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 898, 801, 846, 147 i.e. 1 largest integer that divides all the numbers equally.
GCD of 898, 801, 846, 147 is 1
GCD(898, 801, 846, 147) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 898, 801, 846, 147 is 1
GCD(898, 801, 846, 147) = 1
Given Input numbers are 898, 801, 846, 147
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 898
List of positive integer divisors of 898 that divides 898 without a remainder.
1, 2, 449, 898
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
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 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Greatest Common Divisior
We found the divisors of 898, 801, 846, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 898, 801, 846, 147 is 1.
Therefore, GCD of numbers 898, 801, 846, 147 is 1
Given Input Data is 898, 801, 846, 147
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 898 is 2 x 449
Prime Factorization of 801 is 3 x 3 x 89
Prime Factorization of 846 is 2 x 3 x 3 x 47
Prime Factorization of 147 is 3 x 7 x 7
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(898, 801) = 719298
GCD(898, 801) = ( 898 x 801 ) / 719298
GCD(898, 801) = 719298 / 719298
GCD(898, 801) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 846
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 846) = 846
GCD(1, 846) = ( 1 x 846 ) / 846
GCD(1, 846) = 846 / 846
GCD(1, 846) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 147
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
GCD(1, 147) = 147 / 147
GCD(1, 147) = 1
GCD of 898, 801, 846, 147 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 898, 801, 846, 147?
GCD of 898, 801, 846, 147 is 1
2. Where do I get the detailed procedure to find GCD of 898, 801, 846, 147?
You can find a detailed procedure to find GCD of 898, 801, 846, 147 on our page.
3. How to find GCD of 898, 801, 846, 147 on a calculator?
You can find the GCD of 898, 801, 846, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.