GCD of 305, 748, 20, 918 Calculator

Given Input numbers are 305, 748, 20, 918

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

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 20 :

The positive integer divisors of 20 that completely divides 20 are.

1, 2, 4, 5, 10, 20

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

GCD of numbers is the greatest common divisor

So, the GCD (305, 748, 20, 918) = 1.

Given numbers are 305, 748, 20, 918

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 20 are 2 x 2 x 5

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Given numbers are 305, 748, 20, 918

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

Apply this formula for all numbers.

Step1:

LCM(305, 748) = 228140

GCD(305, 748) = ( 305 x 748 ) / 228140

= 305 / 748

= 305

Step2:

LCM(1, 20) = 20

GCD(1, 20) = ( 1 x 20 ) / 20

= 1 / 20

= 1

Step3:

LCM(1, 918) = 918

GCD(1, 918) = ( 1 x 918 ) / 918

= 1 / 918

= 1

So, Greatest Common Divisor of 305, 748, 20, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 100, 682, 40, 458
• GCD of 992, 484, 43, 281
• GCD of 951, 525, 10, 963
• GCD of 429, 221, 45, 753
• GCD of 653, 108, 37, 612

Given numbers are 305, 748, 20, 918
The greatest common divisor of numbers 305, 748, 20, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 748, 20, 918 is 1.

1. What is the GCD of 305, 748, 20, 918?

GCD of given numbers 305, 748, 20, 918 is 1

2. How to calculate the greatest common divisor of 305, 748, 20, 918?

We can find the highest common divisor of 305, 748, 20, 918 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 305, 748, 20, 918 i.e 1.

3. How can I use the GCD of 305, 748, 20, 918Calculator?

Out the numbers 305, 748, 20, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.