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, 188, 528, 858 i.e. 2 largest integer that divides all the numbers equally.
GCD of 70, 188, 528, 858 is 2
GCD(70, 188, 528, 858) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 188, 528, 858 is 2
GCD(70, 188, 528, 858) = 2
Given Input numbers are 70, 188, 528, 858
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 188
List of positive integer divisors of 188 that divides 188 without a remainder.
1, 2, 4, 47, 94, 188
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
Divisors of 858
List of positive integer divisors of 858 that divides 858 without a remainder.
1, 2, 3, 6, 11, 13, 22, 26, 33, 39, 66, 78, 143, 286, 429, 858
Greatest Common Divisior
We found the divisors of 70, 188, 528, 858 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 188, 528, 858 is 2.
Therefore, GCD of numbers 70, 188, 528, 858 is 2
Given Input Data is 70, 188, 528, 858
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 188 is 2 x 2 x 47
Prime Factorization of 528 is 2 x 2 x 2 x 2 x 3 x 11
Prime Factorization of 858 is 2 x 3 x 11 x 13
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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, 188) = 6580
GCD(70, 188) = ( 70 x 188 ) / 6580
GCD(70, 188) = 13160 / 6580
GCD(70, 188) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 528
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 528) = 528
GCD(2, 528) = ( 2 x 528 ) / 528
GCD(2, 528) = 1056 / 528
GCD(2, 528) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 858
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 858) = 858
GCD(2, 858) = ( 2 x 858 ) / 858
GCD(2, 858) = 1716 / 858
GCD(2, 858) = 2
GCD of 70, 188, 528, 858 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 188, 528, 858?
GCD of 70, 188, 528, 858 is 2
2. Where do I get the detailed procedure to find GCD of 70, 188, 528, 858?
You can find a detailed procedure to find GCD of 70, 188, 528, 858 on our page.
3. How to find GCD of 70, 188, 528, 858 on a calculator?
You can find the GCD of 70, 188, 528, 858 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.