GCD of 279, 470, 450, 690 Calculator

Given Input numbers are 279, 470, 450, 690

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

Divisors of 279 :

The positive integer divisors of 279 that completely divides 279 are.

1, 3, 9, 31, 93, 279

Divisors of 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

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 (279, 470, 450, 690) = 1.

Given numbers are 279, 470, 450, 690

The list of prime factors of all numbers are

Prime factors of 279 are 3 x 3 x 31

Prime factors of 470 are 2 x 5 x 47

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 279, 470, 450, 690

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

Apply this formula for all numbers.

Step1:

LCM(279, 470) = 131130

GCD(279, 470) = ( 279 x 470 ) / 131130

= 279 / 470

= 279

Step2:

LCM(1, 450) = 450

GCD(1, 450) = ( 1 x 450 ) / 450

= 1 / 450

= 1

Step3:

LCM(1, 690) = 690

GCD(1, 690) = ( 1 x 690 ) / 690

= 1 / 690

= 1

So, Greatest Common Divisor of 279, 470, 450, 690 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 562, 179, 505, 953
• GCD of 496, 351, 666, 652
• GCD of 350, 986, 571, 558
• GCD of 790, 736, 820, 964
• GCD of 911, 328, 594, 691

Given numbers are 279, 470, 450, 690
The greatest common divisor of numbers 279, 470, 450, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 470, 450, 690 is 1.

1. What is the GCD of 279, 470, 450, 690?

GCD of given numbers 279, 470, 450, 690 is 1

2. How to calculate the greatest common divisor of 279, 470, 450, 690?

We can find the highest common divisor of 279, 470, 450, 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 279, 470, 450, 690 i.e 1.

3. How can I use the GCD of 279, 470, 450, 690Calculator?

Out the numbers 279, 470, 450, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.