GCD of 698, 686, 48, 440 Calculator

Given Input numbers are 698, 686, 48, 440

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

Divisors of 698

List of positive integer divisors of 698 that divides 698 without a remainder.

1, 2, 349, 698

Divisors of 686

List of positive integer divisors of 686 that divides 686 without a remainder.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 48

List of positive integer divisors of 48 that divides 48 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 440

List of positive integer divisors of 440 that divides 440 without a remainder.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Greatest Common Divisior

We found the divisors of 698, 686, 48, 440 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 686, 48, 440 is 2.

Therefore, GCD of numbers 698, 686, 48, 440 is 2

Given Input Data is 698, 686, 48, 440

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 686 is 2 x 7 x 7 x 7

Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3

Prime Factorization of 440 is 2 x 2 x 2 x 5 x 11

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(698, 686) = 239414

GCD(698, 686) = ( 698 x 686 ) / 239414

GCD(698, 686) = 478828 / 239414

GCD(698, 686) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 48

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

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

GCD(2, 48) = 96 / 48

GCD(2, 48) = 2

Step3:

Here we consider the GCD from the above i.e. 2 as first number and the next as 440

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

LCM(2, 440) = 440

GCD(2, 440) = ( 2 x 440 ) / 440

GCD(2, 440) = 880 / 440

GCD(2, 440) = 2

GCD of 698, 686, 48, 440 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 143, 807, 22, 573
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• GCD of 224, 994, 82, 636
• GCD of 287, 140, 94, 679
• GCD of 501, 776, 45, 218

1. What is the GCD of 698, 686, 48, 440?

GCD of 698, 686, 48, 440 is 2

2. Where do I get the detailed procedure to find GCD of 698, 686, 48, 440?

You can find a detailed procedure to find GCD of 698, 686, 48, 440 on our page.

3. How to find GCD of 698, 686, 48, 440 on a calculator?

You can find the GCD of 698, 686, 48, 440 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.