GCD of 106, 281, 921, 420 Calculator

Given Input numbers are 106, 281, 921, 420

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

Divisors of 281 :

The positive integer divisors of 281 that completely divides 281 are.

1, 281

Divisors of 921 :

The positive integer divisors of 921 that completely divides 921 are.

1, 3, 307, 921

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

GCD of numbers is the greatest common divisor

So, the GCD (106, 281, 921, 420) = 1.

Given numbers are 106, 281, 921, 420

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

Prime factors of 281 are 281

Prime factors of 921 are 3 x 307

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

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

Given numbers are 106, 281, 921, 420

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

Apply this formula for all numbers.

Step1:

LCM(106, 281) = 29786

GCD(106, 281) = ( 106 x 281 ) / 29786

= 106 / 281

= 106

Step2:

LCM(1, 921) = 921

GCD(1, 921) = ( 1 x 921 ) / 921

= 1 / 921

= 1

Step3:

LCM(1, 420) = 420

GCD(1, 420) = ( 1 x 420 ) / 420

= 1 / 420

= 1

So, Greatest Common Divisor of 106, 281, 921, 420 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 984, 977, 496, 673
• GCD of 611, 694, 445, 976
• GCD of 960, 210, 531, 983
• GCD of 911, 941, 378, 626
• GCD of 691, 283, 136, 605

Given numbers are 106, 281, 921, 420
The greatest common divisor of numbers 106, 281, 921, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 281, 921, 420 is 1.

1. What is the GCD of 106, 281, 921, 420?

GCD of given numbers 106, 281, 921, 420 is 1

2. How to calculate the greatest common divisor of 106, 281, 921, 420?

We can find the highest common divisor of 106, 281, 921, 420 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 106, 281, 921, 420 i.e 1.

3. How can I use the GCD of 106, 281, 921, 420Calculator?

Out the numbers 106, 281, 921, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.