GCD of 762, 713, 661, 172 Calculator

Given Input numbers are 762, 713, 661, 172

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

Divisors of 762

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

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

Divisors of 713

List of positive integer divisors of 713 that divides 713 without a remainder.

1, 23, 31, 713

Divisors of 661

List of positive integer divisors of 661 that divides 661 without a remainder.

1, 661

Divisors of 172

List of positive integer divisors of 172 that divides 172 without a remainder.

1, 2, 4, 43, 86, 172

Greatest Common Divisior

We found the divisors of 762, 713, 661, 172 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 762, 713, 661, 172 is 1.

Therefore, GCD of numbers 762, 713, 661, 172 is 1

Given Input Data is 762, 713, 661, 172

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

Prime Factorization of 762 is 2 x 3 x 127

Prime Factorization of 713 is 23 x 31

Prime Factorization of 661 is 661

Prime Factorization of 172 is 2 x 2 x 43

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(762, 713) = 543306

GCD(762, 713) = ( 762 x 713 ) / 543306

GCD(762, 713) = 543306 / 543306

GCD(762, 713) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 661

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

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

GCD(1, 661) = 661 / 661

GCD(1, 661) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 172

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

LCM(1, 172) = 172

GCD(1, 172) = ( 1 x 172 ) / 172

GCD(1, 172) = 172 / 172

GCD(1, 172) = 1

GCD of 762, 713, 661, 172 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 627, 739, 315, 465
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• GCD of 615, 470, 333, 830
• GCD of 371, 184, 695, 305

1. What is the GCD of 762, 713, 661, 172?

GCD of 762, 713, 661, 172 is 1

2. Where do I get the detailed procedure to find GCD of 762, 713, 661, 172?

You can find a detailed procedure to find GCD of 762, 713, 661, 172 on our page.

3. How to find GCD of 762, 713, 661, 172 on a calculator?

You can find the GCD of 762, 713, 661, 172 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.