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 670, 134, 75, 893 i.e. 1 largest integer that divides all the numbers equally.
GCD of 670, 134, 75, 893 is 1
GCD(670, 134, 75, 893) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 670, 134, 75, 893 is 1
GCD(670, 134, 75, 893) = 1
Given Input numbers are 670, 134, 75, 893
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 75
List of positive integer divisors of 75 that divides 75 without a remainder.
1, 3, 5, 15, 25, 75
Divisors of 893
List of positive integer divisors of 893 that divides 893 without a remainder.
1, 19, 47, 893
Greatest Common Divisior
We found the divisors of 670, 134, 75, 893 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 670, 134, 75, 893 is 1.
Therefore, GCD of numbers 670, 134, 75, 893 is 1
Given Input Data is 670, 134, 75, 893
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 134 is 2 x 67
Prime Factorization of 75 is 3 x 5 x 5
Prime Factorization of 893 is 19 x 47
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(670, 134) = 670
GCD(670, 134) = ( 670 x 134 ) / 670
GCD(670, 134) = 89780 / 670
GCD(670, 134) = 134
Step2:
Here we consider the GCD from the above i.e. 134 as first number and the next as 75
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(134, 75) = 10050
GCD(134, 75) = ( 134 x 75 ) / 10050
GCD(134, 75) = 10050 / 10050
GCD(134, 75) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 893
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 893) = 893
GCD(1, 893) = ( 1 x 893 ) / 893
GCD(1, 893) = 893 / 893
GCD(1, 893) = 1
GCD of 670, 134, 75, 893 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 670, 134, 75, 893?
GCD of 670, 134, 75, 893 is 1
2. Where do I get the detailed procedure to find GCD of 670, 134, 75, 893?
You can find a detailed procedure to find GCD of 670, 134, 75, 893 on our page.
3. How to find GCD of 670, 134, 75, 893 on a calculator?
You can find the GCD of 670, 134, 75, 893 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.