GCD of 107, 408, 882, 221 Calculator

Given Input numbers are 107, 408, 882, 221

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

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

Divisors of 221 :

The positive integer divisors of 221 that completely divides 221 are.

1, 13, 17, 221

GCD of numbers is the greatest common divisor

So, the GCD (107, 408, 882, 221) = 1.

Given numbers are 107, 408, 882, 221

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

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

Prime factors of 221 are 13 x 17

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

Given numbers are 107, 408, 882, 221

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

Apply this formula for all numbers.

Step1:

LCM(107, 408) = 43656

GCD(107, 408) = ( 107 x 408 ) / 43656

= 107 / 408

= 107

Step2:

LCM(1, 882) = 882

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

= 1 / 882

= 1

Step3:

LCM(1, 221) = 221

GCD(1, 221) = ( 1 x 221 ) / 221

= 1 / 221

= 1

So, Greatest Common Divisor of 107, 408, 882, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 571, 971, 394, 682
• GCD of 648, 401, 310, 861
• GCD of 220, 986, 888, 466
• GCD of 774, 724, 997, 546
• GCD of 101, 186, 599, 656

Given numbers are 107, 408, 882, 221
The greatest common divisor of numbers 107, 408, 882, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 408, 882, 221 is 1.

1. What is the GCD of 107, 408, 882, 221?

GCD of given numbers 107, 408, 882, 221 is 1

2. How to calculate the greatest common divisor of 107, 408, 882, 221?

We can find the highest common divisor of 107, 408, 882, 221 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 107, 408, 882, 221 i.e 1.

3. How can I use the GCD of 107, 408, 882, 221Calculator?

Out the numbers 107, 408, 882, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.