GCD of 428, 338, 659, 460 Calculator

Given Input numbers are 428, 338, 659, 460

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 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 659 :

The positive integer divisors of 659 that completely divides 659 are.

1, 659

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

GCD of numbers is the greatest common divisor

So, the GCD (428, 338, 659, 460) = 1.

Given numbers are 428, 338, 659, 460

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 338 are 2 x 13 x 13

Prime factors of 659 are 659

Prime factors of 460 are 2 x 2 x 5 x 23

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

Given numbers are 428, 338, 659, 460

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

Apply this formula for all numbers.

Step1:

LCM(428, 338) = 72332

GCD(428, 338) = ( 428 x 338 ) / 72332

= 428 / 338

= 428

Step2:

LCM(2, 659) = 1318

GCD(2, 659) = ( 2 x 659 ) / 1318

= 2 / 659

= 2

Step3:

LCM(1, 460) = 460

GCD(1, 460) = ( 1 x 460 ) / 460

= 1 / 460

= 1

So, Greatest Common Divisor of 428, 338, 659, 460 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 196, 280, 302, 259
• GCD of 514, 796, 151, 642
• GCD of 484, 230, 593, 858
• GCD of 821, 817, 670, 682
• GCD of 236, 959, 644, 148

Given numbers are 428, 338, 659, 460
The greatest common divisor of numbers 428, 338, 659, 460 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 338, 659, 460 is 1.

1. What is the GCD of 428, 338, 659, 460?

GCD of given numbers 428, 338, 659, 460 is 1

2. How to calculate the greatest common divisor of 428, 338, 659, 460?

We can find the highest common divisor of 428, 338, 659, 460 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, 338, 659, 460 i.e 1.

3. How can I use the GCD of 428, 338, 659, 460Calculator?

Out the numbers 428, 338, 659, 460 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.