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 70, 155, 853, 528 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 155, 853, 528 is 1
GCD(70, 155, 853, 528) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 155, 853, 528 is 1
GCD(70, 155, 853, 528) = 1
Given Input numbers are 70, 155, 853, 528
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
Divisors of 853
List of positive integer divisors of 853 that divides 853 without a remainder.
1, 853
Divisors of 528
List of positive integer divisors of 528 that divides 528 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528
Greatest Common Divisior
We found the divisors of 70, 155, 853, 528 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 155, 853, 528 is 1.
Therefore, GCD of numbers 70, 155, 853, 528 is 1
Given Input Data is 70, 155, 853, 528
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 155 is 5 x 31
Prime Factorization of 853 is 853
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
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(70, 155) = 2170
GCD(70, 155) = ( 70 x 155 ) / 2170
GCD(70, 155) = 10850 / 2170
GCD(70, 155) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 853
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 853) = 4265
GCD(5, 853) = ( 5 x 853 ) / 4265
GCD(5, 853) = 4265 / 4265
GCD(5, 853) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 528) = 528
GCD(1, 528) = ( 1 x 528 ) / 528
GCD(1, 528) = 528 / 528
GCD(1, 528) = 1
GCD of 70, 155, 853, 528 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 155, 853, 528?
GCD of 70, 155, 853, 528 is 1
2. Where do I get the detailed procedure to find GCD of 70, 155, 853, 528?
You can find a detailed procedure to find GCD of 70, 155, 853, 528 on our page.
3. How to find GCD of 70, 155, 853, 528 on a calculator?
You can find the GCD of 70, 155, 853, 528 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.