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 16, 202, 785, 707 i.e. 1 largest integer that divides all the numbers equally.
GCD of 16, 202, 785, 707 is 1
GCD(16, 202, 785, 707) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 16, 202, 785, 707 is 1
GCD(16, 202, 785, 707) = 1
Given Input numbers are 16, 202, 785, 707
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 16
List of positive integer divisors of 16 that divides 16 without a remainder.
1, 2, 4, 8, 16
Divisors of 202
List of positive integer divisors of 202 that divides 202 without a remainder.
1, 2, 101, 202
Divisors of 785
List of positive integer divisors of 785 that divides 785 without a remainder.
1, 5, 157, 785
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Greatest Common Divisior
We found the divisors of 16, 202, 785, 707 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 16, 202, 785, 707 is 1.
Therefore, GCD of numbers 16, 202, 785, 707 is 1
Given Input Data is 16, 202, 785, 707
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 16 is 2 x 2 x 2 x 2
Prime Factorization of 202 is 2 x 101
Prime Factorization of 785 is 5 x 157
Prime Factorization of 707 is 7 x 101
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(16, 202) = 1616
GCD(16, 202) = ( 16 x 202 ) / 1616
GCD(16, 202) = 3232 / 1616
GCD(16, 202) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 785
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 785) = 1570
GCD(2, 785) = ( 2 x 785 ) / 1570
GCD(2, 785) = 1570 / 1570
GCD(2, 785) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 707) = 707
GCD(1, 707) = ( 1 x 707 ) / 707
GCD(1, 707) = 707 / 707
GCD(1, 707) = 1
GCD of 16, 202, 785, 707 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 16, 202, 785, 707?
GCD of 16, 202, 785, 707 is 1
2. Where do I get the detailed procedure to find GCD of 16, 202, 785, 707?
You can find a detailed procedure to find GCD of 16, 202, 785, 707 on our page.
3. How to find GCD of 16, 202, 785, 707 on a calculator?
You can find the GCD of 16, 202, 785, 707 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.