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 numbers 657, 840, 350, 989 is 1
GCD(657, 840, 350, 989) = 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
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
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
Here are some samples of GCD of Numbers calculations.
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.