GCD of 497, 141, 365, 999 Calculator

Given Input numbers are 497, 141, 365, 999

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 365 :

The positive integer divisors of 365 that completely divides 365 are.

1, 5, 73, 365

Divisors of 999 :

The positive integer divisors of 999 that completely divides 999 are.

1, 3, 9, 27, 37, 111, 333, 999

GCD of numbers is the greatest common divisor

So, the GCD (497, 141, 365, 999) = 1.

Given numbers are 497, 141, 365, 999

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 141 are 3 x 47

Prime factors of 365 are 5 x 73

Prime factors of 999 are 3 x 3 x 3 x 37

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

Given numbers are 497, 141, 365, 999

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

Apply this formula for all numbers.

Step1:

LCM(497, 141) = 70077

GCD(497, 141) = ( 497 x 141 ) / 70077

= 497 / 141

= 497

Step2:

LCM(1, 365) = 365

GCD(1, 365) = ( 1 x 365 ) / 365

= 1 / 365

= 1

Step3:

LCM(1, 999) = 999

GCD(1, 999) = ( 1 x 999 ) / 999

= 1 / 999

= 1

So, Greatest Common Divisor of 497, 141, 365, 999 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 545, 929, 639, 532
• GCD of 343, 666, 495, 243
• GCD of 149, 256, 337, 834
• GCD of 893, 388, 407, 458
• GCD of 855, 394, 103, 278

Given numbers are 497, 141, 365, 999
The greatest common divisor of numbers 497, 141, 365, 999 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 141, 365, 999 is 1.

1. What is the GCD of 497, 141, 365, 999?

GCD of given numbers 497, 141, 365, 999 is 1

2. How to calculate the greatest common divisor of 497, 141, 365, 999?

We can find the highest common divisor of 497, 141, 365, 999 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 497, 141, 365, 999 i.e 1.

3. How can I use the GCD of 497, 141, 365, 999Calculator?

Out the numbers 497, 141, 365, 999 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.