GCD of 970, 938, 571, 705 Calculator

Given Input numbers are 970, 938, 571, 705

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

Divisors of 970

List of positive integer divisors of 970 that divides 970 without a remainder.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 938

List of positive integer divisors of 938 that divides 938 without a remainder.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 571

List of positive integer divisors of 571 that divides 571 without a remainder.

1, 571

Divisors of 705

List of positive integer divisors of 705 that divides 705 without a remainder.

1, 3, 5, 15, 47, 141, 235, 705

Greatest Common Divisior

We found the divisors of 970, 938, 571, 705 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 970, 938, 571, 705 is 1.

Therefore, GCD of numbers 970, 938, 571, 705 is 1

Given Input Data is 970, 938, 571, 705

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

Prime Factorization of 970 is 2 x 5 x 97

Prime Factorization of 938 is 2 x 7 x 67

Prime Factorization of 571 is 571

Prime Factorization of 705 is 3 x 5 x 47

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(970, 938) = 454930

GCD(970, 938) = ( 970 x 938 ) / 454930

GCD(970, 938) = 909860 / 454930

GCD(970, 938) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 571

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

LCM(2, 571) = 1142

GCD(2, 571) = ( 2 x 571 ) / 1142

GCD(2, 571) = 1142 / 1142

GCD(2, 571) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 705

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

LCM(1, 705) = 705

GCD(1, 705) = ( 1 x 705 ) / 705

GCD(1, 705) = 705 / 705

GCD(1, 705) = 1

GCD of 970, 938, 571, 705 is 1

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1. What is the GCD of 970, 938, 571, 705?

GCD of 970, 938, 571, 705 is 1

2. Where do I get the detailed procedure to find GCD of 970, 938, 571, 705?

You can find a detailed procedure to find GCD of 970, 938, 571, 705 on our page.

3. How to find GCD of 970, 938, 571, 705 on a calculator?

You can find the GCD of 970, 938, 571, 705 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.