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 152, 894, 70, 931 i.e. 1 largest integer that divides all the numbers equally.
GCD of 152, 894, 70, 931 is 1
GCD(152, 894, 70, 931) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 152, 894, 70, 931 is 1
GCD(152, 894, 70, 931) = 1
Given Input numbers are 152, 894, 70, 931
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
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 931
List of positive integer divisors of 931 that divides 931 without a remainder.
1, 7, 19, 49, 133, 931
Greatest Common Divisior
We found the divisors of 152, 894, 70, 931 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 152, 894, 70, 931 is 1.
Therefore, GCD of numbers 152, 894, 70, 931 is 1
Given Input Data is 152, 894, 70, 931
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 894 is 2 x 3 x 149
Prime Factorization of 70 is 2 x 5 x 7
Prime Factorization of 931 is 7 x 7 x 19
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(152, 894) = 67944
GCD(152, 894) = ( 152 x 894 ) / 67944
GCD(152, 894) = 135888 / 67944
GCD(152, 894) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 70
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 70) = 70
GCD(2, 70) = ( 2 x 70 ) / 70
GCD(2, 70) = 140 / 70
GCD(2, 70) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 931
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 931) = 1862
GCD(2, 931) = ( 2 x 931 ) / 1862
GCD(2, 931) = 1862 / 1862
GCD(2, 931) = 1
GCD of 152, 894, 70, 931 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 152, 894, 70, 931?
GCD of 152, 894, 70, 931 is 1
2. Where do I get the detailed procedure to find GCD of 152, 894, 70, 931?
You can find a detailed procedure to find GCD of 152, 894, 70, 931 on our page.
3. How to find GCD of 152, 894, 70, 931 on a calculator?
You can find the GCD of 152, 894, 70, 931 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.