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 176, 529, 850, 748 i.e. 1 largest integer that divides all the numbers equally.
GCD of 176, 529, 850, 748 is 1
GCD(176, 529, 850, 748) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 176, 529, 850, 748 is 1
GCD(176, 529, 850, 748) = 1
Given Input numbers are 176, 529, 850, 748
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 176
List of positive integer divisors of 176 that divides 176 without a remainder.
1, 2, 4, 8, 11, 16, 22, 44, 88, 176
Divisors of 529
List of positive integer divisors of 529 that divides 529 without a remainder.
1, 23, 529
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Greatest Common Divisior
We found the divisors of 176, 529, 850, 748 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 176, 529, 850, 748 is 1.
Therefore, GCD of numbers 176, 529, 850, 748 is 1
Given Input Data is 176, 529, 850, 748
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 176 is 2 x 2 x 2 x 2 x 11
Prime Factorization of 529 is 23 x 23
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 748 is 2 x 2 x 11 x 17
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(176, 529) = 93104
GCD(176, 529) = ( 176 x 529 ) / 93104
GCD(176, 529) = 93104 / 93104
GCD(176, 529) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 850
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 850) = 850
GCD(1, 850) = ( 1 x 850 ) / 850
GCD(1, 850) = 850 / 850
GCD(1, 850) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 748
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
GCD(1, 748) = 748 / 748
GCD(1, 748) = 1
GCD of 176, 529, 850, 748 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 176, 529, 850, 748?
GCD of 176, 529, 850, 748 is 1
2. Where do I get the detailed procedure to find GCD of 176, 529, 850, 748?
You can find a detailed procedure to find GCD of 176, 529, 850, 748 on our page.
3. How to find GCD of 176, 529, 850, 748 on a calculator?
You can find the GCD of 176, 529, 850, 748 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.