GCD of 106, 420, 131, 898 Calculator

Given Input numbers are 106, 420, 131, 898

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 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

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (106, 420, 131, 898) = 1.

Given numbers are 106, 420, 131, 898

The list of prime factors of all numbers are

Prime factors of 106 are 2 x 53

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

Prime factors of 131 are 131

Prime factors of 898 are 2 x 449

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

Given numbers are 106, 420, 131, 898

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

Apply this formula for all numbers.

Step1:

LCM(106, 420) = 22260

GCD(106, 420) = ( 106 x 420 ) / 22260

= 106 / 420

= 106

Step2:

LCM(2, 131) = 262

GCD(2, 131) = ( 2 x 131 ) / 262

= 2 / 131

= 2

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 106, 420, 131, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 192, 894, 434
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Given numbers are 106, 420, 131, 898
The greatest common divisor of numbers 106, 420, 131, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 106, 420, 131, 898 is 1.

1. What is the GCD of 106, 420, 131, 898?

GCD of given numbers 106, 420, 131, 898 is 1

2. How to calculate the greatest common divisor of 106, 420, 131, 898?

We can find the highest common divisor of 106, 420, 131, 898 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, 420, 131, 898 i.e 1.

3. How can I use the GCD of 106, 420, 131, 898Calculator?

Out the numbers 106, 420, 131, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.