GCD of 564, 746, 668, 200 Calculator

Given Input numbers are 564, 746, 668, 200

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 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 668 :

The positive integer divisors of 668 that completely divides 668 are.

1, 2, 4, 167, 334, 668

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

GCD of numbers is the greatest common divisor

So, the GCD (564, 746, 668, 200) = 2.

Given numbers are 564, 746, 668, 200

The list of prime factors of all numbers are

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

Prime factors of 746 are 2 x 373

Prime factors of 668 are 2 x 2 x 167

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

The highest common occurrence is 2¹

Therefore, GCD of 564, 746, 668, 200 is 2.

Given numbers are 564, 746, 668, 200

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

Apply this formula for all numbers.

Step1:

LCM(564, 746) = 210372

GCD(564, 746) = ( 564 x 746 ) / 210372

= 564 / 746

= 564

Step2:

LCM(2, 668) = 668

GCD(2, 668) = ( 2 x 668 ) / 668

= 2 / 668

= 2

Step3:

LCM(2, 200) = 200

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

= 2 / 200

= 2

So, Greatest Common Divisor of 564, 746, 668, 200 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 304, 397, 865
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Given numbers are 564, 746, 668, 200
The greatest common divisor of numbers 564, 746, 668, 200 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 564, 746, 668, 200 is 2.

1. What is the GCD of 564, 746, 668, 200?

GCD of given numbers 564, 746, 668, 200 is 2

2. How to calculate the greatest common divisor of 564, 746, 668, 200?

We can find the highest common divisor of 564, 746, 668, 200 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, 746, 668, 200 i.e 2.

3. How can I use the GCD of 564, 746, 668, 200Calculator?

Out the numbers 564, 746, 668, 200 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.