GCD of 369, 849, 795, 996 Calculator

Given Input numbers are 369, 849, 795, 996

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 849 :

The positive integer divisors of 849 that completely divides 849 are.

1, 3, 283, 849

Divisors of 795 :

The positive integer divisors of 795 that completely divides 795 are.

1, 3, 5, 15, 53, 159, 265, 795

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

GCD of numbers is the greatest common divisor

So, the GCD (369, 849, 795, 996) = 3.

Given numbers are 369, 849, 795, 996

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 849 are 3 x 283

Prime factors of 795 are 3 x 5 x 53

Prime factors of 996 are 2 x 2 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 369, 849, 795, 996 is 3.

Given numbers are 369, 849, 795, 996

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

Apply this formula for all numbers.

Step1:

LCM(369, 849) = 104427

GCD(369, 849) = ( 369 x 849 ) / 104427

= 369 / 849

= 369

Step2:

LCM(3, 795) = 795

GCD(3, 795) = ( 3 x 795 ) / 795

= 3 / 795

= 3

Step3:

LCM(3, 996) = 996

GCD(3, 996) = ( 3 x 996 ) / 996

= 3 / 996

= 3

So, Greatest Common Divisor of 369, 849, 795, 996 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 872, 518, 401, 993
• GCD of 694, 916, 863, 391
• GCD of 867, 525, 111, 368
• GCD of 373, 946, 980, 603
• GCD of 619, 134, 972, 138

Given numbers are 369, 849, 795, 996
The greatest common divisor of numbers 369, 849, 795, 996 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 849, 795, 996 is 3.

1. What is the GCD of 369, 849, 795, 996?

GCD of given numbers 369, 849, 795, 996 is 3

2. How to calculate the greatest common divisor of 369, 849, 795, 996?

We can find the highest common divisor of 369, 849, 795, 996 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 369, 849, 795, 996 i.e 3.

3. How can I use the GCD of 369, 849, 795, 996Calculator?

Out the numbers 369, 849, 795, 996 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.