GCD of 564, 754, 200, 760 Calculator

Given Input numbers are 564, 754, 200, 760

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 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 200 :

The positive integer divisors of 200 that completely divides 200 are.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200

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

GCD of numbers is the greatest common divisor

So, the GCD (564, 754, 200, 760) = 2.

Given numbers are 564, 754, 200, 760

The list of prime factors of all numbers are

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

Prime factors of 754 are 2 x 13 x 29

Prime factors of 200 are 2 x 2 x 2 x 5 x 5

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

The highest common occurrence is 2¹

Therefore, GCD of 564, 754, 200, 760 is 2.

Given numbers are 564, 754, 200, 760

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

Apply this formula for all numbers.

Step1:

LCM(564, 754) = 212628

GCD(564, 754) = ( 564 x 754 ) / 212628

= 564 / 754

= 564

Step2:

LCM(2, 200) = 200

GCD(2, 200) = ( 2 x 200 ) / 200

= 2 / 200

= 2

Step3:

LCM(2, 760) = 760

GCD(2, 760) = ( 2 x 760 ) / 760

= 2 / 760

= 2

So, Greatest Common Divisor of 564, 754, 200, 760 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 855, 371, 740, 483
• GCD of 590, 638, 685, 984
• GCD of 203, 400, 470, 748
• GCD of 344, 605, 492, 655
• GCD of 898, 755, 688, 499

Given numbers are 564, 754, 200, 760
The greatest common divisor of numbers 564, 754, 200, 760 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 754, 200, 760 is 2.

1. What is the GCD of 564, 754, 200, 760?

GCD of given numbers 564, 754, 200, 760 is 2

2. How to calculate the greatest common divisor of 564, 754, 200, 760?

We can find the highest common divisor of 564, 754, 200, 760 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, 754, 200, 760 i.e 2.

3. How can I use the GCD of 564, 754, 200, 760Calculator?

Out the numbers 564, 754, 200, 760 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.