GCD of 345, 584, 628, 280 Calculator

Given Input numbers are 345, 584, 628, 280

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 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (345, 584, 628, 280) = 1.

Given numbers are 345, 584, 628, 280

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 628 are 2 x 2 x 157

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 345, 584, 628, 280

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

Apply this formula for all numbers.

Step1:

LCM(345, 584) = 201480

GCD(345, 584) = ( 345 x 584 ) / 201480

= 345 / 584

= 345

Step2:

LCM(1, 628) = 628

GCD(1, 628) = ( 1 x 628 ) / 628

= 1 / 628

= 1

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 345, 584, 628, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 372, 403, 315, 218
• GCD of 712, 595, 571, 301
• GCD of 496, 564, 638, 787
• GCD of 165, 943, 663, 967
• GCD of 772, 221, 115, 274

Given numbers are 345, 584, 628, 280
The greatest common divisor of numbers 345, 584, 628, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 584, 628, 280 is 1.

1. What is the GCD of 345, 584, 628, 280?

GCD of given numbers 345, 584, 628, 280 is 1

2. How to calculate the greatest common divisor of 345, 584, 628, 280?

We can find the highest common divisor of 345, 584, 628, 280 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, 584, 628, 280 i.e 1.

3. How can I use the GCD of 345, 584, 628, 280Calculator?

Out the numbers 345, 584, 628, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.