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 167, 974, 46, 452 i.e. 1 largest integer that divides all the numbers equally.
GCD of 167, 974, 46, 452 is 1
GCD(167, 974, 46, 452) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 167, 974, 46, 452 is 1
GCD(167, 974, 46, 452) = 1
Given Input numbers are 167, 974, 46, 452
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 167
List of positive integer divisors of 167 that divides 167 without a remainder.
1, 167
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 452
List of positive integer divisors of 452 that divides 452 without a remainder.
1, 2, 4, 113, 226, 452
Greatest Common Divisior
We found the divisors of 167, 974, 46, 452 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 167, 974, 46, 452 is 1.
Therefore, GCD of numbers 167, 974, 46, 452 is 1
Given Input Data is 167, 974, 46, 452
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 167 is 167
Prime Factorization of 974 is 2 x 487
Prime Factorization of 46 is 2 x 23
Prime Factorization of 452 is 2 x 2 x 113
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(167, 974) = 162658
GCD(167, 974) = ( 167 x 974 ) / 162658
GCD(167, 974) = 162658 / 162658
GCD(167, 974) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 46) = 46
GCD(1, 46) = ( 1 x 46 ) / 46
GCD(1, 46) = 46 / 46
GCD(1, 46) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 452
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 452) = 452
GCD(1, 452) = ( 1 x 452 ) / 452
GCD(1, 452) = 452 / 452
GCD(1, 452) = 1
GCD of 167, 974, 46, 452 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 167, 974, 46, 452?
GCD of 167, 974, 46, 452 is 1
2. Where do I get the detailed procedure to find GCD of 167, 974, 46, 452?
You can find a detailed procedure to find GCD of 167, 974, 46, 452 on our page.
3. How to find GCD of 167, 974, 46, 452 on a calculator?
You can find the GCD of 167, 974, 46, 452 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.