2 x 3 x 137

Prime factors of 741 are 3 x 13 x 19

Prime factors of 282 are 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 840, 822, 741, 282 is 3.

Given numbers are 840, 822, 741, 282

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

Apply this formula for all numbers.

Step1:

LCM(840, 822) = 115080

GCD(840, 822) = ( 840 x 822 ) / 115080

= 840 / 822

= 840

Step2:

LCM(6, 741) = 1482

GCD(6, 741) = ( 6 x 741 ) / 1482

= 6 / 741

= 6

Step3:

LCM(3, 282) = 282

GCD(3, 282) = ( 3 x 282 ) / 282

= 3 / 282

= 3

So, Greatest Common Divisor of 840, 822, 741, 282 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 216, 721, 882, 767
• GCD of 577, 454, 649, 589
• GCD of 398, 902, 404, 650
• GCD of 993, 766, 283, 752
• GCD of 376, 665, 723, 662

Given numbers are 840, 822, 741, 282
The greatest common divisor of numbers 840, 822, 741, 282 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 840, 822, 741, 282 is 3.

1. What is the GCD of 840, 822, 741, 282?

GCD of given numbers 840, 822, 741, 282 is 3

2. How to calculate the greatest common divisor of 840, 822, 741, 282?

We can find the highest common divisor of 840, 822, 741, 282 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, 822, 741, 282 i.e 3.

3. How can I use the GCD of 840, 822, 741, 282Calculator?

Out the numbers 840, 822, 741, 282 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.