GCD of 363, 220, 414, 882 Calculator

Given Input numbers are 363, 220, 414, 882

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

Divisors of 363 :

The positive integer divisors of 363 that completely divides 363 are.

1, 3, 11, 33, 121, 363

Divisors of 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 (363, 220, 414, 882) = 1.

Given numbers are 363, 220, 414, 882

The list of prime factors of all numbers are

Prime factors of 363 are 3 x 11 x 11

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 414 are 2 x 3 x 3 x 23

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 363, 220, 414, 882

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

Apply this formula for all numbers.

Step1:

LCM(363, 220) = 7260

GCD(363, 220) = ( 363 x 220 ) / 7260

= 363 / 220

= 363

Step2:

LCM(11, 414) = 4554

GCD(11, 414) = ( 11 x 414 ) / 4554

= 11 / 414

= 11

Step3:

LCM(1, 882) = 882

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

= 1 / 882

= 1

So, Greatest Common Divisor of 363, 220, 414, 882 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 169, 557, 481, 235
• GCD of 813, 457, 577, 809
• GCD of 497, 799, 969, 152
• GCD of 160, 309, 493, 101
• GCD of 211, 892, 138, 550

Given numbers are 363, 220, 414, 882
The greatest common divisor of numbers 363, 220, 414, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 363, 220, 414, 882 is 1.

1. What is the GCD of 363, 220, 414, 882?

GCD of given numbers 363, 220, 414, 882 is 1

2. How to calculate the greatest common divisor of 363, 220, 414, 882?

We can find the highest common divisor of 363, 220, 414, 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 363, 220, 414, 882 i.e 1.

3. How can I use the GCD of 363, 220, 414, 882Calculator?

Out the numbers 363, 220, 414, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.