GCD of 705, 747, 409, 368 Calculator

Given Input numbers are 705, 747, 409, 368

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 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 409 :

The positive integer divisors of 409 that completely divides 409 are.

1, 409

Divisors of 368 :

The positive integer divisors of 368 that completely divides 368 are.

1, 2, 4, 8, 16, 23, 46, 92, 184, 368

GCD of numbers is the greatest common divisor

So, the GCD (705, 747, 409, 368) = 1.

Given numbers are 705, 747, 409, 368

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 747 are 3 x 3 x 83

Prime factors of 409 are 409

Prime factors of 368 are 2 x 2 x 2 x 2 x 23

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

Given numbers are 705, 747, 409, 368

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

Apply this formula for all numbers.

Step1:

LCM(705, 747) = 175545

GCD(705, 747) = ( 705 x 747 ) / 175545

= 705 / 747

= 705

Step2:

LCM(3, 409) = 1227

GCD(3, 409) = ( 3 x 409 ) / 1227

= 3 / 409

= 3

Step3:

LCM(1, 368) = 368

GCD(1, 368) = ( 1 x 368 ) / 368

= 1 / 368

= 1

So, Greatest Common Divisor of 705, 747, 409, 368 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 208, 539, 787, 506
• GCD of 428, 924, 152, 785
• GCD of 363, 602, 601, 782
• GCD of 979, 358, 259, 742
• GCD of 696, 162, 773, 152

Given numbers are 705, 747, 409, 368
The greatest common divisor of numbers 705, 747, 409, 368 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 747, 409, 368 is 1.

1. What is the GCD of 705, 747, 409, 368?

GCD of given numbers 705, 747, 409, 368 is 1

2. How to calculate the greatest common divisor of 705, 747, 409, 368?

We can find the highest common divisor of 705, 747, 409, 368 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, 747, 409, 368 i.e 1.

3. How can I use the GCD of 705, 747, 409, 368Calculator?

Out the numbers 705, 747, 409, 368 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.