GCD of 501, 978, 564, 960 Calculator

Given Input numbers are 501, 978, 564, 960

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

Divisors of 501 :

The positive integer divisors of 501 that completely divides 501 are.

1, 3, 167, 501

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (501, 978, 564, 960) = 3.

Given numbers are 501, 978, 564, 960

The list of prime factors of all numbers are

Prime factors of 501 are 3 x 167

Prime factors of 978 are 2 x 3 x 163

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

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 501, 978, 564, 960 is 3.

Given numbers are 501, 978, 564, 960

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

Apply this formula for all numbers.

Step1:

LCM(501, 978) = 163326

GCD(501, 978) = ( 501 x 978 ) / 163326

= 501 / 978

= 501

Step2:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 501, 978, 564, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 220, 124, 956
• GCD of 615, 660, 656, 236
• GCD of 625, 795, 538, 724
• GCD of 551, 272, 449, 588
• GCD of 475, 413, 724, 711

Given numbers are 501, 978, 564, 960
The greatest common divisor of numbers 501, 978, 564, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 978, 564, 960 is 3.

1. What is the GCD of 501, 978, 564, 960?

GCD of given numbers 501, 978, 564, 960 is 3

2. How to calculate the greatest common divisor of 501, 978, 564, 960?

We can find the highest common divisor of 501, 978, 564, 960 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 501, 978, 564, 960 i.e 3.

3. How can I use the GCD of 501, 978, 564, 960Calculator?

Out the numbers 501, 978, 564, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.