GCD of 83, 946, 514, 746 Calculator

Given Input numbers are 83, 946, 514, 746

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

Divisors of 83

List of positive integer divisors of 83 that divides 83 without a remainder.

1, 83

Divisors of 946

List of positive integer divisors of 946 that divides 946 without a remainder.

1, 2, 11, 22, 43, 86, 473, 946

Divisors of 514

List of positive integer divisors of 514 that divides 514 without a remainder.

1, 2, 257, 514

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Greatest Common Divisior

We found the divisors of 83, 946, 514, 746 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 946, 514, 746 is 1.

Therefore, GCD of numbers 83, 946, 514, 746 is 1

Given Input Data is 83, 946, 514, 746

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

Prime Factorization of 83 is 83

Prime Factorization of 946 is 2 x 11 x 43

Prime Factorization of 514 is 2 x 257

Prime Factorization of 746 is 2 x 373

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(83, 946) = 78518

GCD(83, 946) = ( 83 x 946 ) / 78518

GCD(83, 946) = 78518 / 78518

GCD(83, 946) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 514

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

LCM(1, 514) = 514

GCD(1, 514) = ( 1 x 514 ) / 514

GCD(1, 514) = 514 / 514

GCD(1, 514) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 746

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

LCM(1, 746) = 746

GCD(1, 746) = ( 1 x 746 ) / 746

GCD(1, 746) = 746 / 746

GCD(1, 746) = 1

GCD of 83, 946, 514, 746 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 84, 281, 329, 582
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• GCD of 18, 865, 608, 881

1. What is the GCD of 83, 946, 514, 746?

GCD of 83, 946, 514, 746 is 1

2. Where do I get the detailed procedure to find GCD of 83, 946, 514, 746?

You can find a detailed procedure to find GCD of 83, 946, 514, 746 on our page.

3. How to find GCD of 83, 946, 514, 746 on a calculator?

You can find the GCD of 83, 946, 514, 746 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.