GCD of 756, 838, 610, 750 Calculator

Given Input numbers are 756, 838, 610, 750

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

Divisors of 756

List of positive integer divisors of 756 that divides 756 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 838

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

1, 2, 419, 838

Divisors of 610

List of positive integer divisors of 610 that divides 610 without a remainder.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 750

List of positive integer divisors of 750 that divides 750 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Greatest Common Divisior

We found the divisors of 756, 838, 610, 750 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 838, 610, 750 is 2.

Therefore, GCD of numbers 756, 838, 610, 750 is 2

Given Input Data is 756, 838, 610, 750

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

Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7

Prime Factorization of 838 is 2 x 419

Prime Factorization of 610 is 2 x 5 x 61

Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5

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(756, 838) = 316764

GCD(756, 838) = ( 756 x 838 ) / 316764

GCD(756, 838) = 633528 / 316764

GCD(756, 838) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 610

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

LCM(2, 610) = 610

GCD(2, 610) = ( 2 x 610 ) / 610

GCD(2, 610) = 1220 / 610

GCD(2, 610) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 750

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

LCM(2, 750) = 750

GCD(2, 750) = ( 2 x 750 ) / 750

GCD(2, 750) = 1500 / 750

GCD(2, 750) = 2

GCD of 756, 838, 610, 750 is 2

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1. What is the GCD of 756, 838, 610, 750?

GCD of 756, 838, 610, 750 is 2

2. Where do I get the detailed procedure to find GCD of 756, 838, 610, 750?

You can find a detailed procedure to find GCD of 756, 838, 610, 750 on our page.

3. How to find GCD of 756, 838, 610, 750 on a calculator?

You can find the GCD of 756, 838, 610, 750 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.