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 890, 378, 87, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 890, 378, 87, 435 is 1
GCD(890, 378, 87, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 890, 378, 87, 435 is 1
GCD(890, 378, 87, 435) = 1
Given Input numbers are 890, 378, 87, 435
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 890
List of positive integer divisors of 890 that divides 890 without a remainder.
1, 2, 5, 10, 89, 178, 445, 890
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 87
List of positive integer divisors of 87 that divides 87 without a remainder.
1, 3, 29, 87
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 890, 378, 87, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 890, 378, 87, 435 is 1.
Therefore, GCD of numbers 890, 378, 87, 435 is 1
Given Input Data is 890, 378, 87, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 87 is 3 x 29
Prime Factorization of 435 is 3 x 5 x 29
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(890, 378) = 168210
GCD(890, 378) = ( 890 x 378 ) / 168210
GCD(890, 378) = 336420 / 168210
GCD(890, 378) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 87
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 87) = 174
GCD(2, 87) = ( 2 x 87 ) / 174
GCD(2, 87) = 174 / 174
GCD(2, 87) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 890, 378, 87, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 890, 378, 87, 435?
GCD of 890, 378, 87, 435 is 1
2. Where do I get the detailed procedure to find GCD of 890, 378, 87, 435?
You can find a detailed procedure to find GCD of 890, 378, 87, 435 on our page.
3. How to find GCD of 890, 378, 87, 435 on a calculator?
You can find the GCD of 890, 378, 87, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.