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, 620, 700, 153 i.e. 1 largest integer that divides all the numbers equally.
GCD of 55, 620, 700, 153 is 1
GCD(55, 620, 700, 153) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 55, 620, 700, 153 is 1
GCD(55, 620, 700, 153) = 1
Given Input numbers are 55, 620, 700, 153
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 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Greatest Common Divisior
We found the divisors of 55, 620, 700, 153 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 55, 620, 700, 153 is 1.
Therefore, GCD of numbers 55, 620, 700, 153 is 1
Given Input Data is 55, 620, 700, 153
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 55 is 5 x 11
Prime Factorization of 620 is 2 x 2 x 5 x 31
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 153 is 3 x 3 x 17
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, 620) = 6820
GCD(55, 620) = ( 55 x 620 ) / 6820
GCD(55, 620) = 34100 / 6820
GCD(55, 620) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 700) = 700
GCD(5, 700) = ( 5 x 700 ) / 700
GCD(5, 700) = 3500 / 700
GCD(5, 700) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 153) = 765
GCD(5, 153) = ( 5 x 153 ) / 765
GCD(5, 153) = 765 / 765
GCD(5, 153) = 1
GCD of 55, 620, 700, 153 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 55, 620, 700, 153?
GCD of 55, 620, 700, 153 is 1
2. Where do I get the detailed procedure to find GCD of 55, 620, 700, 153?
You can find a detailed procedure to find GCD of 55, 620, 700, 153 on our page.
3. How to find GCD of 55, 620, 700, 153 on a calculator?
You can find the GCD of 55, 620, 700, 153 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.