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 149, 976, 695, 891 i.e. 1 largest integer that divides all the numbers equally.
GCD of 149, 976, 695, 891 is 1
GCD(149, 976, 695, 891) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 149, 976, 695, 891 is 1
GCD(149, 976, 695, 891) = 1
Given Input numbers are 149, 976, 695, 891
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 695
List of positive integer divisors of 695 that divides 695 without a remainder.
1, 5, 139, 695
Divisors of 891
List of positive integer divisors of 891 that divides 891 without a remainder.
1, 3, 9, 11, 27, 33, 81, 99, 297, 891
Greatest Common Divisior
We found the divisors of 149, 976, 695, 891 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 149, 976, 695, 891 is 1.
Therefore, GCD of numbers 149, 976, 695, 891 is 1
Given Input Data is 149, 976, 695, 891
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 149 is 149
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 695 is 5 x 139
Prime Factorization of 891 is 3 x 3 x 3 x 3 x 11
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(149, 976) = 145424
GCD(149, 976) = ( 149 x 976 ) / 145424
GCD(149, 976) = 145424 / 145424
GCD(149, 976) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 695
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 695) = 695
GCD(1, 695) = ( 1 x 695 ) / 695
GCD(1, 695) = 695 / 695
GCD(1, 695) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 891
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 891) = 891
GCD(1, 891) = ( 1 x 891 ) / 891
GCD(1, 891) = 891 / 891
GCD(1, 891) = 1
GCD of 149, 976, 695, 891 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 149, 976, 695, 891?
GCD of 149, 976, 695, 891 is 1
2. Where do I get the detailed procedure to find GCD of 149, 976, 695, 891?
You can find a detailed procedure to find GCD of 149, 976, 695, 891 on our page.
3. How to find GCD of 149, 976, 695, 891 on a calculator?
You can find the GCD of 149, 976, 695, 891 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.