GCD of 480, 279, 146, 174 Calculator

Given Input numbers are 480, 279, 146, 174

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

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 279 :

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

1, 3, 9, 31, 93, 279

Divisors of 146 :

The positive integer divisors of 146 that completely divides 146 are.

1, 2, 73, 146

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

GCD of numbers is the greatest common divisor

So, the GCD (480, 279, 146, 174) = 1.

Given numbers are 480, 279, 146, 174

The list of prime factors of all numbers are

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 279 are 3 x 3 x 31

Prime factors of 146 are 2 x 73

Prime factors of 174 are 2 x 3 x 29

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

Given numbers are 480, 279, 146, 174

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

Apply this formula for all numbers.

Step1:

LCM(480, 279) = 44640

GCD(480, 279) = ( 480 x 279 ) / 44640

= 480 / 279

= 480

Step2:

LCM(3, 146) = 438

GCD(3, 146) = ( 3 x 146 ) / 438

= 3 / 146

= 3

Step3:

LCM(1, 174) = 174

GCD(1, 174) = ( 1 x 174 ) / 174

= 1 / 174

= 1

So, Greatest Common Divisor of 480, 279, 146, 174 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 740, 843, 996, 770
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Given numbers are 480, 279, 146, 174
The greatest common divisor of numbers 480, 279, 146, 174 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 279, 146, 174 is 1.

1. What is the GCD of 480, 279, 146, 174?

GCD of given numbers 480, 279, 146, 174 is 1

2. How to calculate the greatest common divisor of 480, 279, 146, 174?

We can find the highest common divisor of 480, 279, 146, 174 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 480, 279, 146, 174 i.e 1.

3. How can I use the GCD of 480, 279, 146, 174Calculator?

Out the numbers 480, 279, 146, 174 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.