GCD of 846, 662, 72, 614 Calculator

Given Input numbers are 846, 662, 72, 614

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

Divisors of 846

List of positive integer divisors of 846 that divides 846 without a remainder.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

Divisors of 662

List of positive integer divisors of 662 that divides 662 without a remainder.

1, 2, 331, 662

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 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 846, 662, 72, 614 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 846, 662, 72, 614 is 2.

Therefore, GCD of numbers 846, 662, 72, 614 is 2

Given Input Data is 846, 662, 72, 614

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

Prime Factorization of 846 is 2 x 3 x 3 x 47

Prime Factorization of 662 is 2 x 331

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

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(846, 662) = 280026

GCD(846, 662) = ( 846 x 662 ) / 280026

GCD(846, 662) = 560052 / 280026

GCD(846, 662) = 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 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 846, 662, 72, 614 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 354, 194, 46, 407
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• GCD of 655, 497, 19, 708
• GCD of 108, 803, 17, 145

1. What is the GCD of 846, 662, 72, 614?

GCD of 846, 662, 72, 614 is 2

2. Where do I get the detailed procedure to find GCD of 846, 662, 72, 614?

You can find a detailed procedure to find GCD of 846, 662, 72, 614 on our page.

3. How to find GCD of 846, 662, 72, 614 on a calculator?

You can find the GCD of 846, 662, 72, 614 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.