GCD of 428, 217, 689, 964 Calculator

Given Input numbers are 428, 217, 689, 964

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 217 :

The positive integer divisors of 217 that completely divides 217 are.

1, 7, 31, 217

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (428, 217, 689, 964) = 1.

Given numbers are 428, 217, 689, 964

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 217 are 7 x 31

Prime factors of 689 are 13 x 53

Prime factors of 964 are 2 x 2 x 241

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

Given numbers are 428, 217, 689, 964

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

Apply this formula for all numbers.

Step1:

LCM(428, 217) = 92876

GCD(428, 217) = ( 428 x 217 ) / 92876

= 428 / 217

= 428

Step2:

LCM(1, 689) = 689

GCD(1, 689) = ( 1 x 689 ) / 689

= 1 / 689

= 1

Step3:

LCM(1, 964) = 964

GCD(1, 964) = ( 1 x 964 ) / 964

= 1 / 964

= 1

So, Greatest Common Divisor of 428, 217, 689, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 444, 291, 897, 797
• GCD of 115, 752, 241, 345
• GCD of 892, 674, 182, 294
• GCD of 327, 967, 744, 150
• GCD of 882, 790, 235, 499

Given numbers are 428, 217, 689, 964
The greatest common divisor of numbers 428, 217, 689, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 217, 689, 964 is 1.

1. What is the GCD of 428, 217, 689, 964?

GCD of given numbers 428, 217, 689, 964 is 1

2. How to calculate the greatest common divisor of 428, 217, 689, 964?

We can find the highest common divisor of 428, 217, 689, 964 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, 217, 689, 964 i.e 1.

3. How can I use the GCD of 428, 217, 689, 964Calculator?

Out the numbers 428, 217, 689, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.