GCD of 305, 377, 360, 882 Calculator

Given Input numbers are 305, 377, 360, 882

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

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 377 :

The positive integer divisors of 377 that completely divides 377 are.

1, 13, 29, 377

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 882 :

The positive integer divisors of 882 that completely divides 882 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882

GCD of numbers is the greatest common divisor

So, the GCD (305, 377, 360, 882) = 1.

Given numbers are 305, 377, 360, 882

The list of prime factors of all numbers are

Prime factors of 305 are 5 x 61

Prime factors of 377 are 13 x 29

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

Prime factors of 882 are 2 x 3 x 3 x 7 x 7

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

Given numbers are 305, 377, 360, 882

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

Apply this formula for all numbers.

Step1:

LCM(305, 377) = 114985

GCD(305, 377) = ( 305 x 377 ) / 114985

= 305 / 377

= 305

Step2:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

Step3:

LCM(1, 882) = 882

GCD(1, 882) = ( 1 x 882 ) / 882

= 1 / 882

= 1

So, Greatest Common Divisor of 305, 377, 360, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 920, 254, 539
• GCD of 178, 126, 981, 509
• GCD of 660, 431, 537, 860
• GCD of 842, 231, 404, 352
• GCD of 480, 592, 861, 731

Given numbers are 305, 377, 360, 882
The greatest common divisor of numbers 305, 377, 360, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 305, 377, 360, 882 is 1.

1. What is the GCD of 305, 377, 360, 882?

GCD of given numbers 305, 377, 360, 882 is 1

2. How to calculate the greatest common divisor of 305, 377, 360, 882?

We can find the highest common divisor of 305, 377, 360, 882 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 305, 377, 360, 882 i.e 1.

3. How can I use the GCD of 305, 377, 360, 882Calculator?

Out the numbers 305, 377, 360, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.