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 154, 711, 849, 947 i.e. 1 largest integer that divides all the numbers equally.
GCD of 154, 711, 849, 947 is 1
GCD(154, 711, 849, 947) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 154, 711, 849, 947 is 1
GCD(154, 711, 849, 947) = 1
Given Input numbers are 154, 711, 849, 947
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 154
List of positive integer divisors of 154 that divides 154 without a remainder.
1, 2, 7, 11, 14, 22, 77, 154
Divisors of 711
List of positive integer divisors of 711 that divides 711 without a remainder.
1, 3, 9, 79, 237, 711
Divisors of 849
List of positive integer divisors of 849 that divides 849 without a remainder.
1, 3, 283, 849
Divisors of 947
List of positive integer divisors of 947 that divides 947 without a remainder.
1, 947
Greatest Common Divisior
We found the divisors of 154, 711, 849, 947 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 154, 711, 849, 947 is 1.
Therefore, GCD of numbers 154, 711, 849, 947 is 1
Given Input Data is 154, 711, 849, 947
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 154 is 2 x 7 x 11
Prime Factorization of 711 is 3 x 3 x 79
Prime Factorization of 849 is 3 x 283
Prime Factorization of 947 is 947
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(154, 711) = 109494
GCD(154, 711) = ( 154 x 711 ) / 109494
GCD(154, 711) = 109494 / 109494
GCD(154, 711) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 849
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 849) = 849
GCD(1, 849) = ( 1 x 849 ) / 849
GCD(1, 849) = 849 / 849
GCD(1, 849) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 947
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 947) = 947
GCD(1, 947) = ( 1 x 947 ) / 947
GCD(1, 947) = 947 / 947
GCD(1, 947) = 1
GCD of 154, 711, 849, 947 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 154, 711, 849, 947?
GCD of 154, 711, 849, 947 is 1
2. Where do I get the detailed procedure to find GCD of 154, 711, 849, 947?
You can find a detailed procedure to find GCD of 154, 711, 849, 947 on our page.
3. How to find GCD of 154, 711, 849, 947 on a calculator?
You can find the GCD of 154, 711, 849, 947 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.