GCD of 360, 648, 45, 857 Calculator

Given Input numbers are 360, 648, 45, 857

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

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

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

Divisors of 45 :

The positive integer divisors of 45 that completely divides 45 are.

1, 3, 5, 9, 15, 45

Divisors of 857 :

The positive integer divisors of 857 that completely divides 857 are.

1, 857

GCD of numbers is the greatest common divisor

So, the GCD (360, 648, 45, 857) = 1.

Given numbers are 360, 648, 45, 857

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Prime factors of 45 are 3 x 3 x 5

Prime factors of 857 are 857

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

Given numbers are 360, 648, 45, 857

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

Apply this formula for all numbers.

Step1:

LCM(360, 648) = 3240

GCD(360, 648) = ( 360 x 648 ) / 3240

= 360 / 648

= 360

Step2:

LCM(72, 45) = 360

GCD(72, 45) = ( 72 x 45 ) / 360

= 72 / 45

= 72

Step3:

LCM(9, 857) = 7713

GCD(9, 857) = ( 9 x 857 ) / 7713

= 9 / 857

= 9

So, Greatest Common Divisor of 360, 648, 45, 857 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 789, 739, 52, 598
• GCD of 806, 525, 28, 811
• GCD of 918, 454, 26, 344
• GCD of 882, 491, 27, 692
• GCD of 326, 555, 96, 608

Given numbers are 360, 648, 45, 857
The greatest common divisor of numbers 360, 648, 45, 857 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 648, 45, 857 is 1.

1. What is the GCD of 360, 648, 45, 857?

GCD of given numbers 360, 648, 45, 857 is 1

2. How to calculate the greatest common divisor of 360, 648, 45, 857?

We can find the highest common divisor of 360, 648, 45, 857 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 360, 648, 45, 857 i.e 1.

3. How can I use the GCD of 360, 648, 45, 857Calculator?

Out the numbers 360, 648, 45, 857 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.