GCD of 428, 413, 497, 159 Calculator

Given Input numbers are 428, 413, 497, 159

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 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

GCD of numbers is the greatest common divisor

So, the GCD (428, 413, 497, 159) = 1.

Given numbers are 428, 413, 497, 159

The list of prime factors of all numbers are

Prime factors of 428 are 2 x 2 x 107

Prime factors of 413 are 7 x 59

Prime factors of 497 are 7 x 71

Prime factors of 159 are 3 x 53

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

Given numbers are 428, 413, 497, 159

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

Apply this formula for all numbers.

Step1:

LCM(428, 413) = 176764

GCD(428, 413) = ( 428 x 413 ) / 176764

= 428 / 413

= 428

Step2:

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

= 1 / 497

= 1

Step3:

LCM(1, 159) = 159

GCD(1, 159) = ( 1 x 159 ) / 159

= 1 / 159

= 1

So, Greatest Common Divisor of 428, 413, 497, 159 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 387, 276, 900, 220
• GCD of 751, 350, 340, 689
• GCD of 860, 958, 306, 456
• GCD of 610, 191, 434, 535
• GCD of 616, 890, 997, 620

Given numbers are 428, 413, 497, 159
The greatest common divisor of numbers 428, 413, 497, 159 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 428, 413, 497, 159 is 1.

1. What is the GCD of 428, 413, 497, 159?

GCD of given numbers 428, 413, 497, 159 is 1

2. How to calculate the greatest common divisor of 428, 413, 497, 159?

We can find the highest common divisor of 428, 413, 497, 159 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, 413, 497, 159 i.e 1.

3. How can I use the GCD of 428, 413, 497, 159Calculator?

Out the numbers 428, 413, 497, 159 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.