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 134, 740, 943, 300 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 740, 943, 300 is 1
GCD(134, 740, 943, 300) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 740, 943, 300 is 1
GCD(134, 740, 943, 300) = 1
Given Input numbers are 134, 740, 943, 300
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Divisors of 740
List of positive integer divisors of 740 that divides 740 without a remainder.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 943
List of positive integer divisors of 943 that divides 943 without a remainder.
1, 23, 41, 943
Divisors of 300
List of positive integer divisors of 300 that divides 300 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Greatest Common Divisior
We found the divisors of 134, 740, 943, 300 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 740, 943, 300 is 1.
Therefore, GCD of numbers 134, 740, 943, 300 is 1
Given Input Data is 134, 740, 943, 300
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 740 is 2 x 2 x 5 x 37
Prime Factorization of 943 is 23 x 41
Prime Factorization of 300 is 2 x 2 x 3 x 5 x 5
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(134, 740) = 49580
GCD(134, 740) = ( 134 x 740 ) / 49580
GCD(134, 740) = 99160 / 49580
GCD(134, 740) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 943
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 943) = 1886
GCD(2, 943) = ( 2 x 943 ) / 1886
GCD(2, 943) = 1886 / 1886
GCD(2, 943) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 300
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 300) = 300
GCD(1, 300) = ( 1 x 300 ) / 300
GCD(1, 300) = 300 / 300
GCD(1, 300) = 1
GCD of 134, 740, 943, 300 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 740, 943, 300?
GCD of 134, 740, 943, 300 is 1
2. Where do I get the detailed procedure to find GCD of 134, 740, 943, 300?
You can find a detailed procedure to find GCD of 134, 740, 943, 300 on our page.
3. How to find GCD of 134, 740, 943, 300 on a calculator?
You can find the GCD of 134, 740, 943, 300 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.