GCD of 720, 308, 790, 705 Calculator

Given Input numbers are 720, 308, 790, 705

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

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

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 705 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (720, 308, 790, 705) = 1.

Given numbers are 720, 308, 790, 705

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 790 are 2 x 5 x 79

Prime factors of 705 are 3 x 5 x 47

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

Given numbers are 720, 308, 790, 705

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

Apply this formula for all numbers.

Step1:

LCM(720, 308) = 55440

GCD(720, 308) = ( 720 x 308 ) / 55440

= 720 / 308

= 720

Step2:

LCM(4, 790) = 1580

GCD(4, 790) = ( 4 x 790 ) / 1580

= 4 / 790

= 4

Step3:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

So, Greatest Common Divisor of 720, 308, 790, 705 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 200, 295, 686, 249
• GCD of 921, 219, 570, 563
• GCD of 245, 697, 809, 156
• GCD of 859, 492, 644, 374
• GCD of 132, 997, 867, 170

Given numbers are 720, 308, 790, 705
The greatest common divisor of numbers 720, 308, 790, 705 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 308, 790, 705 is 1.

1. What is the GCD of 720, 308, 790, 705?

GCD of given numbers 720, 308, 790, 705 is 1

2. How to calculate the greatest common divisor of 720, 308, 790, 705?

We can find the highest common divisor of 720, 308, 790, 705 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 720, 308, 790, 705 i.e 1.

3. How can I use the GCD of 720, 308, 790, 705Calculator?

Out the numbers 720, 308, 790, 705 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.