GCD of 522, 722, 648, 356 Calculator

Given Input numbers are 522, 722, 648, 356

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 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 356 :

The positive integer divisors of 356 that completely divides 356 are.

1, 2, 4, 89, 178, 356

GCD of numbers is the greatest common divisor

So, the GCD (522, 722, 648, 356) = 2.

Given numbers are 522, 722, 648, 356

The list of prime factors of all numbers are

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

Prime factors of 722 are 2 x 19 x 19

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 356 are 2 x 2 x 89

The highest common occurrence is 2¹

Therefore, GCD of 522, 722, 648, 356 is 2.

Given numbers are 522, 722, 648, 356

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

Apply this formula for all numbers.

Step1:

LCM(522, 722) = 188442

GCD(522, 722) = ( 522 x 722 ) / 188442

= 522 / 722

= 522

Step2:

LCM(2, 648) = 648

GCD(2, 648) = ( 2 x 648 ) / 648

= 2 / 648

= 2

Step3:

LCM(2, 356) = 356

GCD(2, 356) = ( 2 x 356 ) / 356

= 2 / 356

= 2

So, Greatest Common Divisor of 522, 722, 648, 356 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 597, 213, 315
• GCD of 580, 212, 799, 676
• GCD of 741, 112, 775, 565
• GCD of 891, 670, 369, 423
• GCD of 602, 286, 467, 391

Given numbers are 522, 722, 648, 356
The greatest common divisor of numbers 522, 722, 648, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 522, 722, 648, 356 is 2.

1. What is the GCD of 522, 722, 648, 356?

GCD of given numbers 522, 722, 648, 356 is 2

2. How to calculate the greatest common divisor of 522, 722, 648, 356?

We can find the highest common divisor of 522, 722, 648, 356 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, 722, 648, 356 i.e 2.

3. How can I use the GCD of 522, 722, 648, 356Calculator?

Out the numbers 522, 722, 648, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.