GCD of 420, 523, 928, 958 Calculator

Given Input numbers are 420, 523, 928, 958

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

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 523 :

The positive integer divisors of 523 that completely divides 523 are.

1, 523

Divisors of 928 :

The positive integer divisors of 928 that completely divides 928 are.

1, 2, 4, 8, 16, 29, 32, 58, 116, 232, 464, 928

Divisors of 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

GCD of numbers is the greatest common divisor

So, the GCD (420, 523, 928, 958) = 1.

Given numbers are 420, 523, 928, 958

The list of prime factors of all numbers are

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 523 are 523

Prime factors of 928 are 2 x 2 x 2 x 2 x 2 x 29

Prime factors of 958 are 2 x 479

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

Given numbers are 420, 523, 928, 958

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

Apply this formula for all numbers.

Step1:

LCM(420, 523) = 219660

GCD(420, 523) = ( 420 x 523 ) / 219660

= 420 / 523

= 420

Step2:

LCM(1, 928) = 928

GCD(1, 928) = ( 1 x 928 ) / 928

= 1 / 928

= 1

Step3:

LCM(1, 958) = 958

GCD(1, 958) = ( 1 x 958 ) / 958

= 1 / 958

= 1

So, Greatest Common Divisor of 420, 523, 928, 958 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 172, 739, 600, 438
• GCD of 869, 663, 950, 194
• GCD of 377, 967, 287, 560
• GCD of 171, 301, 308, 964
• GCD of 198, 500, 557, 277

Given numbers are 420, 523, 928, 958
The greatest common divisor of numbers 420, 523, 928, 958 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 523, 928, 958 is 1.

1. What is the GCD of 420, 523, 928, 958?

GCD of given numbers 420, 523, 928, 958 is 1

2. How to calculate the greatest common divisor of 420, 523, 928, 958?

We can find the highest common divisor of 420, 523, 928, 958 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 420, 523, 928, 958 i.e 1.

3. How can I use the GCD of 420, 523, 928, 958Calculator?

Out the numbers 420, 523, 928, 958 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.