GCD of 909, 264, 702, 690 Calculator

Given Input numbers are 909, 264, 702, 690

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

Divisors of 909 :

The positive integer divisors of 909 that completely divides 909 are.

1, 3, 9, 101, 303, 909

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

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

GCD of numbers is the greatest common divisor

So, the GCD (909, 264, 702, 690) = 3.

Given numbers are 909, 264, 702, 690

The list of prime factors of all numbers are

Prime factors of 909 are 3 x 3 x 101

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

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

The highest common occurrence is 3¹

Therefore, GCD of 909, 264, 702, 690 is 3.

Given numbers are 909, 264, 702, 690

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

Apply this formula for all numbers.

Step1:

LCM(909, 264) = 79992

GCD(909, 264) = ( 909 x 264 ) / 79992

= 909 / 264

= 909

Step2:

LCM(3, 702) = 702

GCD(3, 702) = ( 3 x 702 ) / 702

= 3 / 702

= 3

Step3:

LCM(3, 690) = 690

GCD(3, 690) = ( 3 x 690 ) / 690

= 3 / 690

= 3

So, Greatest Common Divisor of 909, 264, 702, 690 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 769, 369, 160, 804
• GCD of 940, 612, 827, 633
• GCD of 156, 853, 355, 633
• GCD of 265, 357, 601, 165
• GCD of 987, 910, 545, 636

Given numbers are 909, 264, 702, 690
The greatest common divisor of numbers 909, 264, 702, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 909, 264, 702, 690 is 3.

1. What is the GCD of 909, 264, 702, 690?

GCD of given numbers 909, 264, 702, 690 is 3

2. How to calculate the greatest common divisor of 909, 264, 702, 690?

We can find the highest common divisor of 909, 264, 702, 690 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 909, 264, 702, 690 i.e 3.

3. How can I use the GCD of 909, 264, 702, 690Calculator?

Out the numbers 909, 264, 702, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.