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 901, 846, 49, 626 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 846, 49, 626 is 1
GCD(901, 846, 49, 626) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 846, 49, 626 is 1
GCD(901, 846, 49, 626) = 1
Given Input numbers are 901, 846, 49, 626
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 846
List of positive integer divisors of 846 that divides 846 without a remainder.
1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 626
List of positive integer divisors of 626 that divides 626 without a remainder.
1, 2, 313, 626
Greatest Common Divisior
We found the divisors of 901, 846, 49, 626 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 846, 49, 626 is 1.
Therefore, GCD of numbers 901, 846, 49, 626 is 1
Given Input Data is 901, 846, 49, 626
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 49 is 7 x 7
Prime Factorization of 626 is 2 x 313
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(901, 846) = 762246
GCD(901, 846) = ( 901 x 846 ) / 762246
GCD(901, 846) = 762246 / 762246
GCD(901, 846) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 49
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 49) = 49
GCD(1, 49) = ( 1 x 49 ) / 49
GCD(1, 49) = 49 / 49
GCD(1, 49) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 626
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 626) = 626
GCD(1, 626) = ( 1 x 626 ) / 626
GCD(1, 626) = 626 / 626
GCD(1, 626) = 1
GCD of 901, 846, 49, 626 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 846, 49, 626?
GCD of 901, 846, 49, 626 is 1
2. Where do I get the detailed procedure to find GCD of 901, 846, 49, 626?
You can find a detailed procedure to find GCD of 901, 846, 49, 626 on our page.
3. How to find GCD of 901, 846, 49, 626 on a calculator?
You can find the GCD of 901, 846, 49, 626 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.