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 378, 552, 59, 411 i.e. 1 largest integer that divides all the numbers equally.
GCD of 378, 552, 59, 411 is 1
GCD(378, 552, 59, 411) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 378, 552, 59, 411 is 1
GCD(378, 552, 59, 411) = 1
Given Input numbers are 378, 552, 59, 411
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 411
List of positive integer divisors of 411 that divides 411 without a remainder.
1, 3, 137, 411
Greatest Common Divisior
We found the divisors of 378, 552, 59, 411 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 378, 552, 59, 411 is 1.
Therefore, GCD of numbers 378, 552, 59, 411 is 1
Given Input Data is 378, 552, 59, 411
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 59 is 59
Prime Factorization of 411 is 3 x 137
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(378, 552) = 34776
GCD(378, 552) = ( 378 x 552 ) / 34776
GCD(378, 552) = 208656 / 34776
GCD(378, 552) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 59) = 354
GCD(6, 59) = ( 6 x 59 ) / 354
GCD(6, 59) = 354 / 354
GCD(6, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 411
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 411) = 411
GCD(1, 411) = ( 1 x 411 ) / 411
GCD(1, 411) = 411 / 411
GCD(1, 411) = 1
GCD of 378, 552, 59, 411 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 378, 552, 59, 411?
GCD of 378, 552, 59, 411 is 1
2. Where do I get the detailed procedure to find GCD of 378, 552, 59, 411?
You can find a detailed procedure to find GCD of 378, 552, 59, 411 on our page.
3. How to find GCD of 378, 552, 59, 411 on a calculator?
You can find the GCD of 378, 552, 59, 411 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.