GCD of 509, 628, 971, 304 Calculator

Given Input numbers are 509, 628, 971, 304

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

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 628 :

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

1, 2, 4, 157, 314, 628

Divisors of 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 304 :

The positive integer divisors of 304 that completely divides 304 are.

1, 2, 4, 8, 16, 19, 38, 76, 152, 304

GCD of numbers is the greatest common divisor

So, the GCD (509, 628, 971, 304) = 1.

Given numbers are 509, 628, 971, 304

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 628 are 2 x 2 x 157

Prime factors of 971 are 971

Prime factors of 304 are 2 x 2 x 2 x 2 x 19

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

Given numbers are 509, 628, 971, 304

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

Apply this formula for all numbers.

Step1:

LCM(509, 628) = 319652

GCD(509, 628) = ( 509 x 628 ) / 319652

= 509 / 628

= 509

Step2:

LCM(1, 971) = 971

GCD(1, 971) = ( 1 x 971 ) / 971

= 1 / 971

= 1

Step3:

LCM(1, 304) = 304

GCD(1, 304) = ( 1 x 304 ) / 304

= 1 / 304

= 1

So, Greatest Common Divisor of 509, 628, 971, 304 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 887, 628, 431, 174
• GCD of 144, 622, 904, 446
• GCD of 102, 129, 902, 524
• GCD of 345, 995, 784, 343
• GCD of 748, 956, 846, 884

Given numbers are 509, 628, 971, 304
The greatest common divisor of numbers 509, 628, 971, 304 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 628, 971, 304 is 1.

1. What is the GCD of 509, 628, 971, 304?

GCD of given numbers 509, 628, 971, 304 is 1

2. How to calculate the greatest common divisor of 509, 628, 971, 304?

We can find the highest common divisor of 509, 628, 971, 304 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 509, 628, 971, 304 i.e 1.

3. How can I use the GCD of 509, 628, 971, 304Calculator?

Out the numbers 509, 628, 971, 304 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.