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 700, 181, 153, 118 i.e. 1 largest integer that divides all the numbers equally.
GCD of 700, 181, 153, 118 is 1
GCD(700, 181, 153, 118) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 700, 181, 153, 118 is 1
GCD(700, 181, 153, 118) = 1
Given Input numbers are 700, 181, 153, 118
To find the GCD of numbers using factoring list out all the divisors of each number
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 181
List of positive integer divisors of 181 that divides 181 without a remainder.
1, 181
Divisors of 153
List of positive integer divisors of 153 that divides 153 without a remainder.
1, 3, 9, 17, 51, 153
Divisors of 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Greatest Common Divisior
We found the divisors of 700, 181, 153, 118 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 700, 181, 153, 118 is 1.
Therefore, GCD of numbers 700, 181, 153, 118 is 1
Given Input Data is 700, 181, 153, 118
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 181 is 181
Prime Factorization of 153 is 3 x 3 x 17
Prime Factorization of 118 is 2 x 59
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(700, 181) = 126700
GCD(700, 181) = ( 700 x 181 ) / 126700
GCD(700, 181) = 126700 / 126700
GCD(700, 181) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 153
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 153) = 153
GCD(1, 153) = ( 1 x 153 ) / 153
GCD(1, 153) = 153 / 153
GCD(1, 153) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 118
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 118) = 118
GCD(1, 118) = ( 1 x 118 ) / 118
GCD(1, 118) = 118 / 118
GCD(1, 118) = 1
GCD of 700, 181, 153, 118 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 700, 181, 153, 118?
GCD of 700, 181, 153, 118 is 1
2. Where do I get the detailed procedure to find GCD of 700, 181, 153, 118?
You can find a detailed procedure to find GCD of 700, 181, 153, 118 on our page.
3. How to find GCD of 700, 181, 153, 118 on a calculator?
You can find the GCD of 700, 181, 153, 118 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.