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 716, 168, 715, 642 i.e. 1 largest integer that divides all the numbers equally.
GCD of 716, 168, 715, 642 is 1
GCD(716, 168, 715, 642) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 716, 168, 715, 642 is 1
GCD(716, 168, 715, 642) = 1
Given Input numbers are 716, 168, 715, 642
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 716
List of positive integer divisors of 716 that divides 716 without a remainder.
1, 2, 4, 179, 358, 716
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Divisors of 715
List of positive integer divisors of 715 that divides 715 without a remainder.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Greatest Common Divisior
We found the divisors of 716, 168, 715, 642 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 716, 168, 715, 642 is 1.
Therefore, GCD of numbers 716, 168, 715, 642 is 1
Given Input Data is 716, 168, 715, 642
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 716 is 2 x 2 x 179
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
Prime Factorization of 715 is 5 x 11 x 13
Prime Factorization of 642 is 2 x 3 x 107
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(716, 168) = 30072
GCD(716, 168) = ( 716 x 168 ) / 30072
GCD(716, 168) = 120288 / 30072
GCD(716, 168) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 715
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 715) = 2860
GCD(4, 715) = ( 4 x 715 ) / 2860
GCD(4, 715) = 2860 / 2860
GCD(4, 715) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 642
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 642) = 642
GCD(1, 642) = ( 1 x 642 ) / 642
GCD(1, 642) = 642 / 642
GCD(1, 642) = 1
GCD of 716, 168, 715, 642 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 716, 168, 715, 642?
GCD of 716, 168, 715, 642 is 1
2. Where do I get the detailed procedure to find GCD of 716, 168, 715, 642?
You can find a detailed procedure to find GCD of 716, 168, 715, 642 on our page.
3. How to find GCD of 716, 168, 715, 642 on a calculator?
You can find the GCD of 716, 168, 715, 642 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.