GCD of 657, 840, 350, 989 Calculator

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Make use of GCD Calculator to determine the Greatest Common Divisor of 657, 840, 350, 989 i.e. 1 largest integer that divides all the numbers equally.

GCD of 657, 840, 350, 989 is 1

GCD(657, 840, 350, 989) = 1

Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345

GCD of

GCD of numbers 657, 840, 350, 989 is 1

GCD(657, 840, 350, 989) = 1

GCD of 657,840,350,989 Calculator

GCDof 657,840,350,989 is 1

Given Input numbers are 657, 840, 350, 989

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

Divisors of 657

List of positive integer divisors of 657 that divides 657 without a remainder.

1, 3, 9, 73, 219, 657

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

Divisors of 350

List of positive integer divisors of 350 that divides 350 without a remainder.

1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350

Divisors of 989

List of positive integer divisors of 989 that divides 989 without a remainder.

1, 23, 43, 989

Greatest Common Divisior

We found the divisors of 657, 840, 350, 989 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 657, 840, 350, 989 is 1.

Therefore, GCD of numbers 657, 840, 350, 989 is 1

Finding GCD of 657, 840, 350, 989 using Prime Factorization

Given Input Data is 657, 840, 350, 989

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

Prime Factorization of 657 is 3 x 3 x 73

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

Prime Factorization of 350 is 2 x 5 x 5 x 7

Prime Factorization of 989 is 23 x 43

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

Finding GCD of 657, 840, 350, 989 using LCM Formula

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(657, 840) = 183960

GCD(657, 840) = ( 657 x 840 ) / 183960

GCD(657, 840) = 551880 / 183960

GCD(657, 840) = 3


Step2:

Here we consider the GCD from the above i.e. 3 as first number and the next as 350

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

LCM(3, 350) = 1050

GCD(3, 350) = ( 3 x 350 ) / 1050

GCD(3, 350) = 1050 / 1050

GCD(3, 350) = 1


Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 989

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

LCM(1, 989) = 989

GCD(1, 989) = ( 1 x 989 ) / 989

GCD(1, 989) = 989 / 989

GCD(1, 989) = 1

GCD of 657, 840, 350, 989 is 1

GCD of Numbers Calculation Examples

FAQs on GCD of numbers 657, 840, 350, 989

1. What is the GCD of 657, 840, 350, 989?

GCD of 657, 840, 350, 989 is 1


2. Where do I get the detailed procedure to find GCD of 657, 840, 350, 989?

You can find a detailed procedure to find GCD of 657, 840, 350, 989 on our page.


3. How to find GCD of 657, 840, 350, 989 on a calculator?

You can find the GCD of 657, 840, 350, 989 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.