GCD of 564, 604, 760, 714 Calculator

Given Input numbers are 564, 604, 760, 714

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 604 :

The positive integer divisors of 604 that completely divides 604 are.

1, 2, 4, 151, 302, 604

Divisors of 760 :

The positive integer divisors of 760 that completely divides 760 are.

1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760

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

GCD of numbers is the greatest common divisor

So, the GCD (564, 604, 760, 714) = 2.

Given numbers are 564, 604, 760, 714

The list of prime factors of all numbers are

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

Prime factors of 604 are 2 x 2 x 151

Prime factors of 760 are 2 x 2 x 2 x 5 x 19

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

The highest common occurrence is 2¹

Therefore, GCD of 564, 604, 760, 714 is 2.

Given numbers are 564, 604, 760, 714

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

Apply this formula for all numbers.

Step1:

LCM(564, 604) = 85164

GCD(564, 604) = ( 564 x 604 ) / 85164

= 564 / 604

= 564

Step2:

LCM(4, 760) = 760

GCD(4, 760) = ( 4 x 760 ) / 760

= 4 / 760

= 4

Step3:

LCM(4, 714) = 1428

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

= 4 / 714

= 4

So, Greatest Common Divisor of 564, 604, 760, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 515, 654, 875, 753
• GCD of 211, 262, 347, 516
• GCD of 391, 225, 488, 178
• GCD of 384, 440, 639, 418
• GCD of 471, 129, 842, 964

Given numbers are 564, 604, 760, 714
The greatest common divisor of numbers 564, 604, 760, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 604, 760, 714 is 2.

1. What is the GCD of 564, 604, 760, 714?

GCD of given numbers 564, 604, 760, 714 is 2

2. How to calculate the greatest common divisor of 564, 604, 760, 714?

We can find the highest common divisor of 564, 604, 760, 714 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, 604, 760, 714 i.e 2.

3. How can I use the GCD of 564, 604, 760, 714Calculator?

Out the numbers 564, 604, 760, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.