GCD of 699, 402, 90, 309 Calculator

Given Input numbers are 699, 402, 90, 309

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

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 90 :

The positive integer divisors of 90 that completely divides 90 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 309 :

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

1, 3, 103, 309

GCD of numbers is the greatest common divisor

So, the GCD (699, 402, 90, 309) = 3.

Given numbers are 699, 402, 90, 309

The list of prime factors of all numbers are

Prime factors of 699 are 3 x 233

Prime factors of 402 are 2 x 3 x 67

Prime factors of 90 are 2 x 3 x 3 x 5

Prime factors of 309 are 3 x 103

The highest common occurrence is 3¹

Therefore, GCD of 699, 402, 90, 309 is 3.

Given numbers are 699, 402, 90, 309

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

Apply this formula for all numbers.

Step1:

LCM(699, 402) = 93666

GCD(699, 402) = ( 699 x 402 ) / 93666

= 699 / 402

= 699

Step2:

LCM(3, 90) = 90

GCD(3, 90) = ( 3 x 90 ) / 90

= 3 / 90

= 3

Step3:

LCM(3, 309) = 309

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

= 3 / 309

= 3

So, Greatest Common Divisor of 699, 402, 90, 309 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 664, 184, 51, 872
• GCD of 422, 308, 99, 268
• GCD of 198, 472, 69, 861
• GCD of 176, 935, 27, 407
• GCD of 755, 203, 27, 326

Given numbers are 699, 402, 90, 309
The greatest common divisor of numbers 699, 402, 90, 309 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 402, 90, 309 is 3.

1. What is the GCD of 699, 402, 90, 309?

GCD of given numbers 699, 402, 90, 309 is 3

2. How to calculate the greatest common divisor of 699, 402, 90, 309?

We can find the highest common divisor of 699, 402, 90, 309 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 699, 402, 90, 309 i.e 3.

3. How can I use the GCD of 699, 402, 90, 309Calculator?

Out the numbers 699, 402, 90, 309 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.