GCD of 67, 749, 661, 794 Calculator

Given Input numbers are 67, 749, 661, 794

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

Divisors of 67

List of positive integer divisors of 67 that divides 67 without a remainder.

1, 67

Divisors of 749

List of positive integer divisors of 749 that divides 749 without a remainder.

1, 7, 107, 749

Divisors of 661

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

1, 661

Divisors of 794

List of positive integer divisors of 794 that divides 794 without a remainder.

1, 2, 397, 794

Greatest Common Divisior

We found the divisors of 67, 749, 661, 794 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 67, 749, 661, 794 is 1.

Therefore, GCD of numbers 67, 749, 661, 794 is 1

Given Input Data is 67, 749, 661, 794

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

Prime Factorization of 67 is 67

Prime Factorization of 749 is 7 x 107

Prime Factorization of 661 is 661

Prime Factorization of 794 is 2 x 397

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(67, 749) = 50183

GCD(67, 749) = ( 67 x 749 ) / 50183

GCD(67, 749) = 50183 / 50183

GCD(67, 749) = 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 794

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

LCM(1, 794) = 794

GCD(1, 794) = ( 1 x 794 ) / 794

GCD(1, 794) = 794 / 794

GCD(1, 794) = 1

GCD of 67, 749, 661, 794 is 1

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1. What is the GCD of 67, 749, 661, 794?

GCD of 67, 749, 661, 794 is 1

2. Where do I get the detailed procedure to find GCD of 67, 749, 661, 794?

You can find a detailed procedure to find GCD of 67, 749, 661, 794 on our page.

3. How to find GCD of 67, 749, 661, 794 on a calculator?

You can find the GCD of 67, 749, 661, 794 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.