GCD of 524, 708, 178, 564 Calculator

Given Input numbers are 524, 708, 178, 564

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

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 178 :

The positive integer divisors of 178 that completely divides 178 are.

1, 2, 89, 178

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

GCD of numbers is the greatest common divisor

So, the GCD (524, 708, 178, 564) = 2.

Given numbers are 524, 708, 178, 564

The list of prime factors of all numbers are

Prime factors of 524 are 2 x 2 x 131

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 178 are 2 x 89

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

The highest common occurrence is 2¹

Therefore, GCD of 524, 708, 178, 564 is 2.

Given numbers are 524, 708, 178, 564

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

Apply this formula for all numbers.

Step1:

LCM(524, 708) = 92748

GCD(524, 708) = ( 524 x 708 ) / 92748

= 524 / 708

= 524

Step2:

LCM(4, 178) = 356

GCD(4, 178) = ( 4 x 178 ) / 356

= 4 / 178

= 4

Step3:

LCM(2, 564) = 564

GCD(2, 564) = ( 2 x 564 ) / 564

= 2 / 564

= 2

So, Greatest Common Divisor of 524, 708, 178, 564 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 823, 859, 737, 308
• GCD of 665, 398, 791, 431
• GCD of 525, 900, 183, 189
• GCD of 911, 891, 113, 108
• GCD of 738, 195, 718, 579

Given numbers are 524, 708, 178, 564
The greatest common divisor of numbers 524, 708, 178, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 708, 178, 564 is 2.

1. What is the GCD of 524, 708, 178, 564?

GCD of given numbers 524, 708, 178, 564 is 2

2. How to calculate the greatest common divisor of 524, 708, 178, 564?

We can find the highest common divisor of 524, 708, 178, 564 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 524, 708, 178, 564 i.e 2.

3. How can I use the GCD of 524, 708, 178, 564Calculator?

Out the numbers 524, 708, 178, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.