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 577, 587, 69, 840 i.e. 1 largest integer that divides all the numbers equally.
GCD of 577, 587, 69, 840 is 1
GCD(577, 587, 69, 840) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 577, 587, 69, 840 is 1
GCD(577, 587, 69, 840) = 1
Given Input numbers are 577, 587, 69, 840
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 577
List of positive integer divisors of 577 that divides 577 without a remainder.
1, 577
Divisors of 587
List of positive integer divisors of 587 that divides 587 without a remainder.
1, 587
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
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 577, 587, 69, 840 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 577, 587, 69, 840 is 1.
Therefore, GCD of numbers 577, 587, 69, 840 is 1
Given Input Data is 577, 587, 69, 840
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 577 is 577
Prime Factorization of 587 is 587
Prime Factorization of 69 is 3 x 23
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(577, 587) = 338699
GCD(577, 587) = ( 577 x 587 ) / 338699
GCD(577, 587) = 338699 / 338699
GCD(577, 587) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 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 577, 587, 69, 840 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 577, 587, 69, 840?
GCD of 577, 587, 69, 840 is 1
2. Where do I get the detailed procedure to find GCD of 577, 587, 69, 840?
You can find a detailed procedure to find GCD of 577, 587, 69, 840 on our page.
3. How to find GCD of 577, 587, 69, 840 on a calculator?
You can find the GCD of 577, 587, 69, 840 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.