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 743, 870, 33, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 743, 870, 33, 151 is 1
GCD(743, 870, 33, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 743, 870, 33, 151 is 1
GCD(743, 870, 33, 151) = 1
Given Input numbers are 743, 870, 33, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 743
List of positive integer divisors of 743 that divides 743 without a remainder.
1, 743
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 33
List of positive integer divisors of 33 that divides 33 without a remainder.
1, 3, 11, 33
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 743, 870, 33, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 743, 870, 33, 151 is 1.
Therefore, GCD of numbers 743, 870, 33, 151 is 1
Given Input Data is 743, 870, 33, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 743 is 743
Prime Factorization of 870 is 2 x 3 x 5 x 29
Prime Factorization of 33 is 3 x 11
Prime Factorization of 151 is 151
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(743, 870) = 646410
GCD(743, 870) = ( 743 x 870 ) / 646410
GCD(743, 870) = 646410 / 646410
GCD(743, 870) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 33
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 33) = 33
GCD(1, 33) = ( 1 x 33 ) / 33
GCD(1, 33) = 33 / 33
GCD(1, 33) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 151) = 151
GCD(1, 151) = ( 1 x 151 ) / 151
GCD(1, 151) = 151 / 151
GCD(1, 151) = 1
GCD of 743, 870, 33, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 743, 870, 33, 151?
GCD of 743, 870, 33, 151 is 1
2. Where do I get the detailed procedure to find GCD of 743, 870, 33, 151?
You can find a detailed procedure to find GCD of 743, 870, 33, 151 on our page.
3. How to find GCD of 743, 870, 33, 151 on a calculator?
You can find the GCD of 743, 870, 33, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.