GCD of 109, 442, 269, 984 Calculator

Given Input numbers are 109, 442, 269, 984

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

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

Divisors of 269 :

The positive integer divisors of 269 that completely divides 269 are.

1, 269

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (109, 442, 269, 984) = 1.

Given numbers are 109, 442, 269, 984

The list of prime factors of all numbers are

Prime factors of 109 are 109

Prime factors of 442 are 2 x 13 x 17

Prime factors of 269 are 269

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Given numbers are 109, 442, 269, 984

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

Apply this formula for all numbers.

Step1:

LCM(109, 442) = 48178

GCD(109, 442) = ( 109 x 442 ) / 48178

= 109 / 442

= 109

Step2:

LCM(1, 269) = 269

GCD(1, 269) = ( 1 x 269 ) / 269

= 1 / 269

= 1

Step3:

LCM(1, 984) = 984

GCD(1, 984) = ( 1 x 984 ) / 984

= 1 / 984

= 1

So, Greatest Common Divisor of 109, 442, 269, 984 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 488, 531, 817, 693
• GCD of 348, 815, 775, 187
• GCD of 841, 663, 251, 838
• GCD of 711, 486, 795, 384
• GCD of 881, 260, 108, 188

Given numbers are 109, 442, 269, 984
The greatest common divisor of numbers 109, 442, 269, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 442, 269, 984 is 1.

1. What is the GCD of 109, 442, 269, 984?

GCD of given numbers 109, 442, 269, 984 is 1

2. How to calculate the greatest common divisor of 109, 442, 269, 984?

We can find the highest common divisor of 109, 442, 269, 984 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 109, 442, 269, 984 i.e 1.

3. How can I use the GCD of 109, 442, 269, 984Calculator?

Out the numbers 109, 442, 269, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.