GCD of 705, 845, 676, 648 Calculator

Given Input numbers are 705, 845, 676, 648

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 845 :

The positive integer divisors of 845 that completely divides 845 are.

1, 5, 13, 65, 169, 845

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

GCD of numbers is the greatest common divisor

So, the GCD (705, 845, 676, 648) = 1.

Given numbers are 705, 845, 676, 648

The list of prime factors of all numbers are

Prime factors of 705 are 3 x 5 x 47

Prime factors of 845 are 5 x 13 x 13

Prime factors of 676 are 2 x 2 x 13 x 13

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

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

Given numbers are 705, 845, 676, 648

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

Apply this formula for all numbers.

Step1:

LCM(705, 845) = 119145

GCD(705, 845) = ( 705 x 845 ) / 119145

= 705 / 845

= 705

Step2:

LCM(5, 676) = 3380

GCD(5, 676) = ( 5 x 676 ) / 3380

= 5 / 676

= 5

Step3:

LCM(1, 648) = 648

GCD(1, 648) = ( 1 x 648 ) / 648

= 1 / 648

= 1

So, Greatest Common Divisor of 705, 845, 676, 648 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 864, 521, 429, 640
• GCD of 583, 115, 484, 188
• GCD of 302, 160, 498, 163
• GCD of 588, 202, 460, 667
• GCD of 679, 943, 824, 519

Given numbers are 705, 845, 676, 648
The greatest common divisor of numbers 705, 845, 676, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 845, 676, 648 is 1.

1. What is the GCD of 705, 845, 676, 648?

GCD of given numbers 705, 845, 676, 648 is 1

2. How to calculate the greatest common divisor of 705, 845, 676, 648?

We can find the highest common divisor of 705, 845, 676, 648 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, 845, 676, 648 i.e 1.

3. How can I use the GCD of 705, 845, 676, 648Calculator?

Out the numbers 705, 845, 676, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.