GCD of 362, 772, 834, 986 Calculator

Given Input numbers are 362, 772, 834, 986

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

Divisors of 362 :

The positive integer divisors of 362 that completely divides 362 are.

1, 2, 181, 362

Divisors of 772 :

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

1, 2, 4, 193, 386, 772

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (362, 772, 834, 986) = 2.

Given numbers are 362, 772, 834, 986

The list of prime factors of all numbers are

Prime factors of 362 are 2 x 181

Prime factors of 772 are 2 x 2 x 193

Prime factors of 834 are 2 x 3 x 139

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 362, 772, 834, 986 is 2.

Given numbers are 362, 772, 834, 986

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

Apply this formula for all numbers.

Step1:

LCM(362, 772) = 139732

GCD(362, 772) = ( 362 x 772 ) / 139732

= 362 / 772

= 362

Step2:

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

= 2 / 834

= 2

Step3:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 362, 772, 834, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 724, 170, 790, 791
• GCD of 226, 158, 514, 842
• GCD of 937, 191, 617, 538
• GCD of 986, 308, 194, 186
• GCD of 434, 539, 113, 887

Given numbers are 362, 772, 834, 986
The greatest common divisor of numbers 362, 772, 834, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 362, 772, 834, 986 is 2.

1. What is the GCD of 362, 772, 834, 986?

GCD of given numbers 362, 772, 834, 986 is 2

2. How to calculate the greatest common divisor of 362, 772, 834, 986?

We can find the highest common divisor of 362, 772, 834, 986 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 362, 772, 834, 986 i.e 2.

3. How can I use the GCD of 362, 772, 834, 986Calculator?

Out the numbers 362, 772, 834, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.