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 55, 840, 755, 631 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 840, 755, 631 is 1
GCD(55, 840, 755, 631) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 840, 755, 631 is 1
GCD(55, 840, 755, 631) = 1
Given Input numbers are 55, 840, 755, 631
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 55
List of positive integer divisors of 55 that divides 55 without a remainder.
1, 5, 11, 55
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 755
List of positive integer divisors of 755 that divides 755 without a remainder.
1, 5, 151, 755
Divisors of 631
List of positive integer divisors of 631 that divides 631 without a remainder.
1, 631
Greatest Common Divisior
We found the divisors of 55, 840, 755, 631 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 840, 755, 631 is 1.
Therefore, GCD of numbers 55, 840, 755, 631 is 1
Given Input Data is 55, 840, 755, 631
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 755 is 5 x 151
Prime Factorization of 631 is 631
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(55, 840) = 9240
GCD(55, 840) = ( 55 x 840 ) / 9240
GCD(55, 840) = 46200 / 9240
GCD(55, 840) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 755
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 755) = 755
GCD(5, 755) = ( 5 x 755 ) / 755
GCD(5, 755) = 3775 / 755
GCD(5, 755) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 631
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 631) = 3155
GCD(5, 631) = ( 5 x 631 ) / 3155
GCD(5, 631) = 3155 / 3155
GCD(5, 631) = 1
GCD of 55, 840, 755, 631 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 840, 755, 631?
GCD of 55, 840, 755, 631 is 1
2. Where do I get the detailed procedure to find GCD of 55, 840, 755, 631?
You can find a detailed procedure to find GCD of 55, 840, 755, 631 on our page.
3. How to find GCD of 55, 840, 755, 631 on a calculator?
You can find the GCD of 55, 840, 755, 631 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.