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 414, 776, 237, 387 i.e. 1 largest integer that divides all the numbers equally.
GCD of 414, 776, 237, 387 is 1
GCD(414, 776, 237, 387) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 414, 776, 237, 387 is 1
GCD(414, 776, 237, 387) = 1
Given Input numbers are 414, 776, 237, 387
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 414
List of positive integer divisors of 414 that divides 414 without a remainder.
1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 237
List of positive integer divisors of 237 that divides 237 without a remainder.
1, 3, 79, 237
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Greatest Common Divisior
We found the divisors of 414, 776, 237, 387 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 414, 776, 237, 387 is 1.
Therefore, GCD of numbers 414, 776, 237, 387 is 1
Given Input Data is 414, 776, 237, 387
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 414 is 2 x 3 x 3 x 23
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 237 is 3 x 79
Prime Factorization of 387 is 3 x 3 x 43
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(414, 776) = 160632
GCD(414, 776) = ( 414 x 776 ) / 160632
GCD(414, 776) = 321264 / 160632
GCD(414, 776) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 237
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 237) = 474
GCD(2, 237) = ( 2 x 237 ) / 474
GCD(2, 237) = 474 / 474
GCD(2, 237) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 387) = 387
GCD(1, 387) = ( 1 x 387 ) / 387
GCD(1, 387) = 387 / 387
GCD(1, 387) = 1
GCD of 414, 776, 237, 387 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 414, 776, 237, 387?
GCD of 414, 776, 237, 387 is 1
2. Where do I get the detailed procedure to find GCD of 414, 776, 237, 387?
You can find a detailed procedure to find GCD of 414, 776, 237, 387 on our page.
3. How to find GCD of 414, 776, 237, 387 on a calculator?
You can find the GCD of 414, 776, 237, 387 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.