GCD of 428, 329, 996, 257 Calculator

Given Input numbers are 428, 329, 996, 257

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 329 :

The positive integer divisors of 329 that completely divides 329 are.

1, 7, 47, 329

Divisors of 996 :

The positive integer divisors of 996 that completely divides 996 are.

1, 2, 3, 4, 6, 12, 83, 166, 249, 332, 498, 996

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

GCD of numbers is the greatest common divisor

So, the GCD (428, 329, 996, 257) = 1.

Given numbers are 428, 329, 996, 257

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 329 are 7 x 47

Prime factors of 996 are 2 x 2 x 3 x 83

Prime factors of 257 are 257

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

Given numbers are 428, 329, 996, 257

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

Apply this formula for all numbers.

Step1:

LCM(428, 329) = 140812

GCD(428, 329) = ( 428 x 329 ) / 140812

= 428 / 329

= 428

Step2:

LCM(1, 996) = 996

GCD(1, 996) = ( 1 x 996 ) / 996

= 1 / 996

= 1

Step3:

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

= 1 / 257

= 1

So, Greatest Common Divisor of 428, 329, 996, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 922, 186, 989, 446
• GCD of 768, 449, 159, 541
• GCD of 985, 129, 330, 278
• GCD of 491, 286, 620, 512
• GCD of 636, 162, 214, 946

Given numbers are 428, 329, 996, 257
The greatest common divisor of numbers 428, 329, 996, 257 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 329, 996, 257 is 1.

1. What is the GCD of 428, 329, 996, 257?

GCD of given numbers 428, 329, 996, 257 is 1

2. How to calculate the greatest common divisor of 428, 329, 996, 257?

We can find the highest common divisor of 428, 329, 996, 257 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, 329, 996, 257 i.e 1.

3. How can I use the GCD of 428, 329, 996, 257Calculator?

Out the numbers 428, 329, 996, 257 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.