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 70, 155, 890, 879 i.e. 1 largest integer that divides all the numbers equally.
GCD of 70, 155, 890, 879 is 1
GCD(70, 155, 890, 879) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 70, 155, 890, 879 is 1
GCD(70, 155, 890, 879) = 1
Given Input numbers are 70, 155, 890, 879
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 70
List of positive integer divisors of 70 that divides 70 without a remainder.
1, 2, 5, 7, 10, 14, 35, 70
Divisors of 155
List of positive integer divisors of 155 that divides 155 without a remainder.
1, 5, 31, 155
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 879
List of positive integer divisors of 879 that divides 879 without a remainder.
1, 3, 293, 879
Greatest Common Divisior
We found the divisors of 70, 155, 890, 879 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 155, 890, 879 is 1.
Therefore, GCD of numbers 70, 155, 890, 879 is 1
Given Input Data is 70, 155, 890, 879
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 155 is 5 x 31
Prime Factorization of 890 is 2 x 5 x 89
Prime Factorization of 879 is 3 x 293
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(70, 155) = 2170
GCD(70, 155) = ( 70 x 155 ) / 2170
GCD(70, 155) = 10850 / 2170
GCD(70, 155) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 890
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 890) = 890
GCD(5, 890) = ( 5 x 890 ) / 890
GCD(5, 890) = 4450 / 890
GCD(5, 890) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 879
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 879) = 4395
GCD(5, 879) = ( 5 x 879 ) / 4395
GCD(5, 879) = 4395 / 4395
GCD(5, 879) = 1
GCD of 70, 155, 890, 879 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 70, 155, 890, 879?
GCD of 70, 155, 890, 879 is 1
2. Where do I get the detailed procedure to find GCD of 70, 155, 890, 879?
You can find a detailed procedure to find GCD of 70, 155, 890, 879 on our page.
3. How to find GCD of 70, 155, 890, 879 on a calculator?
You can find the GCD of 70, 155, 890, 879 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.