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 854, 769, 473, 147 i.e. 1 largest integer that divides all the numbers equally.
GCD of 854, 769, 473, 147 is 1
GCD(854, 769, 473, 147) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 854, 769, 473, 147 is 1
GCD(854, 769, 473, 147) = 1
Given Input numbers are 854, 769, 473, 147
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 854
List of positive integer divisors of 854 that divides 854 without a remainder.
1, 2, 7, 14, 61, 122, 427, 854
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 473
List of positive integer divisors of 473 that divides 473 without a remainder.
1, 11, 43, 473
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Greatest Common Divisior
We found the divisors of 854, 769, 473, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 854, 769, 473, 147 is 1.
Therefore, GCD of numbers 854, 769, 473, 147 is 1
Given Input Data is 854, 769, 473, 147
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 854 is 2 x 7 x 61
Prime Factorization of 769 is 769
Prime Factorization of 473 is 11 x 43
Prime Factorization of 147 is 3 x 7 x 7
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(854, 769) = 656726
GCD(854, 769) = ( 854 x 769 ) / 656726
GCD(854, 769) = 656726 / 656726
GCD(854, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 473
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 473) = 473
GCD(1, 473) = ( 1 x 473 ) / 473
GCD(1, 473) = 473 / 473
GCD(1, 473) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
GCD(1, 147) = 147 / 147
GCD(1, 147) = 1
GCD of 854, 769, 473, 147 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 854, 769, 473, 147?
GCD of 854, 769, 473, 147 is 1
2. Where do I get the detailed procedure to find GCD of 854, 769, 473, 147?
You can find a detailed procedure to find GCD of 854, 769, 473, 147 on our page.
3. How to find GCD of 854, 769, 473, 147 on a calculator?
You can find the GCD of 854, 769, 473, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.