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 357, 100, 985, 703 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 100, 985, 703 is 1
GCD(357, 100, 985, 703) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 100, 985, 703 is 1
GCD(357, 100, 985, 703) = 1
Given Input numbers are 357, 100, 985, 703
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 985
List of positive integer divisors of 985 that divides 985 without a remainder.
1, 5, 197, 985
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Greatest Common Divisior
We found the divisors of 357, 100, 985, 703 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 100, 985, 703 is 1.
Therefore, GCD of numbers 357, 100, 985, 703 is 1
Given Input Data is 357, 100, 985, 703
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 100 is 2 x 2 x 5 x 5
Prime Factorization of 985 is 5 x 197
Prime Factorization of 703 is 19 x 37
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(357, 100) = 35700
GCD(357, 100) = ( 357 x 100 ) / 35700
GCD(357, 100) = 35700 / 35700
GCD(357, 100) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 985
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 985) = 985
GCD(1, 985) = ( 1 x 985 ) / 985
GCD(1, 985) = 985 / 985
GCD(1, 985) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 703
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 703) = 703
GCD(1, 703) = ( 1 x 703 ) / 703
GCD(1, 703) = 703 / 703
GCD(1, 703) = 1
GCD of 357, 100, 985, 703 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 100, 985, 703?
GCD of 357, 100, 985, 703 is 1
2. Where do I get the detailed procedure to find GCD of 357, 100, 985, 703?
You can find a detailed procedure to find GCD of 357, 100, 985, 703 on our page.
3. How to find GCD of 357, 100, 985, 703 on a calculator?
You can find the GCD of 357, 100, 985, 703 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.