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 10, 578, 783, 147 i.e. 1 largest integer that divides all the numbers equally.
GCD of 10, 578, 783, 147 is 1
GCD(10, 578, 783, 147) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 10, 578, 783, 147 is 1
GCD(10, 578, 783, 147) = 1
Given Input numbers are 10, 578, 783, 147
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 578
List of positive integer divisors of 578 that divides 578 without a remainder.
1, 2, 17, 34, 289, 578
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
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 10, 578, 783, 147 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 10, 578, 783, 147 is 1.
Therefore, GCD of numbers 10, 578, 783, 147 is 1
Given Input Data is 10, 578, 783, 147
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 10 is 2 x 5
Prime Factorization of 578 is 2 x 17 x 17
Prime Factorization of 783 is 3 x 3 x 3 x 29
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(10, 578) = 2890
GCD(10, 578) = ( 10 x 578 ) / 2890
GCD(10, 578) = 5780 / 2890
GCD(10, 578) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 783) = 1566
GCD(2, 783) = ( 2 x 783 ) / 1566
GCD(2, 783) = 1566 / 1566
GCD(2, 783) = 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 10, 578, 783, 147 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 10, 578, 783, 147?
GCD of 10, 578, 783, 147 is 1
2. Where do I get the detailed procedure to find GCD of 10, 578, 783, 147?
You can find a detailed procedure to find GCD of 10, 578, 783, 147 on our page.
3. How to find GCD of 10, 578, 783, 147 on a calculator?
You can find the GCD of 10, 578, 783, 147 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.