GCD of 969, 105, 222, 221 Calculator

Given Input numbers are 969, 105, 222, 221

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

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 (969, 105, 222, 221) = 1.

Given numbers are 969, 105, 222, 221

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 105 are 3 x 5 x 7

Prime factors of 222 are 2 x 3 x 37

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 969, 105, 222, 221

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

Apply this formula for all numbers.

Step1:

LCM(969, 105) = 33915

GCD(969, 105) = ( 969 x 105 ) / 33915

= 969 / 105

= 969

Step2:

LCM(3, 222) = 222

GCD(3, 222) = ( 3 x 222 ) / 222

= 3 / 222

= 3

Step3:

LCM(3, 221) = 663

GCD(3, 221) = ( 3 x 221 ) / 663

= 3 / 221

= 3

So, Greatest Common Divisor of 969, 105, 222, 221 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 848, 148, 636, 245
• GCD of 334, 921, 726, 605
• GCD of 232, 605, 225, 959
• GCD of 102, 185, 652, 474
• GCD of 682, 429, 430, 321

Given numbers are 969, 105, 222, 221
The greatest common divisor of numbers 969, 105, 222, 221 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 105, 222, 221 is 1.

1. What is the GCD of 969, 105, 222, 221?

GCD of given numbers 969, 105, 222, 221 is 1

2. How to calculate the greatest common divisor of 969, 105, 222, 221?

We can find the highest common divisor of 969, 105, 222, 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 969, 105, 222, 221 i.e 1.

3. How can I use the GCD of 969, 105, 222, 221Calculator?

Out the numbers 969, 105, 222, 221 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.