GCD of 820, 962, 91, 142 Calculator

Given Input numbers are 820, 962, 91, 142

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

Divisors of 820

List of positive integer divisors of 820 that divides 820 without a remainder.

1, 2, 4, 5, 10, 20, 41, 82, 164, 205, 410, 820

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Divisors of 91

List of positive integer divisors of 91 that divides 91 without a remainder.

1, 7, 13, 91

Divisors of 142

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

1, 2, 71, 142

Greatest Common Divisior

We found the divisors of 820, 962, 91, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 820, 962, 91, 142 is 1.

Therefore, GCD of numbers 820, 962, 91, 142 is 1

Given Input Data is 820, 962, 91, 142

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

Prime Factorization of 820 is 2 x 2 x 5 x 41

Prime Factorization of 962 is 2 x 13 x 37

Prime Factorization of 91 is 7 x 13

Prime Factorization of 142 is 2 x 71

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(820, 962) = 394420

GCD(820, 962) = ( 820 x 962 ) / 394420

GCD(820, 962) = 788840 / 394420

GCD(820, 962) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 91

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

LCM(2, 91) = 182

GCD(2, 91) = ( 2 x 91 ) / 182

GCD(2, 91) = 182 / 182

GCD(2, 91) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 142

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

LCM(1, 142) = 142

GCD(1, 142) = ( 1 x 142 ) / 142

GCD(1, 142) = 142 / 142

GCD(1, 142) = 1

GCD of 820, 962, 91, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 386, 199, 93, 321
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• GCD of 989, 783, 14, 280
• GCD of 998, 940, 60, 683
• GCD of 208, 149, 14, 991

1. What is the GCD of 820, 962, 91, 142?

GCD of 820, 962, 91, 142 is 1

2. Where do I get the detailed procedure to find GCD of 820, 962, 91, 142?

You can find a detailed procedure to find GCD of 820, 962, 91, 142 on our page.

3. How to find GCD of 820, 962, 91, 142 on a calculator?

You can find the GCD of 820, 962, 91, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.