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 63, 209, 661, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 63, 209, 661, 374 is 1
GCD(63, 209, 661, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 63, 209, 661, 374 is 1
GCD(63, 209, 661, 374) = 1
Given Input numbers are 63, 209, 661, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 63
List of positive integer divisors of 63 that divides 63 without a remainder.
1, 3, 7, 9, 21, 63
Divisors of 209
List of positive integer divisors of 209 that divides 209 without a remainder.
1, 11, 19, 209
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 63, 209, 661, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 63, 209, 661, 374 is 1.
Therefore, GCD of numbers 63, 209, 661, 374 is 1
Given Input Data is 63, 209, 661, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 63 is 3 x 3 x 7
Prime Factorization of 209 is 11 x 19
Prime Factorization of 661 is 661
Prime Factorization of 374 is 2 x 11 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(63, 209) = 13167
GCD(63, 209) = ( 63 x 209 ) / 13167
GCD(63, 209) = 13167 / 13167
GCD(63, 209) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 661) = 661
GCD(1, 661) = ( 1 x 661 ) / 661
GCD(1, 661) = 661 / 661
GCD(1, 661) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 63, 209, 661, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 63, 209, 661, 374?
GCD of 63, 209, 661, 374 is 1
2. Where do I get the detailed procedure to find GCD of 63, 209, 661, 374?
You can find a detailed procedure to find GCD of 63, 209, 661, 374 on our page.
3. How to find GCD of 63, 209, 661, 374 on a calculator?
You can find the GCD of 63, 209, 661, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.