GCD of 897, 753, 120, 423 Calculator

Given Input numbers are 897, 753, 120, 423

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 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

Divisors of 423 :

The positive integer divisors of 423 that completely divides 423 are.

1, 3, 9, 47, 141, 423

GCD of numbers is the greatest common divisor

So, the GCD (897, 753, 120, 423) = 3.

Given numbers are 897, 753, 120, 423

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 753 are 3 x 251

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

Prime factors of 423 are 3 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 897, 753, 120, 423 is 3.

Given numbers are 897, 753, 120, 423

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

Apply this formula for all numbers.

Step1:

LCM(897, 753) = 225147

GCD(897, 753) = ( 897 x 753 ) / 225147

= 897 / 753

= 897

Step2:

LCM(3, 120) = 120

GCD(3, 120) = ( 3 x 120 ) / 120

= 3 / 120

= 3

Step3:

LCM(3, 423) = 423

GCD(3, 423) = ( 3 x 423 ) / 423

= 3 / 423

= 3

So, Greatest Common Divisor of 897, 753, 120, 423 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 871, 435, 923, 756
• GCD of 945, 944, 674, 119
• GCD of 992, 661, 317, 812
• GCD of 937, 618, 430, 441
• GCD of 283, 731, 595, 943

Given numbers are 897, 753, 120, 423
The greatest common divisor of numbers 897, 753, 120, 423 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 753, 120, 423 is 3.

1. What is the GCD of 897, 753, 120, 423?

GCD of given numbers 897, 753, 120, 423 is 3

2. How to calculate the greatest common divisor of 897, 753, 120, 423?

We can find the highest common divisor of 897, 753, 120, 423 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, 753, 120, 423 i.e 3.

3. How can I use the GCD of 897, 753, 120, 423Calculator?

Out the numbers 897, 753, 120, 423 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.