GCD of 850, 362, 904, 614 Calculator

Given Input numbers are 850, 362, 904, 614

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

Divisors of 850

List of positive integer divisors of 850 that divides 850 without a remainder.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

Divisors of 362

List of positive integer divisors of 362 that divides 362 without a remainder.

1, 2, 181, 362

Divisors of 904

List of positive integer divisors of 904 that divides 904 without a remainder.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 614

List of positive integer divisors of 614 that divides 614 without a remainder.

1, 2, 307, 614

Greatest Common Divisior

We found the divisors of 850, 362, 904, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 362, 904, 614 is 2.

Therefore, GCD of numbers 850, 362, 904, 614 is 2

Given Input Data is 850, 362, 904, 614

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

Prime Factorization of 850 is 2 x 5 x 5 x 17

Prime Factorization of 362 is 2 x 181

Prime Factorization of 904 is 2 x 2 x 2 x 113

Prime Factorization of 614 is 2 x 307

Highest common occurrences in the given inputs are 2¹

Multiplying them we get the GCD as 2

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(850, 362) = 153850

GCD(850, 362) = ( 850 x 362 ) / 153850

GCD(850, 362) = 307700 / 153850

GCD(850, 362) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 904

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

LCM(2, 904) = 904

GCD(2, 904) = ( 2 x 904 ) / 904

GCD(2, 904) = 1808 / 904

GCD(2, 904) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 614

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

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

GCD(2, 614) = 1228 / 614

GCD(2, 614) = 2

GCD of 850, 362, 904, 614 is 2

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• GCD of 703, 137, 542, 634
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1. What is the GCD of 850, 362, 904, 614?

GCD of 850, 362, 904, 614 is 2

2. Where do I get the detailed procedure to find GCD of 850, 362, 904, 614?

You can find a detailed procedure to find GCD of 850, 362, 904, 614 on our page.

3. How to find GCD of 850, 362, 904, 614 on a calculator?

You can find the GCD of 850, 362, 904, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.