GCD of 705, 729, 746, 308 Calculator

Given Input numbers are 705, 729, 746, 308

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 729 :

The positive integer divisors of 729 that completely divides 729 are.

1, 3, 9, 27, 81, 243, 729

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (705, 729, 746, 308) = 1.

Given numbers are 705, 729, 746, 308

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 729 are 3 x 3 x 3 x 3 x 3 x 3

Prime factors of 746 are 2 x 373

Prime factors of 308 are 2 x 2 x 7 x 11

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

Given numbers are 705, 729, 746, 308

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

Apply this formula for all numbers.

Step1:

LCM(705, 729) = 171315

GCD(705, 729) = ( 705 x 729 ) / 171315

= 705 / 729

= 705

Step2:

LCM(3, 746) = 2238

GCD(3, 746) = ( 3 x 746 ) / 2238

= 3 / 746

= 3

Step3:

LCM(1, 308) = 308

GCD(1, 308) = ( 1 x 308 ) / 308

= 1 / 308

= 1

So, Greatest Common Divisor of 705, 729, 746, 308 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 177, 289, 706, 822
• GCD of 578, 157, 785, 663
• GCD of 914, 590, 253, 513
• GCD of 271, 115, 288, 613
• GCD of 724, 833, 776, 427

Given numbers are 705, 729, 746, 308
The greatest common divisor of numbers 705, 729, 746, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 729, 746, 308 is 1.

1. What is the GCD of 705, 729, 746, 308?

GCD of given numbers 705, 729, 746, 308 is 1

2. How to calculate the greatest common divisor of 705, 729, 746, 308?

We can find the highest common divisor of 705, 729, 746, 308 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 705, 729, 746, 308 i.e 1.

3. How can I use the GCD of 705, 729, 746, 308Calculator?

Out the numbers 705, 729, 746, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.