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 147, 840, 331, 576 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 840, 331, 576 is 1
GCD(147, 840, 331, 576) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 840, 331, 576 is 1
GCD(147, 840, 331, 576) = 1
Given Input numbers are 147, 840, 331, 576
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 840
List of positive integer divisors of 840 that divides 840 without a remainder.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
Divisors of 331
List of positive integer divisors of 331 that divides 331 without a remainder.
1, 331
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Greatest Common Divisior
We found the divisors of 147, 840, 331, 576 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 840, 331, 576 is 1.
Therefore, GCD of numbers 147, 840, 331, 576 is 1
Given Input Data is 147, 840, 331, 576
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 840 is 2 x 2 x 2 x 3 x 5 x 7
Prime Factorization of 331 is 331
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
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(147, 840) = 5880
GCD(147, 840) = ( 147 x 840 ) / 5880
GCD(147, 840) = 123480 / 5880
GCD(147, 840) = 21
Step2:
Here we consider the GCD from the above i.e. 21 as first number and the next as 331
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(21, 331) = 6951
GCD(21, 331) = ( 21 x 331 ) / 6951
GCD(21, 331) = 6951 / 6951
GCD(21, 331) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
GCD of 147, 840, 331, 576 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 840, 331, 576?
GCD of 147, 840, 331, 576 is 1
2. Where do I get the detailed procedure to find GCD of 147, 840, 331, 576?
You can find a detailed procedure to find GCD of 147, 840, 331, 576 on our page.
3. How to find GCD of 147, 840, 331, 576 on a calculator?
You can find the GCD of 147, 840, 331, 576 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.