GCD of 282, 842, 398, 772 Calculator

Given Input numbers are 282, 842, 398, 772

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

Divisors of 282 :

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

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 772 :

The positive integer divisors of 772 that completely divides 772 are.

1, 2, 4, 193, 386, 772

GCD of numbers is the greatest common divisor

So, the GCD (282, 842, 398, 772) = 2.

Given numbers are 282, 842, 398, 772

The list of prime factors of all numbers are

Prime factors of 282 are 2 x 3 x 47

Prime factors of 842 are 2 x 421

Prime factors of 398 are 2 x 199

Prime factors of 772 are 2 x 2 x 193

The highest common occurrence is 2¹

Therefore, GCD of 282, 842, 398, 772 is 2.

Given numbers are 282, 842, 398, 772

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

Apply this formula for all numbers.

Step1:

LCM(282, 842) = 118722

GCD(282, 842) = ( 282 x 842 ) / 118722

= 282 / 842

= 282

Step2:

LCM(2, 398) = 398

GCD(2, 398) = ( 2 x 398 ) / 398

= 2 / 398

= 2

Step3:

LCM(2, 772) = 772

GCD(2, 772) = ( 2 x 772 ) / 772

= 2 / 772

= 2

So, Greatest Common Divisor of 282, 842, 398, 772 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 993, 712, 789, 328
• GCD of 778, 560, 494, 438
• GCD of 119, 495, 492, 637
• GCD of 777, 794, 107, 342
• GCD of 378, 407, 511, 585

Given numbers are 282, 842, 398, 772
The greatest common divisor of numbers 282, 842, 398, 772 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 282, 842, 398, 772 is 2.

1. What is the GCD of 282, 842, 398, 772?

GCD of given numbers 282, 842, 398, 772 is 2

2. How to calculate the greatest common divisor of 282, 842, 398, 772?

We can find the highest common divisor of 282, 842, 398, 772 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 282, 842, 398, 772 i.e 2.

3. How can I use the GCD of 282, 842, 398, 772Calculator?

Out the numbers 282, 842, 398, 772 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.