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 143, 402, 48, 747 i.e. 1 largest integer that divides all the numbers equally.
GCD of 143, 402, 48, 747 is 1
GCD(143, 402, 48, 747) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 143, 402, 48, 747 is 1
GCD(143, 402, 48, 747) = 1
Given Input numbers are 143, 402, 48, 747
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 143
List of positive integer divisors of 143 that divides 143 without a remainder.
1, 11, 13, 143
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Greatest Common Divisior
We found the divisors of 143, 402, 48, 747 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 143, 402, 48, 747 is 1.
Therefore, GCD of numbers 143, 402, 48, 747 is 1
Given Input Data is 143, 402, 48, 747
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 143 is 11 x 13
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 747 is 3 x 3 x 83
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(143, 402) = 57486
GCD(143, 402) = ( 143 x 402 ) / 57486
GCD(143, 402) = 57486 / 57486
GCD(143, 402) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 48) = 48
GCD(1, 48) = ( 1 x 48 ) / 48
GCD(1, 48) = 48 / 48
GCD(1, 48) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 747
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 747) = 747
GCD(1, 747) = ( 1 x 747 ) / 747
GCD(1, 747) = 747 / 747
GCD(1, 747) = 1
GCD of 143, 402, 48, 747 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 143, 402, 48, 747?
GCD of 143, 402, 48, 747 is 1
2. Where do I get the detailed procedure to find GCD of 143, 402, 48, 747?
You can find a detailed procedure to find GCD of 143, 402, 48, 747 on our page.
3. How to find GCD of 143, 402, 48, 747 on a calculator?
You can find the GCD of 143, 402, 48, 747 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.