GCD of 428, 670, 896, 589 Calculator

Given Input numbers are 428, 670, 896, 589

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

Divisors of 428 :

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

1, 2, 4, 107, 214, 428

Divisors of 670 :

The positive integer divisors of 670 that completely divides 670 are.

1, 2, 5, 10, 67, 134, 335, 670

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 589 :

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

1, 19, 31, 589

GCD of numbers is the greatest common divisor

So, the GCD (428, 670, 896, 589) = 1.

Given numbers are 428, 670, 896, 589

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 670 are 2 x 5 x 67

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 589 are 19 x 31

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

Given numbers are 428, 670, 896, 589

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

Apply this formula for all numbers.

Step1:

LCM(428, 670) = 143380

GCD(428, 670) = ( 428 x 670 ) / 143380

= 428 / 670

= 428

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 589) = 1178

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

= 2 / 589

= 2

So, Greatest Common Divisor of 428, 670, 896, 589 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 809, 966, 573, 276
• GCD of 807, 541, 979, 431
• GCD of 477, 616, 575, 841
• GCD of 962, 625, 534, 376
• GCD of 564, 715, 425, 990

Given numbers are 428, 670, 896, 589
The greatest common divisor of numbers 428, 670, 896, 589 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 670, 896, 589 is 1.

1. What is the GCD of 428, 670, 896, 589?

GCD of given numbers 428, 670, 896, 589 is 1

2. How to calculate the greatest common divisor of 428, 670, 896, 589?

We can find the highest common divisor of 428, 670, 896, 589 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 428, 670, 896, 589 i.e 1.

3. How can I use the GCD of 428, 670, 896, 589Calculator?

Out the numbers 428, 670, 896, 589 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.