GCD of 83, 170, 752, 237 Calculator

Given Input numbers are 83, 170, 752, 237

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 170

List of positive integer divisors of 170 that divides 170 without a remainder.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 752

List of positive integer divisors of 752 that divides 752 without a remainder.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 237

List of positive integer divisors of 237 that divides 237 without a remainder.

1, 3, 79, 237

Greatest Common Divisior

We found the divisors of 83, 170, 752, 237 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 83, 170, 752, 237 is 1.

Therefore, GCD of numbers 83, 170, 752, 237 is 1

Given Input Data is 83, 170, 752, 237

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

Prime Factorization of 83 is 83

Prime Factorization of 170 is 2 x 5 x 17

Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47

Prime Factorization of 237 is 3 x 79

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, 170) = 14110

GCD(83, 170) = ( 83 x 170 ) / 14110

GCD(83, 170) = 14110 / 14110

GCD(83, 170) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 752

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

LCM(1, 752) = 752

GCD(1, 752) = ( 1 x 752 ) / 752

GCD(1, 752) = 752 / 752

GCD(1, 752) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 237

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

LCM(1, 237) = 237

GCD(1, 237) = ( 1 x 237 ) / 237

GCD(1, 237) = 237 / 237

GCD(1, 237) = 1

GCD of 83, 170, 752, 237 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 50, 917, 644, 762
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• GCD of 61, 210, 303, 478
• GCD of 88, 383, 991, 534
• GCD of 31, 347, 153, 760

1. What is the GCD of 83, 170, 752, 237?

GCD of 83, 170, 752, 237 is 1

2. Where do I get the detailed procedure to find GCD of 83, 170, 752, 237?

You can find a detailed procedure to find GCD of 83, 170, 752, 237 on our page.

3. How to find GCD of 83, 170, 752, 237 on a calculator?

You can find the GCD of 83, 170, 752, 237 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.