GCD of 348, 618, 900, 730 Calculator

Given Input numbers are 348, 618, 900, 730

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

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

Divisors of 618 :

The positive integer divisors of 618 that completely divides 618 are.

1, 2, 3, 6, 103, 206, 309, 618

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 730 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (348, 618, 900, 730) = 2.

Given numbers are 348, 618, 900, 730

The list of prime factors of all numbers are

Prime factors of 348 are 2 x 2 x 3 x 29

Prime factors of 618 are 2 x 3 x 103

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 730 are 2 x 5 x 73

The highest common occurrence is 2¹

Therefore, GCD of 348, 618, 900, 730 is 2.

Given numbers are 348, 618, 900, 730

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

Apply this formula for all numbers.

Step1:

LCM(348, 618) = 35844

GCD(348, 618) = ( 348 x 618 ) / 35844

= 348 / 618

= 348

Step2:

LCM(6, 900) = 900

GCD(6, 900) = ( 6 x 900 ) / 900

= 6 / 900

= 6

Step3:

LCM(6, 730) = 2190

GCD(6, 730) = ( 6 x 730 ) / 2190

= 6 / 730

= 6

So, Greatest Common Divisor of 348, 618, 900, 730 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 794, 406, 440, 582
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Given numbers are 348, 618, 900, 730
The greatest common divisor of numbers 348, 618, 900, 730 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 348, 618, 900, 730 is 2.

1. What is the GCD of 348, 618, 900, 730?

GCD of given numbers 348, 618, 900, 730 is 2

2. How to calculate the greatest common divisor of 348, 618, 900, 730?

We can find the highest common divisor of 348, 618, 900, 730 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 348, 618, 900, 730 i.e 2.

3. How can I use the GCD of 348, 618, 900, 730Calculator?

Out the numbers 348, 618, 900, 730 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.