GCD of 426, 704, 589, 978 Calculator

Given Input numbers are 426, 704, 589, 978

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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 589 :

The positive integer divisors of 589 that completely divides 589 are.

1, 19, 31, 589

Divisors of 978 :

The positive integer divisors of 978 that completely divides 978 are.

1, 2, 3, 6, 163, 326, 489, 978

GCD of numbers is the greatest common divisor

So, the GCD (426, 704, 589, 978) = 1.

Given numbers are 426, 704, 589, 978

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

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

Prime factors of 589 are 19 x 31

Prime factors of 978 are 2 x 3 x 163

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 426, 704, 589, 978

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

Apply this formula for all numbers.

Step1:

LCM(426, 704) = 149952

GCD(426, 704) = ( 426 x 704 ) / 149952

= 426 / 704

= 426

Step2:

LCM(2, 589) = 1178

GCD(2, 589) = ( 2 x 589 ) / 1178

= 2 / 589

= 2

Step3:

LCM(1, 978) = 978

GCD(1, 978) = ( 1 x 978 ) / 978

= 1 / 978

= 1

So, Greatest Common Divisor of 426, 704, 589, 978 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 462, 697, 715, 669
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Given numbers are 426, 704, 589, 978
The greatest common divisor of numbers 426, 704, 589, 978 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 704, 589, 978 is 1.

1. What is the GCD of 426, 704, 589, 978?

GCD of given numbers 426, 704, 589, 978 is 1

2. How to calculate the greatest common divisor of 426, 704, 589, 978?

We can find the highest common divisor of 426, 704, 589, 978 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 426, 704, 589, 978 i.e 1.

3. How can I use the GCD of 426, 704, 589, 978Calculator?

Out the numbers 426, 704, 589, 978 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.