GCD of 996, 906, 345, 705 Calculator

Given Input numbers are 996, 906, 345, 705

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

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

Divisors of 906 :

The positive integer divisors of 906 that completely divides 906 are.

1, 2, 3, 6, 151, 302, 453, 906

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 705 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (996, 906, 345, 705) = 3.

Given numbers are 996, 906, 345, 705

The list of prime factors of all numbers are

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

Prime factors of 906 are 2 x 3 x 151

Prime factors of 345 are 3 x 5 x 23

Prime factors of 705 are 3 x 5 x 47

The highest common occurrence is 3¹

Therefore, GCD of 996, 906, 345, 705 is 3.

Given numbers are 996, 906, 345, 705

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

Apply this formula for all numbers.

Step1:

LCM(996, 906) = 150396

GCD(996, 906) = ( 996 x 906 ) / 150396

= 996 / 906

= 996

Step2:

LCM(6, 345) = 690

GCD(6, 345) = ( 6 x 345 ) / 690

= 6 / 345

= 6

Step3:

LCM(3, 705) = 705

GCD(3, 705) = ( 3 x 705 ) / 705

= 3 / 705

= 3

So, Greatest Common Divisor of 996, 906, 345, 705 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 607, 266, 449, 679
• GCD of 346, 518, 484, 791
• GCD of 723, 873, 158, 829
• GCD of 430, 433, 339, 170
• GCD of 589, 754, 140, 720

Given numbers are 996, 906, 345, 705
The greatest common divisor of numbers 996, 906, 345, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 996, 906, 345, 705 is 3.

1. What is the GCD of 996, 906, 345, 705?

GCD of given numbers 996, 906, 345, 705 is 3

2. How to calculate the greatest common divisor of 996, 906, 345, 705?

We can find the highest common divisor of 996, 906, 345, 705 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 996, 906, 345, 705 i.e 3.

3. How can I use the GCD of 996, 906, 345, 705Calculator?

Out the numbers 996, 906, 345, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.