GCD of 658, 799, 74, 153 Calculator

Given Input numbers are 658, 799, 74, 153

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

Divisors of 658

List of positive integer divisors of 658 that divides 658 without a remainder.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 799

List of positive integer divisors of 799 that divides 799 without a remainder.

1, 17, 47, 799

Divisors of 74

List of positive integer divisors of 74 that divides 74 without a remainder.

1, 2, 37, 74

Divisors of 153

List of positive integer divisors of 153 that divides 153 without a remainder.

1, 3, 9, 17, 51, 153

Greatest Common Divisior

We found the divisors of 658, 799, 74, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 799, 74, 153 is 1.

Therefore, GCD of numbers 658, 799, 74, 153 is 1

Given Input Data is 658, 799, 74, 153

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

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 799 is 17 x 47

Prime Factorization of 74 is 2 x 37

Prime Factorization of 153 is 3 x 3 x 17

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(658, 799) = 11186

GCD(658, 799) = ( 658 x 799 ) / 11186

GCD(658, 799) = 525742 / 11186

GCD(658, 799) = 47

Step2:

Here we consider the GCD from the above i.e. 47 as first number and the next as 74

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

LCM(47, 74) = 3478

GCD(47, 74) = ( 47 x 74 ) / 3478

GCD(47, 74) = 3478 / 3478

GCD(47, 74) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 153

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

LCM(1, 153) = 153

GCD(1, 153) = ( 1 x 153 ) / 153

GCD(1, 153) = 153 / 153

GCD(1, 153) = 1

GCD of 658, 799, 74, 153 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 420, 312, 91, 691
• GCD of 507, 626, 50, 495
• GCD of 856, 838, 51, 907
• GCD of 305, 446, 28, 533
• GCD of 216, 402, 55, 971

1. What is the GCD of 658, 799, 74, 153?

GCD of 658, 799, 74, 153 is 1

2. Where do I get the detailed procedure to find GCD of 658, 799, 74, 153?

You can find a detailed procedure to find GCD of 658, 799, 74, 153 on our page.

3. How to find GCD of 658, 799, 74, 153 on a calculator?

You can find the GCD of 658, 799, 74, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.