GCD of 742, 369, 997 Calculator

Given Input numbers are 742, 369, 997

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 369 :

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

1, 3, 9, 41, 123, 369

Divisors of 997 :

The positive integer divisors of 997 that completely divides 997 are.

1, 997

GCD of numbers is the greatest common divisor

So, the GCD (742, 369, 997) = 1.

Given numbers are 742, 369, 997

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 369 are 3 x 3 x 41

Prime factors of 997 are 997

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

Given numbers are 742, 369, 997

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

Apply this formula for all numbers.

Step1:

LCM(742, 369) = 273798

GCD(742, 369) = ( 742 x 369 ) / 273798

= 742 / 369

= 742

Step2:

LCM(1, 997) = 997

GCD(1, 997) = ( 1 x 997 ) / 997

= 1 / 997

= 1

So, Greatest Common Divisor of 742, 369, 997 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 428, 426
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Given numbers are 742, 369, 997
The greatest common divisor of numbers 742, 369, 997 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 369, 997 is 1.

1. What is the GCD of 742, 369, 997?

GCD of given numbers 742, 369, 997 is 1

2. How to calculate the greatest common divisor of 742, 369, 997?

We can find the highest common divisor of 742, 369, 997 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 742, 369, 997 i.e 1.

3. How can I use the GCD of 742, 369, 997Calculator?

Out the numbers 742, 369, 997 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.