GCD of 766, 814, 22, 690 Calculator

Given Input numbers are 766, 814, 22, 690

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

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 814 :

The positive integer divisors of 814 that completely divides 814 are.

1, 2, 11, 22, 37, 74, 407, 814

Divisors of 22 :

The positive integer divisors of 22 that completely divides 22 are.

1, 2, 11, 22

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 (766, 814, 22, 690) = 2.

Given numbers are 766, 814, 22, 690

The list of prime factors of all numbers are

Prime factors of 766 are 2 x 383

Prime factors of 814 are 2 x 11 x 37

Prime factors of 22 are 2 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 766, 814, 22, 690 is 2.

Given numbers are 766, 814, 22, 690

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

Apply this formula for all numbers.

Step1:

LCM(766, 814) = 311762

GCD(766, 814) = ( 766 x 814 ) / 311762

= 766 / 814

= 766

Step2:

LCM(2, 22) = 22

GCD(2, 22) = ( 2 x 22 ) / 22

= 2 / 22

= 2

Step3:

LCM(2, 690) = 690

GCD(2, 690) = ( 2 x 690 ) / 690

= 2 / 690

= 2

So, Greatest Common Divisor of 766, 814, 22, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 790, 46, 268
• GCD of 479, 429, 16, 617
• GCD of 769, 364, 55, 437
• GCD of 868, 894, 25, 457
• GCD of 376, 180, 66, 782

Given numbers are 766, 814, 22, 690
The greatest common divisor of numbers 766, 814, 22, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 814, 22, 690 is 2.

1. What is the GCD of 766, 814, 22, 690?

GCD of given numbers 766, 814, 22, 690 is 2

2. How to calculate the greatest common divisor of 766, 814, 22, 690?

We can find the highest common divisor of 766, 814, 22, 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 766, 814, 22, 690 i.e 2.

3. How can I use the GCD of 766, 814, 22, 690Calculator?

Out the numbers 766, 814, 22, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.