GCD of 369, 749, 897 Calculator

Given Input numbers are 369, 749, 897

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

Divisors of 369 :

The positive integer divisors of 369 that completely divides 369 are.

1, 3, 9, 41, 123, 369

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 897 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (369, 749, 897) = 1.

Given numbers are 369, 749, 897

The list of prime factors of all numbers are

Prime factors of 369 are 3 x 3 x 41

Prime factors of 749 are 7 x 107

Prime factors of 897 are 3 x 13 x 23

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

Given numbers are 369, 749, 897

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

Apply this formula for all numbers.

Step1:

LCM(369, 749) = 276381

GCD(369, 749) = ( 369 x 749 ) / 276381

= 369 / 749

= 369

Step2:

LCM(1, 897) = 897

GCD(1, 897) = ( 1 x 897 ) / 897

= 1 / 897

= 1

So, Greatest Common Divisor of 369, 749, 897 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 538, 650, 445
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Given numbers are 369, 749, 897
The greatest common divisor of numbers 369, 749, 897 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 369, 749, 897 is 1.

1. What is the GCD of 369, 749, 897?

GCD of given numbers 369, 749, 897 is 1

2. How to calculate the greatest common divisor of 369, 749, 897?

We can find the highest common divisor of 369, 749, 897 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 369, 749, 897 i.e 1.

3. How can I use the GCD of 369, 749, 897Calculator?

Out the numbers 369, 749, 897 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.