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 841, 709, 176, 102 i.e. 1 largest integer that divides all the numbers equally.
GCD of 841, 709, 176, 102 is 1
GCD(841, 709, 176, 102) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 841, 709, 176, 102 is 1
GCD(841, 709, 176, 102) = 1
Given Input numbers are 841, 709, 176, 102
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Divisors of 709
List of positive integer divisors of 709 that divides 709 without a remainder.
1, 709
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 102
List of positive integer divisors of 102 that divides 102 without a remainder.
1, 2, 3, 6, 17, 34, 51, 102
Greatest Common Divisior
We found the divisors of 841, 709, 176, 102 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 841, 709, 176, 102 is 1.
Therefore, GCD of numbers 841, 709, 176, 102 is 1
Given Input Data is 841, 709, 176, 102
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 841 is 29 x 29
Prime Factorization of 709 is 709
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 102 is 2 x 3 x 17
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(841, 709) = 596269
GCD(841, 709) = ( 841 x 709 ) / 596269
GCD(841, 709) = 596269 / 596269
GCD(841, 709) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 176
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 176) = 176
GCD(1, 176) = ( 1 x 176 ) / 176
GCD(1, 176) = 176 / 176
GCD(1, 176) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 102
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 102) = 102
GCD(1, 102) = ( 1 x 102 ) / 102
GCD(1, 102) = 102 / 102
GCD(1, 102) = 1
GCD of 841, 709, 176, 102 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 841, 709, 176, 102?
GCD of 841, 709, 176, 102 is 1
2. Where do I get the detailed procedure to find GCD of 841, 709, 176, 102?
You can find a detailed procedure to find GCD of 841, 709, 176, 102 on our page.
3. How to find GCD of 841, 709, 176, 102 on a calculator?
You can find the GCD of 841, 709, 176, 102 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.