GCD of 297, 120, 509, 645 Calculator

Given Input numbers are 297, 120, 509, 645

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 509 :

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

1, 509

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

GCD of numbers is the greatest common divisor

So, the GCD (297, 120, 509, 645) = 1.

Given numbers are 297, 120, 509, 645

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 509 are 509

Prime factors of 645 are 3 x 5 x 43

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

Given numbers are 297, 120, 509, 645

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

Apply this formula for all numbers.

Step1:

LCM(297, 120) = 11880

GCD(297, 120) = ( 297 x 120 ) / 11880

= 297 / 120

= 297

Step2:

LCM(3, 509) = 1527

GCD(3, 509) = ( 3 x 509 ) / 1527

= 3 / 509

= 3

Step3:

LCM(1, 645) = 645

GCD(1, 645) = ( 1 x 645 ) / 645

= 1 / 645

= 1

So, Greatest Common Divisor of 297, 120, 509, 645 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 563, 804, 812, 147
• GCD of 350, 190, 400, 300
• GCD of 394, 842, 536, 819
• GCD of 505, 609, 878, 377
• GCD of 193, 844, 904, 790

Given numbers are 297, 120, 509, 645
The greatest common divisor of numbers 297, 120, 509, 645 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 120, 509, 645 is 1.

1. What is the GCD of 297, 120, 509, 645?

GCD of given numbers 297, 120, 509, 645 is 1

2. How to calculate the greatest common divisor of 297, 120, 509, 645?

We can find the highest common divisor of 297, 120, 509, 645 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 297, 120, 509, 645 i.e 1.

3. How can I use the GCD of 297, 120, 509, 645Calculator?

Out the numbers 297, 120, 509, 645 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.