GCD of 920, 230, 730, 538 Calculator

Given Input numbers are 920, 230, 730, 538

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

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

Divisors of 230 :

The positive integer divisors of 230 that completely divides 230 are.

1, 2, 5, 10, 23, 46, 115, 230

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

GCD of numbers is the greatest common divisor

So, the GCD (920, 230, 730, 538) = 2.

Given numbers are 920, 230, 730, 538

The list of prime factors of all numbers are

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

Prime factors of 230 are 2 x 5 x 23

Prime factors of 730 are 2 x 5 x 73

Prime factors of 538 are 2 x 269

The highest common occurrence is 2¹

Therefore, GCD of 920, 230, 730, 538 is 2.

Given numbers are 920, 230, 730, 538

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

Apply this formula for all numbers.

Step1:

LCM(920, 230) = 920

GCD(920, 230) = ( 920 x 230 ) / 920

= 920 / 230

= 920

Step2:

LCM(230, 730) = 16790

GCD(230, 730) = ( 230 x 730 ) / 16790

= 230 / 730

= 230

Step3:

LCM(10, 538) = 2690

GCD(10, 538) = ( 10 x 538 ) / 2690

= 10 / 538

= 10

So, Greatest Common Divisor of 920, 230, 730, 538 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 699, 398, 762, 591
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Given numbers are 920, 230, 730, 538
The greatest common divisor of numbers 920, 230, 730, 538 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 230, 730, 538 is 2.

1. What is the GCD of 920, 230, 730, 538?

GCD of given numbers 920, 230, 730, 538 is 2

2. How to calculate the greatest common divisor of 920, 230, 730, 538?

We can find the highest common divisor of 920, 230, 730, 538 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 920, 230, 730, 538 i.e 2.

3. How can I use the GCD of 920, 230, 730, 538Calculator?

Out the numbers 920, 230, 730, 538 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.