GCD of 504, 784, 574, 788 Calculator

Given Input numbers are 504, 784, 574, 788

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

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

Divisors of 788 :

The positive integer divisors of 788 that completely divides 788 are.

1, 2, 4, 197, 394, 788

GCD of numbers is the greatest common divisor

So, the GCD (504, 784, 574, 788) = 2.

Given numbers are 504, 784, 574, 788

The list of prime factors of all numbers are

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 574 are 2 x 7 x 41

Prime factors of 788 are 2 x 2 x 197

The highest common occurrence is 2¹

Therefore, GCD of 504, 784, 574, 788 is 2.

Given numbers are 504, 784, 574, 788

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

Apply this formula for all numbers.

Step1:

LCM(504, 784) = 7056

GCD(504, 784) = ( 504 x 784 ) / 7056

= 504 / 784

= 504

Step2:

LCM(56, 574) = 2296

GCD(56, 574) = ( 56 x 574 ) / 2296

= 56 / 574

= 56

Step3:

LCM(14, 788) = 5516

GCD(14, 788) = ( 14 x 788 ) / 5516

= 14 / 788

= 14

So, Greatest Common Divisor of 504, 784, 574, 788 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 820, 299, 140
• GCD of 617, 830, 658, 134
• GCD of 381, 711, 363, 250
• GCD of 591, 973, 938, 970
• GCD of 295, 327, 590, 873

Given numbers are 504, 784, 574, 788
The greatest common divisor of numbers 504, 784, 574, 788 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 504, 784, 574, 788 is 2.

1. What is the GCD of 504, 784, 574, 788?

GCD of given numbers 504, 784, 574, 788 is 2

2. How to calculate the greatest common divisor of 504, 784, 574, 788?

We can find the highest common divisor of 504, 784, 574, 788 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 504, 784, 574, 788 i.e 2.

3. How can I use the GCD of 504, 784, 574, 788Calculator?

Out the numbers 504, 784, 574, 788 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.