GCD of 522, 753, 240, 221 Calculator

Given Input numbers are 522, 753, 240, 221

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

Divisors of 522 :

The positive integer divisors of 522 that completely divides 522 are.

1, 2, 3, 6, 9, 18, 29, 58, 87, 174, 261, 522

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (522, 753, 240, 221) = 1.

Given numbers are 522, 753, 240, 221

The list of prime factors of all numbers are

Prime factors of 522 are 2 x 3 x 3 x 29

Prime factors of 753 are 3 x 251

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 221 are 13 x 17

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

Given numbers are 522, 753, 240, 221

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

Apply this formula for all numbers.

Step1:

LCM(522, 753) = 131022

GCD(522, 753) = ( 522 x 753 ) / 131022

= 522 / 753

= 522

Step2:

LCM(3, 240) = 240

GCD(3, 240) = ( 3 x 240 ) / 240

= 3 / 240

= 3

Step3:

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

= 3 / 221

= 3

So, Greatest Common Divisor of 522, 753, 240, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 782, 565, 560, 155
• GCD of 761, 628, 121, 166
• GCD of 823, 476, 557, 500
• GCD of 844, 317, 575, 150
• GCD of 263, 159, 635, 152

Given numbers are 522, 753, 240, 221
The greatest common divisor of numbers 522, 753, 240, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 753, 240, 221 is 1.

1. What is the GCD of 522, 753, 240, 221?

GCD of given numbers 522, 753, 240, 221 is 1

2. How to calculate the greatest common divisor of 522, 753, 240, 221?

We can find the highest common divisor of 522, 753, 240, 221 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 522, 753, 240, 221 i.e 1.

3. How can I use the GCD of 522, 753, 240, 221Calculator?

Out the numbers 522, 753, 240, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.