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 940, 357, 90, 400 i.e. 1 largest integer that divides all the numbers equally.
GCD of 940, 357, 90, 400 is 1
GCD(940, 357, 90, 400) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 940, 357, 90, 400 is 1
GCD(940, 357, 90, 400) = 1
Given Input numbers are 940, 357, 90, 400
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 940
List of positive integer divisors of 940 that divides 940 without a remainder.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
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 90
List of positive integer divisors of 90 that divides 90 without a remainder.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
Divisors of 400
List of positive integer divisors of 400 that divides 400 without a remainder.
1, 2, 4, 5, 8, 10, 16, 20, 25, 40, 50, 80, 100, 200, 400
Greatest Common Divisior
We found the divisors of 940, 357, 90, 400 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 940, 357, 90, 400 is 1.
Therefore, GCD of numbers 940, 357, 90, 400 is 1
Given Input Data is 940, 357, 90, 400
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 940 is 2 x 2 x 5 x 47
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 90 is 2 x 3 x 3 x 5
Prime Factorization of 400 is 2 x 2 x 2 x 2 x 5 x 5
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(940, 357) = 335580
GCD(940, 357) = ( 940 x 357 ) / 335580
GCD(940, 357) = 335580 / 335580
GCD(940, 357) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 90
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 90) = 90
GCD(1, 90) = ( 1 x 90 ) / 90
GCD(1, 90) = 90 / 90
GCD(1, 90) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 400
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 400) = 400
GCD(1, 400) = ( 1 x 400 ) / 400
GCD(1, 400) = 400 / 400
GCD(1, 400) = 1
GCD of 940, 357, 90, 400 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 940, 357, 90, 400?
GCD of 940, 357, 90, 400 is 1
2. Where do I get the detailed procedure to find GCD of 940, 357, 90, 400?
You can find a detailed procedure to find GCD of 940, 357, 90, 400 on our page.
3. How to find GCD of 940, 357, 90, 400 on a calculator?
You can find the GCD of 940, 357, 90, 400 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.