GCD of 206, 709, 70, 762 Calculator

Given Input numbers are 206, 709, 70, 762

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

Divisors of 206

List of positive integer divisors of 206 that divides 206 without a remainder.

1, 2, 103, 206

Divisors of 709

List of positive integer divisors of 709 that divides 709 without a remainder.

1, 709

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 762

List of positive integer divisors of 762 that divides 762 without a remainder.

1, 2, 3, 6, 127, 254, 381, 762

Greatest Common Divisior

We found the divisors of 206, 709, 70, 762 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 206, 709, 70, 762 is 1.

Therefore, GCD of numbers 206, 709, 70, 762 is 1

Given Input Data is 206, 709, 70, 762

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

Prime Factorization of 206 is 2 x 103

Prime Factorization of 709 is 709

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 762 is 2 x 3 x 127

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(206, 709) = 146054

GCD(206, 709) = ( 206 x 709 ) / 146054

GCD(206, 709) = 146054 / 146054

GCD(206, 709) = 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 762

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

LCM(1, 762) = 762

GCD(1, 762) = ( 1 x 762 ) / 762

GCD(1, 762) = 762 / 762

GCD(1, 762) = 1

GCD of 206, 709, 70, 762 is 1

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1. What is the GCD of 206, 709, 70, 762?

GCD of 206, 709, 70, 762 is 1

2. Where do I get the detailed procedure to find GCD of 206, 709, 70, 762?

You can find a detailed procedure to find GCD of 206, 709, 70, 762 on our page.

3. How to find GCD of 206, 709, 70, 762 on a calculator?

You can find the GCD of 206, 709, 70, 762 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.