GCD of 108, 303, 387, 735 Calculator

Given Input numbers are 108, 303, 387, 735

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

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

Divisors of 303 :

The positive integer divisors of 303 that completely divides 303 are.

1, 3, 101, 303

Divisors of 387 :

The positive integer divisors of 387 that completely divides 387 are.

1, 3, 9, 43, 129, 387

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

GCD of numbers is the greatest common divisor

So, the GCD (108, 303, 387, 735) = 3.

Given numbers are 108, 303, 387, 735

The list of prime factors of all numbers are

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

Prime factors of 303 are 3 x 101

Prime factors of 387 are 3 x 3 x 43

Prime factors of 735 are 3 x 5 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 108, 303, 387, 735 is 3.

Given numbers are 108, 303, 387, 735

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

Apply this formula for all numbers.

Step1:

LCM(108, 303) = 10908

GCD(108, 303) = ( 108 x 303 ) / 10908

= 108 / 303

= 108

Step2:

LCM(3, 387) = 387

GCD(3, 387) = ( 3 x 387 ) / 387

= 3 / 387

= 3

Step3:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

So, Greatest Common Divisor of 108, 303, 387, 735 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 651, 618, 149
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Given numbers are 108, 303, 387, 735
The greatest common divisor of numbers 108, 303, 387, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 303, 387, 735 is 3.

1. What is the GCD of 108, 303, 387, 735?

GCD of given numbers 108, 303, 387, 735 is 3

2. How to calculate the greatest common divisor of 108, 303, 387, 735?

We can find the highest common divisor of 108, 303, 387, 735 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 108, 303, 387, 735 i.e 3.

3. How can I use the GCD of 108, 303, 387, 735Calculator?

Out the numbers 108, 303, 387, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.