GCD of 897, 342, 490, 109 Calculator

Given Input numbers are 897, 342, 490, 109

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 342 :

The positive integer divisors of 342 that completely divides 342 are.

1, 2, 3, 6, 9, 18, 19, 38, 57, 114, 171, 342

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 109 :

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

1, 109

GCD of numbers is the greatest common divisor

So, the GCD (897, 342, 490, 109) = 1.

Given numbers are 897, 342, 490, 109

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 342 are 2 x 3 x 3 x 19

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 109 are 109

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

Given numbers are 897, 342, 490, 109

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

Apply this formula for all numbers.

Step1:

LCM(897, 342) = 102258

GCD(897, 342) = ( 897 x 342 ) / 102258

= 897 / 342

= 897

Step2:

LCM(3, 490) = 1470

GCD(3, 490) = ( 3 x 490 ) / 1470

= 3 / 490

= 3

Step3:

LCM(1, 109) = 109

GCD(1, 109) = ( 1 x 109 ) / 109

= 1 / 109

= 1

So, Greatest Common Divisor of 897, 342, 490, 109 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 269, 662, 173, 816
• GCD of 162, 747, 795, 901
• GCD of 606, 936, 221, 579
• GCD of 154, 741, 160, 111
• GCD of 866, 274, 142, 245

Given numbers are 897, 342, 490, 109
The greatest common divisor of numbers 897, 342, 490, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 342, 490, 109 is 1.

1. What is the GCD of 897, 342, 490, 109?

GCD of given numbers 897, 342, 490, 109 is 1

2. How to calculate the greatest common divisor of 897, 342, 490, 109?

We can find the highest common divisor of 897, 342, 490, 109 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 897, 342, 490, 109 i.e 1.

3. How can I use the GCD of 897, 342, 490, 109Calculator?

Out the numbers 897, 342, 490, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.