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 178, 807, 152, 742 i.e. 1 largest integer that divides all the numbers equally.
GCD of 178, 807, 152, 742 is 1
GCD(178, 807, 152, 742) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 178, 807, 152, 742 is 1
GCD(178, 807, 152, 742) = 1
Given Input numbers are 178, 807, 152, 742
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 178
List of positive integer divisors of 178 that divides 178 without a remainder.
1, 2, 89, 178
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 152
List of positive integer divisors of 152 that divides 152 without a remainder.
1, 2, 4, 8, 19, 38, 76, 152
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Greatest Common Divisior
We found the divisors of 178, 807, 152, 742 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 178, 807, 152, 742 is 1.
Therefore, GCD of numbers 178, 807, 152, 742 is 1
Given Input Data is 178, 807, 152, 742
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 178 is 2 x 89
Prime Factorization of 807 is 3 x 269
Prime Factorization of 152 is 2 x 2 x 2 x 19
Prime Factorization of 742 is 2 x 7 x 53
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(178, 807) = 143646
GCD(178, 807) = ( 178 x 807 ) / 143646
GCD(178, 807) = 143646 / 143646
GCD(178, 807) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 152
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
GCD(1, 152) = 152 / 152
GCD(1, 152) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 742
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
GCD(1, 742) = 742 / 742
GCD(1, 742) = 1
GCD of 178, 807, 152, 742 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 178, 807, 152, 742?
GCD of 178, 807, 152, 742 is 1
2. Where do I get the detailed procedure to find GCD of 178, 807, 152, 742?
You can find a detailed procedure to find GCD of 178, 807, 152, 742 on our page.
3. How to find GCD of 178, 807, 152, 742 on a calculator?
You can find the GCD of 178, 807, 152, 742 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.