GCD of 497, 354, 659, 141 Calculator

Given Input numbers are 497, 354, 659, 141

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 497

List of positive integer divisors of 497 that divides 497 without a remainder.

1, 7, 71, 497

Divisors of 354

List of positive integer divisors of 354 that divides 354 without a remainder.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 659

List of positive integer divisors of 659 that divides 659 without a remainder.

1, 659

Divisors of 141

List of positive integer divisors of 141 that divides 141 without a remainder.

1, 3, 47, 141

Greatest Common Divisior

We found the divisors of 497, 354, 659, 141 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 497, 354, 659, 141 is 1.

Therefore, GCD of numbers 497, 354, 659, 141 is 1

Given Input Data is 497, 354, 659, 141

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 497 is 7 x 71

Prime Factorization of 354 is 2 x 3 x 59

Prime Factorization of 659 is 659

Prime Factorization of 141 is 3 x 47

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

Step1:

Let's calculate the GCD of first two numbers

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

LCM(497, 354) = 175938

GCD(497, 354) = ( 497 x 354 ) / 175938

GCD(497, 354) = 175938 / 175938

GCD(497, 354) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 659

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

LCM(1, 659) = 659

GCD(1, 659) = ( 1 x 659 ) / 659

GCD(1, 659) = 659 / 659

GCD(1, 659) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 141

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

LCM(1, 141) = 141

GCD(1, 141) = ( 1 x 141 ) / 141

GCD(1, 141) = 141 / 141

GCD(1, 141) = 1

GCD of 497, 354, 659, 141 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 569, 465, 910, 530
• GCD of 110, 615, 793, 375
• GCD of 340, 298, 120, 513
• GCD of 530, 825, 697, 162
• GCD of 704, 963, 815, 409

1. What is the GCD of 497, 354, 659, 141?

GCD of 497, 354, 659, 141 is 1

2. Where do I get the detailed procedure to find GCD of 497, 354, 659, 141?

You can find a detailed procedure to find GCD of 497, 354, 659, 141 on our page.

3. How to find GCD of 497, 354, 659, 141 on a calculator?

You can find the GCD of 497, 354, 659, 141 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.