GCD of 369, 208, 730, 735 Calculator

Given Input numbers are 369, 208, 730, 735

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 208 :

The positive integer divisors of 208 that completely divides 208 are.

1, 2, 4, 8, 13, 16, 26, 52, 104, 208

Divisors of 730 :

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

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

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 (369, 208, 730, 735) = 1.

Given numbers are 369, 208, 730, 735

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 208 are 2 x 2 x 2 x 2 x 13

Prime factors of 730 are 2 x 5 x 73

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

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

Given numbers are 369, 208, 730, 735

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

Apply this formula for all numbers.

Step1:

LCM(369, 208) = 76752

GCD(369, 208) = ( 369 x 208 ) / 76752

= 369 / 208

= 369

Step2:

LCM(1, 730) = 730

GCD(1, 730) = ( 1 x 730 ) / 730

= 1 / 730

= 1

Step3:

LCM(1, 735) = 735

GCD(1, 735) = ( 1 x 735 ) / 735

= 1 / 735

= 1

So, Greatest Common Divisor of 369, 208, 730, 735 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 746, 581, 538, 487
• GCD of 623, 352, 930, 456
• GCD of 804, 895, 773, 686
• GCD of 863, 291, 982, 877
• GCD of 609, 807, 911, 819

Given numbers are 369, 208, 730, 735
The greatest common divisor of numbers 369, 208, 730, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 208, 730, 735 is 1.

1. What is the GCD of 369, 208, 730, 735?

GCD of given numbers 369, 208, 730, 735 is 1

2. How to calculate the greatest common divisor of 369, 208, 730, 735?

We can find the highest common divisor of 369, 208, 730, 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 369, 208, 730, 735 i.e 1.

3. How can I use the GCD of 369, 208, 730, 735Calculator?

Out the numbers 369, 208, 730, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.