GCD of 528, 102, 78, 320 Calculator

Given Input numbers are 528, 102, 78, 320

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

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 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 78 :

The positive integer divisors of 78 that completely divides 78 are.

1, 2, 3, 6, 13, 26, 39, 78

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

GCD of numbers is the greatest common divisor

So, the GCD (528, 102, 78, 320) = 2.

Given numbers are 528, 102, 78, 320

The list of prime factors of all numbers are

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

Prime factors of 102 are 2 x 3 x 17

Prime factors of 78 are 2 x 3 x 13

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

The highest common occurrence is 2¹

Therefore, GCD of 528, 102, 78, 320 is 2.

Given numbers are 528, 102, 78, 320

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

Apply this formula for all numbers.

Step1:

LCM(528, 102) = 8976

GCD(528, 102) = ( 528 x 102 ) / 8976

= 528 / 102

= 528

Step2:

LCM(6, 78) = 78

GCD(6, 78) = ( 6 x 78 ) / 78

= 6 / 78

= 6

Step3:

LCM(6, 320) = 960

GCD(6, 320) = ( 6 x 320 ) / 960

= 6 / 320

= 6

So, Greatest Common Divisor of 528, 102, 78, 320 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 770, 972, 73, 571
• GCD of 784, 720, 58, 456
• GCD of 204, 557, 95, 791
• GCD of 265, 744, 74, 655
• GCD of 648, 724, 36, 226

Given numbers are 528, 102, 78, 320
The greatest common divisor of numbers 528, 102, 78, 320 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 528, 102, 78, 320 is 2.

1. What is the GCD of 528, 102, 78, 320?

GCD of given numbers 528, 102, 78, 320 is 2

2. How to calculate the greatest common divisor of 528, 102, 78, 320?

We can find the highest common divisor of 528, 102, 78, 320 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 528, 102, 78, 320 i.e 2.

3. How can I use the GCD of 528, 102, 78, 320Calculator?

Out the numbers 528, 102, 78, 320 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.