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 658, 570, 91, 177 i.e. 1 largest integer that divides all the numbers equally.
GCD of 658, 570, 91, 177 is 1
GCD(658, 570, 91, 177) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 658, 570, 91, 177 is 1
GCD(658, 570, 91, 177) = 1
Given Input numbers are 658, 570, 91, 177
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 658
List of positive integer divisors of 658 that divides 658 without a remainder.
1, 2, 7, 14, 47, 94, 329, 658
Divisors of 570
List of positive integer divisors of 570 that divides 570 without a remainder.
1, 2, 3, 5, 6, 10, 15, 19, 30, 38, 57, 95, 114, 190, 285, 570
Divisors of 91
List of positive integer divisors of 91 that divides 91 without a remainder.
1, 7, 13, 91
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Greatest Common Divisior
We found the divisors of 658, 570, 91, 177 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 658, 570, 91, 177 is 1.
Therefore, GCD of numbers 658, 570, 91, 177 is 1
Given Input Data is 658, 570, 91, 177
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 658 is 2 x 7 x 47
Prime Factorization of 570 is 2 x 3 x 5 x 19
Prime Factorization of 91 is 7 x 13
Prime Factorization of 177 is 3 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(658, 570) = 187530
GCD(658, 570) = ( 658 x 570 ) / 187530
GCD(658, 570) = 375060 / 187530
GCD(658, 570) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 91
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 91) = 182
GCD(2, 91) = ( 2 x 91 ) / 182
GCD(2, 91) = 182 / 182
GCD(2, 91) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 177
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 177) = 177
GCD(1, 177) = ( 1 x 177 ) / 177
GCD(1, 177) = 177 / 177
GCD(1, 177) = 1
GCD of 658, 570, 91, 177 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 658, 570, 91, 177?
GCD of 658, 570, 91, 177 is 1
2. Where do I get the detailed procedure to find GCD of 658, 570, 91, 177?
You can find a detailed procedure to find GCD of 658, 570, 91, 177 on our page.
3. How to find GCD of 658, 570, 91, 177 on a calculator?
You can find the GCD of 658, 570, 91, 177 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.