GCD of 928, 420, 399, 953 Calculator

Given Input numbers are 928, 420, 399, 953

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

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 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 399 :

The positive integer divisors of 399 that completely divides 399 are.

1, 3, 7, 19, 21, 57, 133, 399

Divisors of 953 :

The positive integer divisors of 953 that completely divides 953 are.

1, 953

GCD of numbers is the greatest common divisor

So, the GCD (928, 420, 399, 953) = 1.

Given numbers are 928, 420, 399, 953

The list of prime factors of all numbers are

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

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

Prime factors of 399 are 3 x 7 x 19

Prime factors of 953 are 953

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

Given numbers are 928, 420, 399, 953

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

Apply this formula for all numbers.

Step1:

LCM(928, 420) = 97440

GCD(928, 420) = ( 928 x 420 ) / 97440

= 928 / 420

= 928

Step2:

LCM(4, 399) = 1596

GCD(4, 399) = ( 4 x 399 ) / 1596

= 4 / 399

= 4

Step3:

LCM(1, 953) = 953

GCD(1, 953) = ( 1 x 953 ) / 953

= 1 / 953

= 1

So, Greatest Common Divisor of 928, 420, 399, 953 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 856, 134, 202, 414
• GCD of 853, 498, 551, 256
• GCD of 771, 293, 816, 978
• GCD of 924, 600, 161, 500
• GCD of 563, 873, 318, 291

Given numbers are 928, 420, 399, 953
The greatest common divisor of numbers 928, 420, 399, 953 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 928, 420, 399, 953 is 1.

1. What is the GCD of 928, 420, 399, 953?

GCD of given numbers 928, 420, 399, 953 is 1

2. How to calculate the greatest common divisor of 928, 420, 399, 953?

We can find the highest common divisor of 928, 420, 399, 953 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 928, 420, 399, 953 i.e 1.

3. How can I use the GCD of 928, 420, 399, 953Calculator?

Out the numbers 928, 420, 399, 953 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.