GCD of 732, 564, 522, 160 Calculator

Given Input numbers are 732, 564, 522, 160

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

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 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

GCD of numbers is the greatest common divisor

So, the GCD (732, 564, 522, 160) = 2.

Given numbers are 732, 564, 522, 160

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 564 are 2 x 2 x 3 x 47

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

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 732, 564, 522, 160 is 2.

Given numbers are 732, 564, 522, 160

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

Apply this formula for all numbers.

Step1:

LCM(732, 564) = 34404

GCD(732, 564) = ( 732 x 564 ) / 34404

= 732 / 564

= 732

Step2:

LCM(12, 522) = 1044

GCD(12, 522) = ( 12 x 522 ) / 1044

= 12 / 522

= 12

Step3:

LCM(6, 160) = 480

GCD(6, 160) = ( 6 x 160 ) / 480

= 6 / 160

= 6

So, Greatest Common Divisor of 732, 564, 522, 160 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 156, 845, 141
• GCD of 422, 126, 843, 129
• GCD of 789, 839, 408, 225
• GCD of 536, 453, 636, 199
• GCD of 673, 714, 497, 313

Given numbers are 732, 564, 522, 160
The greatest common divisor of numbers 732, 564, 522, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 564, 522, 160 is 2.

1. What is the GCD of 732, 564, 522, 160?

GCD of given numbers 732, 564, 522, 160 is 2

2. How to calculate the greatest common divisor of 732, 564, 522, 160?

We can find the highest common divisor of 732, 564, 522, 160 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 732, 564, 522, 160 i.e 2.

3. How can I use the GCD of 732, 564, 522, 160Calculator?

Out the numbers 732, 564, 522, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.