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 750, 378, 84, 841 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 378, 84, 841 is 1
GCD(750, 378, 84, 841) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 378, 84, 841 is 1
GCD(750, 378, 84, 841) = 1
Given Input numbers are 750, 378, 84, 841
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
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 84
List of positive integer divisors of 84 that divides 84 without a remainder.
1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84
Divisors of 841
List of positive integer divisors of 841 that divides 841 without a remainder.
1, 29, 841
Greatest Common Divisior
We found the divisors of 750, 378, 84, 841 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 378, 84, 841 is 1.
Therefore, GCD of numbers 750, 378, 84, 841 is 1
Given Input Data is 750, 378, 84, 841
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 84 is 2 x 2 x 3 x 7
Prime Factorization of 841 is 29 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(750, 378) = 47250
GCD(750, 378) = ( 750 x 378 ) / 47250
GCD(750, 378) = 283500 / 47250
GCD(750, 378) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 84
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 84) = 84
GCD(6, 84) = ( 6 x 84 ) / 84
GCD(6, 84) = 504 / 84
GCD(6, 84) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 841
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 841) = 5046
GCD(6, 841) = ( 6 x 841 ) / 5046
GCD(6, 841) = 5046 / 5046
GCD(6, 841) = 1
GCD of 750, 378, 84, 841 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 378, 84, 841?
GCD of 750, 378, 84, 841 is 1
2. Where do I get the detailed procedure to find GCD of 750, 378, 84, 841?
You can find a detailed procedure to find GCD of 750, 378, 84, 841 on our page.
3. How to find GCD of 750, 378, 84, 841 on a calculator?
You can find the GCD of 750, 378, 84, 841 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.