GCD of 850, 516, 72, 734 Calculator

Given Input numbers are 850, 516, 72, 734

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 516

List of positive integer divisors of 516 that divides 516 without a remainder.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 72

List of positive integer divisors of 72 that divides 72 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

Divisors of 734

List of positive integer divisors of 734 that divides 734 without a remainder.

1, 2, 367, 734

Greatest Common Divisior

We found the divisors of 850, 516, 72, 734 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 850, 516, 72, 734 is 2.

Therefore, GCD of numbers 850, 516, 72, 734 is 2

Given Input Data is 850, 516, 72, 734

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 516 is 2 x 2 x 3 x 43

Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3

Prime Factorization of 734 is 2 x 367

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, 516) = 219300

GCD(850, 516) = ( 850 x 516 ) / 219300

GCD(850, 516) = 438600 / 219300

GCD(850, 516) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 72

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

LCM(2, 72) = 72

GCD(2, 72) = ( 2 x 72 ) / 72

GCD(2, 72) = 144 / 72

GCD(2, 72) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 734

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

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

GCD(2, 734) = 1468 / 734

GCD(2, 734) = 2

GCD of 850, 516, 72, 734 is 2

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• GCD of 102, 774, 59, 294
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• GCD of 902, 478, 42, 187
• GCD of 328, 647, 15, 496

1. What is the GCD of 850, 516, 72, 734?

GCD of 850, 516, 72, 734 is 2

2. Where do I get the detailed procedure to find GCD of 850, 516, 72, 734?

You can find a detailed procedure to find GCD of 850, 516, 72, 734 on our page.

3. How to find GCD of 850, 516, 72, 734 on a calculator?

You can find the GCD of 850, 516, 72, 734 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.