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 901, 542, 200, 690 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 542, 200, 690 is 1
GCD(901, 542, 200, 690) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 542, 200, 690 is 1
GCD(901, 542, 200, 690) = 1
Given Input numbers are 901, 542, 200, 690
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 542
List of positive integer divisors of 542 that divides 542 without a remainder.
1, 2, 271, 542
Divisors of 200
List of positive integer divisors of 200 that divides 200 without a remainder.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 690
List of positive integer divisors of 690 that divides 690 without a remainder.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Greatest Common Divisior
We found the divisors of 901, 542, 200, 690 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 542, 200, 690 is 1.
Therefore, GCD of numbers 901, 542, 200, 690 is 1
Given Input Data is 901, 542, 200, 690
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 542 is 2 x 271
Prime Factorization of 200 is 2 x 2 x 2 x 5 x 5
Prime Factorization of 690 is 2 x 3 x 5 x 23
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(901, 542) = 488342
GCD(901, 542) = ( 901 x 542 ) / 488342
GCD(901, 542) = 488342 / 488342
GCD(901, 542) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 200
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 200) = 200
GCD(1, 200) = ( 1 x 200 ) / 200
GCD(1, 200) = 200 / 200
GCD(1, 200) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 690
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
GCD(1, 690) = 690 / 690
GCD(1, 690) = 1
GCD of 901, 542, 200, 690 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 542, 200, 690?
GCD of 901, 542, 200, 690 is 1
2. Where do I get the detailed procedure to find GCD of 901, 542, 200, 690?
You can find a detailed procedure to find GCD of 901, 542, 200, 690 on our page.
3. How to find GCD of 901, 542, 200, 690 on a calculator?
You can find the GCD of 901, 542, 200, 690 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.