GCD of 861, 674, 535, 743 Calculator

Given Input numbers are 861, 674, 535, 743

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

Divisors of 861

List of positive integer divisors of 861 that divides 861 without a remainder.

1, 3, 7, 21, 41, 123, 287, 861

Divisors of 674

List of positive integer divisors of 674 that divides 674 without a remainder.

1, 2, 337, 674

Divisors of 535

List of positive integer divisors of 535 that divides 535 without a remainder.

1, 5, 107, 535

Divisors of 743

List of positive integer divisors of 743 that divides 743 without a remainder.

1, 743

Greatest Common Divisior

We found the divisors of 861, 674, 535, 743 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 861, 674, 535, 743 is 1.

Therefore, GCD of numbers 861, 674, 535, 743 is 1

Given Input Data is 861, 674, 535, 743

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

Prime Factorization of 861 is 3 x 7 x 41

Prime Factorization of 674 is 2 x 337

Prime Factorization of 535 is 5 x 107

Prime Factorization of 743 is 743

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(861, 674) = 580314

GCD(861, 674) = ( 861 x 674 ) / 580314

GCD(861, 674) = 580314 / 580314

GCD(861, 674) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 535

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

LCM(1, 535) = 535

GCD(1, 535) = ( 1 x 535 ) / 535

GCD(1, 535) = 535 / 535

GCD(1, 535) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 743

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

LCM(1, 743) = 743

GCD(1, 743) = ( 1 x 743 ) / 743

GCD(1, 743) = 743 / 743

GCD(1, 743) = 1

GCD of 861, 674, 535, 743 is 1

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1. What is the GCD of 861, 674, 535, 743?

GCD of 861, 674, 535, 743 is 1

2. Where do I get the detailed procedure to find GCD of 861, 674, 535, 743?

You can find a detailed procedure to find GCD of 861, 674, 535, 743 on our page.

3. How to find GCD of 861, 674, 535, 743 on a calculator?

You can find the GCD of 861, 674, 535, 743 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.