GCD of 523, 851, 70, 142 Calculator

Given Input numbers are 523, 851, 70, 142

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

Divisors of 523

List of positive integer divisors of 523 that divides 523 without a remainder.

1, 523

Divisors of 851

List of positive integer divisors of 851 that divides 851 without a remainder.

1, 23, 37, 851

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

1, 2, 5, 7, 10, 14, 35, 70

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 523, 851, 70, 142 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 523, 851, 70, 142 is 1.

Therefore, GCD of numbers 523, 851, 70, 142 is 1

Given Input Data is 523, 851, 70, 142

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

Prime Factorization of 523 is 523

Prime Factorization of 851 is 23 x 37

Prime Factorization of 70 is 2 x 5 x 7

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(523, 851) = 445073

GCD(523, 851) = ( 523 x 851 ) / 445073

GCD(523, 851) = 445073 / 445073

GCD(523, 851) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 70

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

LCM(1, 70) = 70

GCD(1, 70) = ( 1 x 70 ) / 70

GCD(1, 70) = 70 / 70

GCD(1, 70) = 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 523, 851, 70, 142 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 998, 883, 61, 209
• GCD of 467, 740, 91, 931
• GCD of 707, 148, 41, 484
• GCD of 757, 764, 99, 986
• GCD of 382, 659, 47, 603

1. What is the GCD of 523, 851, 70, 142?

GCD of 523, 851, 70, 142 is 1

2. Where do I get the detailed procedure to find GCD of 523, 851, 70, 142?

You can find a detailed procedure to find GCD of 523, 851, 70, 142 on our page.

3. How to find GCD of 523, 851, 70, 142 on a calculator?

You can find the GCD of 523, 851, 70, 142 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.