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 801, 945, 85, 357 i.e. 1 largest integer that divides all the numbers equally.
GCD of 801, 945, 85, 357 is 1
GCD(801, 945, 85, 357) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 801, 945, 85, 357 is 1
GCD(801, 945, 85, 357) = 1
Given Input numbers are 801, 945, 85, 357
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Divisors of 85
List of positive integer divisors of 85 that divides 85 without a remainder.
1, 5, 17, 85
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Greatest Common Divisior
We found the divisors of 801, 945, 85, 357 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 801, 945, 85, 357 is 1.
Therefore, GCD of numbers 801, 945, 85, 357 is 1
Given Input Data is 801, 945, 85, 357
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
Prime Factorization of 85 is 5 x 17
Prime Factorization of 357 is 3 x 7 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(801, 945) = 84105
GCD(801, 945) = ( 801 x 945 ) / 84105
GCD(801, 945) = 756945 / 84105
GCD(801, 945) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 85
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 85) = 765
GCD(9, 85) = ( 9 x 85 ) / 765
GCD(9, 85) = 765 / 765
GCD(9, 85) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 357
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
GCD(1, 357) = 357 / 357
GCD(1, 357) = 1
GCD of 801, 945, 85, 357 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 801, 945, 85, 357?
GCD of 801, 945, 85, 357 is 1
2. Where do I get the detailed procedure to find GCD of 801, 945, 85, 357?
You can find a detailed procedure to find GCD of 801, 945, 85, 357 on our page.
3. How to find GCD of 801, 945, 85, 357 on a calculator?
You can find the GCD of 801, 945, 85, 357 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.