GCD of 900, 690, 223, 314 Calculator

Given Input numbers are 900, 690, 223, 314

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

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 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

GCD of numbers is the greatest common divisor

So, the GCD (900, 690, 223, 314) = 1.

Given numbers are 900, 690, 223, 314

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

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

Prime factors of 223 are 223

Prime factors of 314 are 2 x 157

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

Given numbers are 900, 690, 223, 314

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

Apply this formula for all numbers.

Step1:

LCM(900, 690) = 20700

GCD(900, 690) = ( 900 x 690 ) / 20700

= 900 / 690

= 900

Step2:

LCM(30, 223) = 6690

GCD(30, 223) = ( 30 x 223 ) / 6690

= 30 / 223

= 30

Step3:

LCM(1, 314) = 314

GCD(1, 314) = ( 1 x 314 ) / 314

= 1 / 314

= 1

So, Greatest Common Divisor of 900, 690, 223, 314 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 613, 797, 550, 700
• GCD of 604, 391, 805, 402
• GCD of 497, 830, 152, 180
• GCD of 970, 285, 229, 750
• GCD of 159, 785, 668, 798

Given numbers are 900, 690, 223, 314
The greatest common divisor of numbers 900, 690, 223, 314 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 690, 223, 314 is 1.

1. What is the GCD of 900, 690, 223, 314?

GCD of given numbers 900, 690, 223, 314 is 1

2. How to calculate the greatest common divisor of 900, 690, 223, 314?

We can find the highest common divisor of 900, 690, 223, 314 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 900, 690, 223, 314 i.e 1.

3. How can I use the GCD of 900, 690, 223, 314Calculator?

Out the numbers 900, 690, 223, 314 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.