GCD of 226, 690, 360, 973 Calculator

Given Input numbers are 226, 690, 360, 973

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

Divisors of 226 :

The positive integer divisors of 226 that completely divides 226 are.

1, 2, 113, 226

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

GCD of numbers is the greatest common divisor

So, the GCD (226, 690, 360, 973) = 1.

Given numbers are 226, 690, 360, 973

The list of prime factors of all numbers are

Prime factors of 226 are 2 x 113

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 973 are 7 x 139

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

Given numbers are 226, 690, 360, 973

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

Apply this formula for all numbers.

Step1:

LCM(226, 690) = 77970

GCD(226, 690) = ( 226 x 690 ) / 77970

= 226 / 690

= 226

Step2:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

Step3:

LCM(2, 973) = 1946

GCD(2, 973) = ( 2 x 973 ) / 1946

= 2 / 973

= 2

So, Greatest Common Divisor of 226, 690, 360, 973 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 214, 808, 143
• GCD of 662, 977, 431, 674
• GCD of 125, 260, 944, 206
• GCD of 573, 147, 857, 143
• GCD of 833, 196, 357, 695

Given numbers are 226, 690, 360, 973
The greatest common divisor of numbers 226, 690, 360, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 226, 690, 360, 973 is 1.

1. What is the GCD of 226, 690, 360, 973?

GCD of given numbers 226, 690, 360, 973 is 1

2. How to calculate the greatest common divisor of 226, 690, 360, 973?

We can find the highest common divisor of 226, 690, 360, 973 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 226, 690, 360, 973 i.e 1.

3. How can I use the GCD of 226, 690, 360, 973Calculator?

Out the numbers 226, 690, 360, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.