GCD of 564, 140, 480, 502 Calculator

Given Input numbers are 564, 140, 480, 502

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

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 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 480 :

The positive integer divisors of 480 that completely divides 480 are.

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

Divisors of 502 :

The positive integer divisors of 502 that completely divides 502 are.

1, 2, 251, 502

GCD of numbers is the greatest common divisor

So, the GCD (564, 140, 480, 502) = 2.

Given numbers are 564, 140, 480, 502

The list of prime factors of all numbers are

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

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 502 are 2 x 251

The highest common occurrence is 2¹

Therefore, GCD of 564, 140, 480, 502 is 2.

Given numbers are 564, 140, 480, 502

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

Apply this formula for all numbers.

Step1:

LCM(564, 140) = 19740

GCD(564, 140) = ( 564 x 140 ) / 19740

= 564 / 140

= 564

Step2:

LCM(4, 480) = 480

GCD(4, 480) = ( 4 x 480 ) / 480

= 4 / 480

= 4

Step3:

LCM(4, 502) = 1004

GCD(4, 502) = ( 4 x 502 ) / 1004

= 4 / 502

= 4

So, Greatest Common Divisor of 564, 140, 480, 502 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 654, 737, 280, 271
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• GCD of 171, 769, 389, 877
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• GCD of 445, 457, 670, 785

Given numbers are 564, 140, 480, 502
The greatest common divisor of numbers 564, 140, 480, 502 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 140, 480, 502 is 2.

1. What is the GCD of 564, 140, 480, 502?

GCD of given numbers 564, 140, 480, 502 is 2

2. How to calculate the greatest common divisor of 564, 140, 480, 502?

We can find the highest common divisor of 564, 140, 480, 502 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 564, 140, 480, 502 i.e 2.

3. How can I use the GCD of 564, 140, 480, 502Calculator?

Out the numbers 564, 140, 480, 502 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.