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 142, 328, 947, 977 i.e. 1 largest integer that divides all the numbers equally.
GCD of 142, 328, 947, 977 is 1
GCD(142, 328, 947, 977) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 142, 328, 947, 977 is 1
GCD(142, 328, 947, 977) = 1
Given Input numbers are 142, 328, 947, 977
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 142
List of positive integer divisors of 142 that divides 142 without a remainder.
1, 2, 71, 142
Divisors of 328
List of positive integer divisors of 328 that divides 328 without a remainder.
1, 2, 4, 8, 41, 82, 164, 328
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Greatest Common Divisior
We found the divisors of 142, 328, 947, 977 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 142, 328, 947, 977 is 1.
Therefore, GCD of numbers 142, 328, 947, 977 is 1
Given Input Data is 142, 328, 947, 977
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 142 is 2 x 71
Prime Factorization of 328 is 2 x 2 x 2 x 41
Prime Factorization of 947 is 947
Prime Factorization of 977 is 977
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(142, 328) = 23288
GCD(142, 328) = ( 142 x 328 ) / 23288
GCD(142, 328) = 46576 / 23288
GCD(142, 328) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 947) = 1894
GCD(2, 947) = ( 2 x 947 ) / 1894
GCD(2, 947) = 1894 / 1894
GCD(2, 947) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 977
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 977) = 977
GCD(1, 977) = ( 1 x 977 ) / 977
GCD(1, 977) = 977 / 977
GCD(1, 977) = 1
GCD of 142, 328, 947, 977 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 142, 328, 947, 977?
GCD of 142, 328, 947, 977 is 1
2. Where do I get the detailed procedure to find GCD of 142, 328, 947, 977?
You can find a detailed procedure to find GCD of 142, 328, 947, 977 on our page.
3. How to find GCD of 142, 328, 947, 977 on a calculator?
You can find the GCD of 142, 328, 947, 977 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.