GCD of 552, 788, 714, 590 Calculator

Given Input numbers are 552, 788, 714, 590

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

Divisors of 552 :

The positive integer divisors of 552 that completely divides 552 are.

1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552

Divisors of 788 :

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

1, 2, 4, 197, 394, 788

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 590 :

The positive integer divisors of 590 that completely divides 590 are.

1, 2, 5, 10, 59, 118, 295, 590

GCD of numbers is the greatest common divisor

So, the GCD (552, 788, 714, 590) = 2.

Given numbers are 552, 788, 714, 590

The list of prime factors of all numbers are

Prime factors of 552 are 2 x 2 x 2 x 3 x 23

Prime factors of 788 are 2 x 2 x 197

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 590 are 2 x 5 x 59

The highest common occurrence is 2¹

Therefore, GCD of 552, 788, 714, 590 is 2.

Given numbers are 552, 788, 714, 590

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

Apply this formula for all numbers.

Step1:

LCM(552, 788) = 108744

GCD(552, 788) = ( 552 x 788 ) / 108744

= 552 / 788

= 552

Step2:

LCM(4, 714) = 1428

GCD(4, 714) = ( 4 x 714 ) / 1428

= 4 / 714

= 4

Step3:

LCM(2, 590) = 590

GCD(2, 590) = ( 2 x 590 ) / 590

= 2 / 590

= 2

So, Greatest Common Divisor of 552, 788, 714, 590 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 509, 356, 944
• GCD of 314, 826, 334, 319
• GCD of 313, 494, 373, 356
• GCD of 471, 300, 194, 681
• GCD of 770, 343, 556, 641

Given numbers are 552, 788, 714, 590
The greatest common divisor of numbers 552, 788, 714, 590 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 788, 714, 590 is 2.

1. What is the GCD of 552, 788, 714, 590?

GCD of given numbers 552, 788, 714, 590 is 2

2. How to calculate the greatest common divisor of 552, 788, 714, 590?

We can find the highest common divisor of 552, 788, 714, 590 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 552, 788, 714, 590 i.e 2.

3. How can I use the GCD of 552, 788, 714, 590Calculator?

Out the numbers 552, 788, 714, 590 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.