GCD of 704, 594, 400, 428 Calculator

Given Input numbers are 704, 594, 400, 428

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 594 :

The positive integer divisors of 594 that completely divides 594 are.

1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

Divisors of 400 :

The positive integer divisors of 400 that completely divides 400 are.

1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400

Divisors of 428 :

The positive integer divisors of 428 that completely divides 428 are.

1, 2, 4, 107, 214, 428

GCD of numbers is the greatest common divisor

So, the GCD (704, 594, 400, 428) = 2.

Given numbers are 704, 594, 400, 428

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 594 are 2 x 3 x 3 x 3 x 11

Prime factors of 400 are 2 x 2 x 2 x 2 x 5 x 5

Prime factors of 428 are 2 x 2 x 107

The highest common occurrence is 2¹

Therefore, GCD of 704, 594, 400, 428 is 2.

Given numbers are 704, 594, 400, 428

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

Apply this formula for all numbers.

Step1:

LCM(704, 594) = 19008

GCD(704, 594) = ( 704 x 594 ) / 19008

= 704 / 594

= 704

Step2:

LCM(22, 400) = 4400

GCD(22, 400) = ( 22 x 400 ) / 4400

= 22 / 400

= 22

Step3:

LCM(2, 428) = 428

GCD(2, 428) = ( 2 x 428 ) / 428

= 2 / 428

= 2

So, Greatest Common Divisor of 704, 594, 400, 428 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 893, 672, 802, 785
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• GCD of 169, 496, 232, 916

Given numbers are 704, 594, 400, 428
The greatest common divisor of numbers 704, 594, 400, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 594, 400, 428 is 2.

1. What is the GCD of 704, 594, 400, 428?

GCD of given numbers 704, 594, 400, 428 is 2

2. How to calculate the greatest common divisor of 704, 594, 400, 428?

We can find the highest common divisor of 704, 594, 400, 428 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 704, 594, 400, 428 i.e 2.

3. How can I use the GCD of 704, 594, 400, 428Calculator?

Out the numbers 704, 594, 400, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.