GCD of 120, 897, 450, 343 Calculator

Given Input numbers are 120, 897, 450, 343

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

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 897 :

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

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

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 343 :

The positive integer divisors of 343 that completely divides 343 are.

1, 7, 49, 343

GCD of numbers is the greatest common divisor

So, the GCD (120, 897, 450, 343) = 1.

Given numbers are 120, 897, 450, 343

The list of prime factors of all numbers are

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

Prime factors of 897 are 3 x 13 x 23

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 343 are 7 x 7 x 7

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

Given numbers are 120, 897, 450, 343

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

Apply this formula for all numbers.

Step1:

LCM(120, 897) = 35880

GCD(120, 897) = ( 120 x 897 ) / 35880

= 120 / 897

= 120

Step2:

LCM(3, 450) = 450

GCD(3, 450) = ( 3 x 450 ) / 450

= 3 / 450

= 3

Step3:

LCM(3, 343) = 1029

GCD(3, 343) = ( 3 x 343 ) / 1029

= 3 / 343

= 3

So, Greatest Common Divisor of 120, 897, 450, 343 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 900, 701, 925, 395
• GCD of 252, 237, 479, 878
• GCD of 912, 999, 526, 775
• GCD of 782, 722, 516, 550
• GCD of 534, 742, 983, 159

Given numbers are 120, 897, 450, 343
The greatest common divisor of numbers 120, 897, 450, 343 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 897, 450, 343 is 1.

1. What is the GCD of 120, 897, 450, 343?

GCD of given numbers 120, 897, 450, 343 is 1

2. How to calculate the greatest common divisor of 120, 897, 450, 343?

We can find the highest common divisor of 120, 897, 450, 343 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 120, 897, 450, 343 i.e 1.

3. How can I use the GCD of 120, 897, 450, 343Calculator?

Out the numbers 120, 897, 450, 343 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.