GCD of 320, 528, 644, 542 Calculator

Given Input numbers are 320, 528, 644, 542

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

Divisors of 320 :

The positive integer divisors of 320 that completely divides 320 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

Divisors of 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

GCD of numbers is the greatest common divisor

So, the GCD (320, 528, 644, 542) = 2.

Given numbers are 320, 528, 644, 542

The list of prime factors of all numbers are

Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 644 are 2 x 2 x 7 x 23

Prime factors of 542 are 2 x 271

The highest common occurrence is 2¹

Therefore, GCD of 320, 528, 644, 542 is 2.

Given numbers are 320, 528, 644, 542

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

Apply this formula for all numbers.

Step1:

LCM(320, 528) = 10560

GCD(320, 528) = ( 320 x 528 ) / 10560

= 320 / 528

= 320

Step2:

LCM(16, 644) = 2576

GCD(16, 644) = ( 16 x 644 ) / 2576

= 16 / 644

= 16

Step3:

LCM(4, 542) = 1084

GCD(4, 542) = ( 4 x 542 ) / 1084

= 4 / 542

= 4

So, Greatest Common Divisor of 320, 528, 644, 542 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 841, 158, 381, 917
• GCD of 311, 141, 992, 283
• GCD of 876, 887, 404, 661
• GCD of 496, 370, 425, 450
• GCD of 721, 813, 135, 662

Given numbers are 320, 528, 644, 542
The greatest common divisor of numbers 320, 528, 644, 542 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 528, 644, 542 is 2.

1. What is the GCD of 320, 528, 644, 542?

GCD of given numbers 320, 528, 644, 542 is 2

2. How to calculate the greatest common divisor of 320, 528, 644, 542?

We can find the highest common divisor of 320, 528, 644, 542 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 320, 528, 644, 542 i.e 2.

3. How can I use the GCD of 320, 528, 644, 542Calculator?

Out the numbers 320, 528, 644, 542 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.