GCD of 345, 480, 31, 298 Calculator

Given Input numbers are 345, 480, 31, 298

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 31 :

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

1, 31

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (345, 480, 31, 298) = 1.

Given numbers are 345, 480, 31, 298

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 31 are 31

Prime factors of 298 are 2 x 149

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

Given numbers are 345, 480, 31, 298

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

Apply this formula for all numbers.

Step1:

LCM(345, 480) = 11040

GCD(345, 480) = ( 345 x 480 ) / 11040

= 345 / 480

= 345

Step2:

LCM(15, 31) = 465

GCD(15, 31) = ( 15 x 31 ) / 465

= 15 / 31

= 15

Step3:

LCM(1, 298) = 298

GCD(1, 298) = ( 1 x 298 ) / 298

= 1 / 298

= 1

So, Greatest Common Divisor of 345, 480, 31, 298 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 869, 417, 14, 811
• GCD of 140, 551, 19, 833
• GCD of 360, 974, 17, 856
• GCD of 734, 881, 95, 618
• GCD of 419, 976, 28, 127

Given numbers are 345, 480, 31, 298
The greatest common divisor of numbers 345, 480, 31, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 480, 31, 298 is 1.

1. What is the GCD of 345, 480, 31, 298?

GCD of given numbers 345, 480, 31, 298 is 1

2. How to calculate the greatest common divisor of 345, 480, 31, 298?

We can find the highest common divisor of 345, 480, 31, 298 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 345, 480, 31, 298 i.e 1.

3. How can I use the GCD of 345, 480, 31, 298Calculator?

Out the numbers 345, 480, 31, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.