GCD of 398, 742, 483, 920 Calculator

Given Input numbers are 398, 742, 483, 920

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

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 483 :

The positive integer divisors of 483 that completely divides 483 are.

1, 3, 7, 21, 23, 69, 161, 483

Divisors of 920 :

The positive integer divisors of 920 that completely divides 920 are.

1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920

GCD of numbers is the greatest common divisor

So, the GCD (398, 742, 483, 920) = 1.

Given numbers are 398, 742, 483, 920

The list of prime factors of all numbers are

Prime factors of 398 are 2 x 199

Prime factors of 742 are 2 x 7 x 53

Prime factors of 483 are 3 x 7 x 23

Prime factors of 920 are 2 x 2 x 2 x 5 x 23

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

Given numbers are 398, 742, 483, 920

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

Apply this formula for all numbers.

Step1:

LCM(398, 742) = 147658

GCD(398, 742) = ( 398 x 742 ) / 147658

= 398 / 742

= 398

Step2:

LCM(2, 483) = 966

GCD(2, 483) = ( 2 x 483 ) / 966

= 2 / 483

= 2

Step3:

LCM(1, 920) = 920

GCD(1, 920) = ( 1 x 920 ) / 920

= 1 / 920

= 1

So, Greatest Common Divisor of 398, 742, 483, 920 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 408, 267, 566, 826
• GCD of 268, 878, 943, 554
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• GCD of 714, 839, 599, 870
• GCD of 382, 333, 812, 100

Given numbers are 398, 742, 483, 920
The greatest common divisor of numbers 398, 742, 483, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 398, 742, 483, 920 is 1.

1. What is the GCD of 398, 742, 483, 920?

GCD of given numbers 398, 742, 483, 920 is 1

2. How to calculate the greatest common divisor of 398, 742, 483, 920?

We can find the highest common divisor of 398, 742, 483, 920 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 398, 742, 483, 920 i.e 1.

3. How can I use the GCD of 398, 742, 483, 920Calculator?

Out the numbers 398, 742, 483, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.