GCD of 460, 690, 330, 308 Calculator

Given Input numbers are 460, 690, 330, 308

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

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 330 :

The positive integer divisors of 330 that completely divides 330 are.

1, 2, 3, 5, 6, 10, 11, 15, 22, 30, 33, 55, 66, 110, 165, 330

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (460, 690, 330, 308) = 2.

Given numbers are 460, 690, 330, 308

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

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

Prime factors of 330 are 2 x 3 x 5 x 11

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 460, 690, 330, 308 is 2.

Given numbers are 460, 690, 330, 308

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

Apply this formula for all numbers.

Step1:

LCM(460, 690) = 1380

GCD(460, 690) = ( 460 x 690 ) / 1380

= 460 / 690

= 460

Step2:

LCM(230, 330) = 7590

GCD(230, 330) = ( 230 x 330 ) / 7590

= 230 / 330

= 230

Step3:

LCM(10, 308) = 1540

GCD(10, 308) = ( 10 x 308 ) / 1540

= 10 / 308

= 10

So, Greatest Common Divisor of 460, 690, 330, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 406, 420, 349, 264
• GCD of 230, 800, 823, 865
• GCD of 897, 455, 870, 271
• GCD of 381, 267, 204, 613
• GCD of 800, 677, 331, 987

Given numbers are 460, 690, 330, 308
The greatest common divisor of numbers 460, 690, 330, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 690, 330, 308 is 2.

1. What is the GCD of 460, 690, 330, 308?

GCD of given numbers 460, 690, 330, 308 is 2

2. How to calculate the greatest common divisor of 460, 690, 330, 308?

We can find the highest common divisor of 460, 690, 330, 308 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 460, 690, 330, 308 i.e 2.

3. How can I use the GCD of 460, 690, 330, 308Calculator?

Out the numbers 460, 690, 330, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.