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 375, 698, 59, 168 i.e. 1 largest integer that divides all the numbers equally.
GCD of 375, 698, 59, 168 is 1
GCD(375, 698, 59, 168) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 375, 698, 59, 168 is 1
GCD(375, 698, 59, 168) = 1
Given Input numbers are 375, 698, 59, 168
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Divisors of 698
List of positive integer divisors of 698 that divides 698 without a remainder.
1, 2, 349, 698
Divisors of 59
List of positive integer divisors of 59 that divides 59 without a remainder.
1, 59
Divisors of 168
List of positive integer divisors of 168 that divides 168 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
Greatest Common Divisior
We found the divisors of 375, 698, 59, 168 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 375, 698, 59, 168 is 1.
Therefore, GCD of numbers 375, 698, 59, 168 is 1
Given Input Data is 375, 698, 59, 168
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 375 is 3 x 5 x 5 x 5
Prime Factorization of 698 is 2 x 349
Prime Factorization of 59 is 59
Prime Factorization of 168 is 2 x 2 x 2 x 3 x 7
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(375, 698) = 261750
GCD(375, 698) = ( 375 x 698 ) / 261750
GCD(375, 698) = 261750 / 261750
GCD(375, 698) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 59
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 59) = 59
GCD(1, 59) = ( 1 x 59 ) / 59
GCD(1, 59) = 59 / 59
GCD(1, 59) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 168
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 168) = 168
GCD(1, 168) = ( 1 x 168 ) / 168
GCD(1, 168) = 168 / 168
GCD(1, 168) = 1
GCD of 375, 698, 59, 168 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 375, 698, 59, 168?
GCD of 375, 698, 59, 168 is 1
2. Where do I get the detailed procedure to find GCD of 375, 698, 59, 168?
You can find a detailed procedure to find GCD of 375, 698, 59, 168 on our page.
3. How to find GCD of 375, 698, 59, 168 on a calculator?
You can find the GCD of 375, 698, 59, 168 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.