GCD of 814, 408, 760, 690 Calculator

Given Input numbers are 814, 408, 760, 690

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

Divisors of 814 :

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

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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 (814, 408, 760, 690) = 2.

Given numbers are 814, 408, 760, 690

The list of prime factors of all numbers are

Prime factors of 814 are 2 x 11 x 37

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 814, 408, 760, 690 is 2.

Given numbers are 814, 408, 760, 690

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

Apply this formula for all numbers.

Step1:

LCM(814, 408) = 166056

GCD(814, 408) = ( 814 x 408 ) / 166056

= 814 / 408

= 814

Step2:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

Step3:

LCM(2, 690) = 690

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

= 2 / 690

= 2

So, Greatest Common Divisor of 814, 408, 760, 690 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 285, 251, 975
• GCD of 476, 158, 554, 566
• GCD of 979, 690, 652, 215
• GCD of 857, 665, 513, 802
• GCD of 454, 405, 948, 928

Given numbers are 814, 408, 760, 690
The greatest common divisor of numbers 814, 408, 760, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 814, 408, 760, 690 is 2.

1. What is the GCD of 814, 408, 760, 690?

GCD of given numbers 814, 408, 760, 690 is 2

2. How to calculate the greatest common divisor of 814, 408, 760, 690?

We can find the highest common divisor of 814, 408, 760, 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 814, 408, 760, 690 i.e 2.

3. How can I use the GCD of 814, 408, 760, 690Calculator?

Out the numbers 814, 408, 760, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.