GCD of 690, 801, 309, 966 Calculator

Given Input numbers are 690, 801, 309, 966

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

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 801 :

The positive integer divisors of 801 that completely divides 801 are.

1, 3, 9, 89, 267, 801

Divisors of 309 :

The positive integer divisors of 309 that completely divides 309 are.

1, 3, 103, 309

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

GCD of numbers is the greatest common divisor

So, the GCD (690, 801, 309, 966) = 3.

Given numbers are 690, 801, 309, 966

The list of prime factors of all numbers are

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 801 are 3 x 3 x 89

Prime factors of 309 are 3 x 103

Prime factors of 966 are 2 x 3 x 7 x 23

The highest common occurrence is 3¹

Therefore, GCD of 690, 801, 309, 966 is 3.

Given numbers are 690, 801, 309, 966

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

Apply this formula for all numbers.

Step1:

LCM(690, 801) = 184230

GCD(690, 801) = ( 690 x 801 ) / 184230

= 690 / 801

= 690

Step2:

LCM(3, 309) = 309

GCD(3, 309) = ( 3 x 309 ) / 309

= 3 / 309

= 3

Step3:

LCM(3, 966) = 966

GCD(3, 966) = ( 3 x 966 ) / 966

= 3 / 966

= 3

So, Greatest Common Divisor of 690, 801, 309, 966 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 908, 413, 456, 768
• GCD of 342, 101, 953, 663
• GCD of 115, 409, 282, 464
• GCD of 506, 889, 142, 817
• GCD of 842, 385, 473, 614

Given numbers are 690, 801, 309, 966
The greatest common divisor of numbers 690, 801, 309, 966 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 690, 801, 309, 966 is 3.

1. What is the GCD of 690, 801, 309, 966?

GCD of given numbers 690, 801, 309, 966 is 3

2. How to calculate the greatest common divisor of 690, 801, 309, 966?

We can find the highest common divisor of 690, 801, 309, 966 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 690, 801, 309, 966 i.e 3.

3. How can I use the GCD of 690, 801, 309, 966Calculator?

Out the numbers 690, 801, 309, 966 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.