GCD of 142, 658, 69, 114 Calculator

Given Input numbers are 142, 658, 69, 114

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

Divisors of 142

List of positive integer divisors of 142 that divides 142 without a remainder.

1, 2, 71, 142

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 69

List of positive integer divisors of 69 that divides 69 without a remainder.

1, 3, 23, 69

Divisors of 114

List of positive integer divisors of 114 that divides 114 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114

Greatest Common Divisior

We found the divisors of 142, 658, 69, 114 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 658, 69, 114 is 1.

Therefore, GCD of numbers 142, 658, 69, 114 is 1

Given Input Data is 142, 658, 69, 114

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

Prime Factorization of 142 is 2 x 71

Prime Factorization of 658 is 2 x 7 x 47

Prime Factorization of 69 is 3 x 23

Prime Factorization of 114 is 2 x 3 x 19

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(142, 658) = 46718

GCD(142, 658) = ( 142 x 658 ) / 46718

GCD(142, 658) = 93436 / 46718

GCD(142, 658) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 69

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

LCM(2, 69) = 138

GCD(2, 69) = ( 2 x 69 ) / 138

GCD(2, 69) = 138 / 138

GCD(2, 69) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 114

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

LCM(1, 114) = 114

GCD(1, 114) = ( 1 x 114 ) / 114

GCD(1, 114) = 114 / 114

GCD(1, 114) = 1

GCD of 142, 658, 69, 114 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 720, 580, 77, 714
• GCD of 367, 996, 17, 536
• GCD of 263, 759, 45, 939
• GCD of 437, 856, 68, 956
• GCD of 257, 646, 34, 145

1. What is the GCD of 142, 658, 69, 114?

GCD of 142, 658, 69, 114 is 1

2. Where do I get the detailed procedure to find GCD of 142, 658, 69, 114?

You can find a detailed procedure to find GCD of 142, 658, 69, 114 on our page.

3. How to find GCD of 142, 658, 69, 114 on a calculator?

You can find the GCD of 142, 658, 69, 114 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.