GCD of 827, 600, 120, 918 Calculator

Given Input numbers are 827, 600, 120, 918

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

Divisors of 827 :

The positive integer divisors of 827 that completely divides 827 are.

1, 827

Divisors of 600 :

The positive integer divisors of 600 that completely divides 600 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 (827, 600, 120, 918) = 1.

Given numbers are 827, 600, 120, 918

The list of prime factors of all numbers are

Prime factors of 827 are 827

Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5

Prime factors of 120 are 2 x 2 x 2 x 3 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 827, 600, 120, 918

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

Apply this formula for all numbers.

Step1:

LCM(827, 600) = 496200

GCD(827, 600) = ( 827 x 600 ) / 496200

= 827 / 600

= 827

Step2:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

Step3:

LCM(1, 918) = 918

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

= 1 / 918

= 1

So, Greatest Common Divisor of 827, 600, 120, 918 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 248, 275, 409, 683
• GCD of 799, 882, 581, 385
• GCD of 849, 451, 224, 199
• GCD of 802, 459, 581, 836
• GCD of 964, 558, 525, 294

Given numbers are 827, 600, 120, 918
The greatest common divisor of numbers 827, 600, 120, 918 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 827, 600, 120, 918 is 1.

1. What is the GCD of 827, 600, 120, 918?

GCD of given numbers 827, 600, 120, 918 is 1

2. How to calculate the greatest common divisor of 827, 600, 120, 918?

We can find the highest common divisor of 827, 600, 120, 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 827, 600, 120, 918 i.e 1.

3. How can I use the GCD of 827, 600, 120, 918Calculator?

Out the numbers 827, 600, 120, 918 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.