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 950, 870, 378, 339 i.e. 1 largest integer that divides all the numbers equally.
GCD of 950, 870, 378, 339 is 1
GCD(950, 870, 378, 339) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 950, 870, 378, 339 is 1
GCD(950, 870, 378, 339) = 1
Given Input numbers are 950, 870, 378, 339
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
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 339
List of positive integer divisors of 339 that divides 339 without a remainder.
1, 3, 113, 339
Greatest Common Divisior
We found the divisors of 950, 870, 378, 339 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 950, 870, 378, 339 is 1.
Therefore, GCD of numbers 950, 870, 378, 339 is 1
Given Input Data is 950, 870, 378, 339
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 339 is 3 x 113
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(950, 870) = 82650
GCD(950, 870) = ( 950 x 870 ) / 82650
GCD(950, 870) = 826500 / 82650
GCD(950, 870) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 378
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 378) = 1890
GCD(10, 378) = ( 10 x 378 ) / 1890
GCD(10, 378) = 3780 / 1890
GCD(10, 378) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 339
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 339) = 678
GCD(2, 339) = ( 2 x 339 ) / 678
GCD(2, 339) = 678 / 678
GCD(2, 339) = 1
GCD of 950, 870, 378, 339 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 950, 870, 378, 339?
GCD of 950, 870, 378, 339 is 1
2. Where do I get the detailed procedure to find GCD of 950, 870, 378, 339?
You can find a detailed procedure to find GCD of 950, 870, 378, 339 on our page.
3. How to find GCD of 950, 870, 378, 339 on a calculator?
You can find the GCD of 950, 870, 378, 339 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.