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 429, 477, 701, 616 i.e. 1 largest integer that divides all the numbers equally.
GCD of 429, 477, 701, 616 is 1
GCD(429, 477, 701, 616) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 429, 477, 701, 616 is 1
GCD(429, 477, 701, 616) = 1
Given Input numbers are 429, 477, 701, 616
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 429
List of positive integer divisors of 429 that divides 429 without a remainder.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 701
List of positive integer divisors of 701 that divides 701 without a remainder.
1, 701
Divisors of 616
List of positive integer divisors of 616 that divides 616 without a remainder.
1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616
Greatest Common Divisior
We found the divisors of 429, 477, 701, 616 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 429, 477, 701, 616 is 1.
Therefore, GCD of numbers 429, 477, 701, 616 is 1
Given Input Data is 429, 477, 701, 616
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 429 is 3 x 11 x 13
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 701 is 701
Prime Factorization of 616 is 2 x 2 x 2 x 7 x 11
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(429, 477) = 68211
GCD(429, 477) = ( 429 x 477 ) / 68211
GCD(429, 477) = 204633 / 68211
GCD(429, 477) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 701
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 701) = 2103
GCD(3, 701) = ( 3 x 701 ) / 2103
GCD(3, 701) = 2103 / 2103
GCD(3, 701) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 616
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 616) = 616
GCD(1, 616) = ( 1 x 616 ) / 616
GCD(1, 616) = 616 / 616
GCD(1, 616) = 1
GCD of 429, 477, 701, 616 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 429, 477, 701, 616?
GCD of 429, 477, 701, 616 is 1
2. Where do I get the detailed procedure to find GCD of 429, 477, 701, 616?
You can find a detailed procedure to find GCD of 429, 477, 701, 616 on our page.
3. How to find GCD of 429, 477, 701, 616 on a calculator?
You can find the GCD of 429, 477, 701, 616 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.