GCD of 306, 746, 840 Calculator

Given Input numbers are 306, 746, 840

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

Divisors of 306

List of positive integer divisors of 306 that divides 306 without a remainder.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 746

List of positive integer divisors of 746 that divides 746 without a remainder.

1, 2, 373, 746

Divisors of 840

List of positive integer divisors of 840 that divides 840 without a remainder.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Greatest Common Divisior

We found the divisors of 306, 746, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 306, 746, 840 is 2.

Therefore, GCD of numbers 306, 746, 840 is 2

Given Input Data is 306, 746, 840

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

Prime Factorization of 306 is 2 x 3 x 3 x 17

Prime Factorization of 746 is 2 x 373

Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7

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(306, 746) = 114138

GCD(306, 746) = ( 306 x 746 ) / 114138

GCD(306, 746) = 228276 / 114138

GCD(306, 746) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 840

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

LCM(2, 840) = 840

GCD(2, 840) = ( 2 x 840 ) / 840

GCD(2, 840) = 1680 / 840

GCD(2, 840) = 2

GCD of 306, 746, 840 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 379, 389, 355
• GCD of 184, 768, 184
• GCD of 829, 537, 504
• GCD of 938, 615, 637
• GCD of 846, 654, 932

1. What is the GCD of 306, 746, 840?

GCD of 306, 746, 840 is 2

2. Where do I get the detailed procedure to find GCD of 306, 746, 840?

You can find a detailed procedure to find GCD of 306, 746, 840 on our page.

3. How to find GCD of 306, 746, 840 on a calculator?

You can find the GCD of 306, 746, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.