GCD of 460, 154, 314, 180 Calculator

Given Input numbers are 460, 154, 314, 180

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 154 :

The positive integer divisors of 154 that completely divides 154 are.

1, 2, 7, 11, 14, 22, 77, 154

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

GCD of numbers is the greatest common divisor

So, the GCD (460, 154, 314, 180) = 2.

Given numbers are 460, 154, 314, 180

The list of prime factors of all numbers are

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

Prime factors of 154 are 2 x 7 x 11

Prime factors of 314 are 2 x 157

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 460, 154, 314, 180 is 2.

Given numbers are 460, 154, 314, 180

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

Apply this formula for all numbers.

Step1:

LCM(460, 154) = 35420

GCD(460, 154) = ( 460 x 154 ) / 35420

= 460 / 154

= 460

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 180) = 180

GCD(2, 180) = ( 2 x 180 ) / 180

= 2 / 180

= 2

So, Greatest Common Divisor of 460, 154, 314, 180 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 566, 602, 257, 525
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• GCD of 745, 985, 402, 324

Given numbers are 460, 154, 314, 180
The greatest common divisor of numbers 460, 154, 314, 180 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 154, 314, 180 is 2.

1. What is the GCD of 460, 154, 314, 180?

GCD of given numbers 460, 154, 314, 180 is 2

2. How to calculate the greatest common divisor of 460, 154, 314, 180?

We can find the highest common divisor of 460, 154, 314, 180 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, 154, 314, 180 i.e 2.

3. How can I use the GCD of 460, 154, 314, 180Calculator?

Out the numbers 460, 154, 314, 180 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.