GCD of 698, 380, 77, 840 Calculator

Given Input numbers are 698, 380, 77, 840

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 380

List of positive integer divisors of 380 that divides 380 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 77

List of positive integer divisors of 77 that divides 77 without a remainder.

1, 7, 11, 77

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 698, 380, 77, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 698, 380, 77, 840 is 1.

Therefore, GCD of numbers 698, 380, 77, 840 is 1

Given Input Data is 698, 380, 77, 840

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

Prime Factorization of 698 is 2 x 349

Prime Factorization of 380 is 2 x 2 x 5 x 19

Prime Factorization of 77 is 7 x 11

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

The above numbers do not have any common prime factor. So GCD is 1

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, 380) = 132620

GCD(698, 380) = ( 698 x 380 ) / 132620

GCD(698, 380) = 265240 / 132620

GCD(698, 380) = 2

Step2:

Here we consider the GCD from the above i.e. 2 as first number and the next as 77

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

LCM(2, 77) = 154

GCD(2, 77) = ( 2 x 77 ) / 154

GCD(2, 77) = 154 / 154

GCD(2, 77) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 840

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

LCM(1, 840) = 840

GCD(1, 840) = ( 1 x 840 ) / 840

GCD(1, 840) = 840 / 840

GCD(1, 840) = 1

GCD of 698, 380, 77, 840 is 1

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1. What is the GCD of 698, 380, 77, 840?

GCD of 698, 380, 77, 840 is 1

2. Where do I get the detailed procedure to find GCD of 698, 380, 77, 840?

You can find a detailed procedure to find GCD of 698, 380, 77, 840 on our page.

3. How to find GCD of 698, 380, 77, 840 on a calculator?

You can find the GCD of 698, 380, 77, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.