GCD of 509, 748, 201, 297 Calculator

Given Input numbers are 509, 748, 201, 297

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 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 201 :

The positive integer divisors of 201 that completely divides 201 are.

1, 3, 67, 201

Divisors of 297 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (509, 748, 201, 297) = 1.

Given numbers are 509, 748, 201, 297

The list of prime factors of all numbers are

Prime factors of 509 are 509

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 201 are 3 x 67

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

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

Given numbers are 509, 748, 201, 297

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

Apply this formula for all numbers.

Step1:

LCM(509, 748) = 380732

GCD(509, 748) = ( 509 x 748 ) / 380732

= 509 / 748

= 509

Step2:

LCM(1, 201) = 201

GCD(1, 201) = ( 1 x 201 ) / 201

= 1 / 201

= 1

Step3:

LCM(1, 297) = 297

GCD(1, 297) = ( 1 x 297 ) / 297

= 1 / 297

= 1

So, Greatest Common Divisor of 509, 748, 201, 297 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 493, 544, 798, 449
• GCD of 390, 273, 890, 775
• GCD of 676, 726, 537, 107
• GCD of 844, 986, 611, 291
• GCD of 333, 967, 797, 259

Given numbers are 509, 748, 201, 297
The greatest common divisor of numbers 509, 748, 201, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 509, 748, 201, 297 is 1.

1. What is the GCD of 509, 748, 201, 297?

GCD of given numbers 509, 748, 201, 297 is 1

2. How to calculate the greatest common divisor of 509, 748, 201, 297?

We can find the highest common divisor of 509, 748, 201, 297 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, 748, 201, 297 i.e 1.

3. How can I use the GCD of 509, 748, 201, 297Calculator?

Out the numbers 509, 748, 201, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.