GCD of 971, 523, 42, 670 Calculator

Given Input numbers are 971, 523, 42, 670

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

Divisors of 971

List of positive integer divisors of 971 that divides 971 without a remainder.

1, 971

Divisors of 523

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

1, 523

Divisors of 42

List of positive integer divisors of 42 that divides 42 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 670

List of positive integer divisors of 670 that divides 670 without a remainder.

1, 2, 5, 10, 67, 134, 335, 670

Greatest Common Divisior

We found the divisors of 971, 523, 42, 670 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 971, 523, 42, 670 is 1.

Therefore, GCD of numbers 971, 523, 42, 670 is 1

Given Input Data is 971, 523, 42, 670

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

Prime Factorization of 971 is 971

Prime Factorization of 523 is 523

Prime Factorization of 42 is 2 x 3 x 7

Prime Factorization of 670 is 2 x 5 x 67

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(971, 523) = 507833

GCD(971, 523) = ( 971 x 523 ) / 507833

GCD(971, 523) = 507833 / 507833

GCD(971, 523) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 42

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

LCM(1, 42) = 42

GCD(1, 42) = ( 1 x 42 ) / 42

GCD(1, 42) = 42 / 42

GCD(1, 42) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 670

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

LCM(1, 670) = 670

GCD(1, 670) = ( 1 x 670 ) / 670

GCD(1, 670) = 670 / 670

GCD(1, 670) = 1

GCD of 971, 523, 42, 670 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 187, 179, 60, 291
• GCD of 746, 979, 85, 520
• GCD of 333, 522, 38, 805
• GCD of 255, 612, 48, 794
• GCD of 241, 813, 63, 358

1. What is the GCD of 971, 523, 42, 670?

GCD of 971, 523, 42, 670 is 1

2. Where do I get the detailed procedure to find GCD of 971, 523, 42, 670?

You can find a detailed procedure to find GCD of 971, 523, 42, 670 on our page.

3. How to find GCD of 971, 523, 42, 670 on a calculator?

You can find the GCD of 971, 523, 42, 670 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.