GCD of 480, 674, 31, 301 Calculator

Given Input numbers are 480, 674, 31, 301

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 674 :

The positive integer divisors of 674 that completely divides 674 are.

1, 2, 337, 674

Divisors of 31 :

The positive integer divisors of 31 that completely divides 31 are.

1, 31

Divisors of 301 :

The positive integer divisors of 301 that completely divides 301 are.

1, 7, 43, 301

GCD of numbers is the greatest common divisor

So, the GCD (480, 674, 31, 301) = 1.

Given numbers are 480, 674, 31, 301

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 674 are 2 x 337

Prime factors of 31 are 31

Prime factors of 301 are 7 x 43

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

Given numbers are 480, 674, 31, 301

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

Apply this formula for all numbers.

Step1:

LCM(480, 674) = 161760

GCD(480, 674) = ( 480 x 674 ) / 161760

= 480 / 674

= 480

Step2:

LCM(2, 31) = 62

GCD(2, 31) = ( 2 x 31 ) / 62

= 2 / 31

= 2

Step3:

LCM(1, 301) = 301

GCD(1, 301) = ( 1 x 301 ) / 301

= 1 / 301

= 1

So, Greatest Common Divisor of 480, 674, 31, 301 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 587, 279, 31, 823
• GCD of 546, 204, 87, 943
• GCD of 952, 452, 45, 989
• GCD of 439, 848, 66, 451
• GCD of 545, 791, 27, 341

Given numbers are 480, 674, 31, 301
The greatest common divisor of numbers 480, 674, 31, 301 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 480, 674, 31, 301 is 1.

1. What is the GCD of 480, 674, 31, 301?

GCD of given numbers 480, 674, 31, 301 is 1

2. How to calculate the greatest common divisor of 480, 674, 31, 301?

We can find the highest common divisor of 480, 674, 31, 301 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, 674, 31, 301 i.e 1.

3. How can I use the GCD of 480, 674, 31, 301Calculator?

Out the numbers 480, 674, 31, 301 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.