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, 177, 972, 386 i.e. 1 largest integer that divides all the numbers equally.
GCD of 134, 177, 972, 386 is 1
GCD(134, 177, 972, 386) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 134, 177, 972, 386 is 1
GCD(134, 177, 972, 386) = 1
Given Input numbers are 134, 177, 972, 386
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 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Greatest Common Divisior
We found the divisors of 134, 177, 972, 386 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 134, 177, 972, 386 is 1.
Therefore, GCD of numbers 134, 177, 972, 386 is 1
Given Input Data is 134, 177, 972, 386
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 134 is 2 x 67
Prime Factorization of 177 is 3 x 59
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime Factorization of 386 is 2 x 193
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, 177) = 23718
GCD(134, 177) = ( 134 x 177 ) / 23718
GCD(134, 177) = 23718 / 23718
GCD(134, 177) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 972) = 972
GCD(1, 972) = ( 1 x 972 ) / 972
GCD(1, 972) = 972 / 972
GCD(1, 972) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 386
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 386) = 386
GCD(1, 386) = ( 1 x 386 ) / 386
GCD(1, 386) = 386 / 386
GCD(1, 386) = 1
GCD of 134, 177, 972, 386 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 134, 177, 972, 386?
GCD of 134, 177, 972, 386 is 1
2. Where do I get the detailed procedure to find GCD of 134, 177, 972, 386?
You can find a detailed procedure to find GCD of 134, 177, 972, 386 on our page.
3. How to find GCD of 134, 177, 972, 386 on a calculator?
You can find the GCD of 134, 177, 972, 386 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.