GCD of 897, 351, 537, 135 Calculator

Given Input numbers are 897, 351, 537, 135

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 351 :

The positive integer divisors of 351 that completely divides 351 are.

1, 3, 9, 13, 27, 39, 117, 351

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 135 :

The positive integer divisors of 135 that completely divides 135 are.

1, 3, 5, 9, 15, 27, 45, 135

GCD of numbers is the greatest common divisor

So, the GCD (897, 351, 537, 135) = 3.

Given numbers are 897, 351, 537, 135

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 351 are 3 x 3 x 3 x 13

Prime factors of 537 are 3 x 179

Prime factors of 135 are 3 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 897, 351, 537, 135 is 3.

Given numbers are 897, 351, 537, 135

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

Apply this formula for all numbers.

Step1:

LCM(897, 351) = 8073

GCD(897, 351) = ( 897 x 351 ) / 8073

= 897 / 351

= 897

Step2:

LCM(39, 537) = 6981

GCD(39, 537) = ( 39 x 537 ) / 6981

= 39 / 537

= 39

Step3:

LCM(3, 135) = 135

GCD(3, 135) = ( 3 x 135 ) / 135

= 3 / 135

= 3

So, Greatest Common Divisor of 897, 351, 537, 135 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 324, 297, 946, 337
• GCD of 260, 144, 351, 158
• GCD of 678, 976, 870, 350
• GCD of 929, 216, 356, 394
• GCD of 703, 928, 258, 539

Given numbers are 897, 351, 537, 135
The greatest common divisor of numbers 897, 351, 537, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 351, 537, 135 is 3.

1. What is the GCD of 897, 351, 537, 135?

GCD of given numbers 897, 351, 537, 135 is 3

2. How to calculate the greatest common divisor of 897, 351, 537, 135?

We can find the highest common divisor of 897, 351, 537, 135 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, 351, 537, 135 i.e 3.

3. How can I use the GCD of 897, 351, 537, 135Calculator?

Out the numbers 897, 351, 537, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.