GCD of 75, 838, 236, 674 Calculator

Given Input numbers are 75, 838, 236, 674

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

Divisors of 75

List of positive integer divisors of 75 that divides 75 without a remainder.

1, 3, 5, 15, 25, 75

Divisors of 838

List of positive integer divisors of 838 that divides 838 without a remainder.

1, 2, 419, 838

Divisors of 236

List of positive integer divisors of 236 that divides 236 without a remainder.

1, 2, 4, 59, 118, 236

Divisors of 674

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

1, 2, 337, 674

Greatest Common Divisior

We found the divisors of 75, 838, 236, 674 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 75, 838, 236, 674 is 1.

Therefore, GCD of numbers 75, 838, 236, 674 is 1

Given Input Data is 75, 838, 236, 674

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

Prime Factorization of 75 is 3 x 5 x 5

Prime Factorization of 838 is 2 x 419

Prime Factorization of 236 is 2 x 2 x 59

Prime Factorization of 674 is 2 x 337

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(75, 838) = 62850

GCD(75, 838) = ( 75 x 838 ) / 62850

GCD(75, 838) = 62850 / 62850

GCD(75, 838) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 236

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

LCM(1, 236) = 236

GCD(1, 236) = ( 1 x 236 ) / 236

GCD(1, 236) = 236 / 236

GCD(1, 236) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 674

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

LCM(1, 674) = 674

GCD(1, 674) = ( 1 x 674 ) / 674

GCD(1, 674) = 674 / 674

GCD(1, 674) = 1

GCD of 75, 838, 236, 674 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 615, 698, 513
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• GCD of 39, 840, 798, 734
• GCD of 50, 928, 375, 351
• GCD of 70, 206, 273, 713

1. What is the GCD of 75, 838, 236, 674?

GCD of 75, 838, 236, 674 is 1

2. Where do I get the detailed procedure to find GCD of 75, 838, 236, 674?

You can find a detailed procedure to find GCD of 75, 838, 236, 674 on our page.

3. How to find GCD of 75, 838, 236, 674 on a calculator?

You can find the GCD of 75, 838, 236, 674 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.