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 35, 770, 423, 469 i.e. 1 largest integer that divides all the numbers equally.
GCD of 35, 770, 423, 469 is 1
GCD(35, 770, 423, 469) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 35, 770, 423, 469 is 1
GCD(35, 770, 423, 469) = 1
Given Input numbers are 35, 770, 423, 469
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 35
List of positive integer divisors of 35 that divides 35 without a remainder.
1, 5, 7, 35
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 469
List of positive integer divisors of 469 that divides 469 without a remainder.
1, 7, 67, 469
Greatest Common Divisior
We found the divisors of 35, 770, 423, 469 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 35, 770, 423, 469 is 1.
Therefore, GCD of numbers 35, 770, 423, 469 is 1
Given Input Data is 35, 770, 423, 469
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 35 is 5 x 7
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 469 is 7 x 67
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(35, 770) = 770
GCD(35, 770) = ( 35 x 770 ) / 770
GCD(35, 770) = 26950 / 770
GCD(35, 770) = 35
Step2:
Here we consider the GCD from the above i.e. 35 as first number and the next as 423
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(35, 423) = 14805
GCD(35, 423) = ( 35 x 423 ) / 14805
GCD(35, 423) = 14805 / 14805
GCD(35, 423) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 469
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 469) = 469
GCD(1, 469) = ( 1 x 469 ) / 469
GCD(1, 469) = 469 / 469
GCD(1, 469) = 1
GCD of 35, 770, 423, 469 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 35, 770, 423, 469?
GCD of 35, 770, 423, 469 is 1
2. Where do I get the detailed procedure to find GCD of 35, 770, 423, 469?
You can find a detailed procedure to find GCD of 35, 770, 423, 469 on our page.
3. How to find GCD of 35, 770, 423, 469 on a calculator?
You can find the GCD of 35, 770, 423, 469 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.