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 307, 700, 842, 375 i.e. 1 largest integer that divides all the numbers equally.
GCD of 307, 700, 842, 375 is 1
GCD(307, 700, 842, 375) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 307, 700, 842, 375 is 1
GCD(307, 700, 842, 375) = 1
Given Input numbers are 307, 700, 842, 375
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 307
List of positive integer divisors of 307 that divides 307 without a remainder.
1, 307
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 842
List of positive integer divisors of 842 that divides 842 without a remainder.
1, 2, 421, 842
Divisors of 375
List of positive integer divisors of 375 that divides 375 without a remainder.
1, 3, 5, 15, 25, 75, 125, 375
Greatest Common Divisior
We found the divisors of 307, 700, 842, 375 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 307, 700, 842, 375 is 1.
Therefore, GCD of numbers 307, 700, 842, 375 is 1
Given Input Data is 307, 700, 842, 375
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 307 is 307
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 842 is 2 x 421
Prime Factorization of 375 is 3 x 5 x 5 x 5
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(307, 700) = 214900
GCD(307, 700) = ( 307 x 700 ) / 214900
GCD(307, 700) = 214900 / 214900
GCD(307, 700) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 842
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 842) = 842
GCD(1, 842) = ( 1 x 842 ) / 842
GCD(1, 842) = 842 / 842
GCD(1, 842) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 375
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 375) = 375
GCD(1, 375) = ( 1 x 375 ) / 375
GCD(1, 375) = 375 / 375
GCD(1, 375) = 1
GCD of 307, 700, 842, 375 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 307, 700, 842, 375?
GCD of 307, 700, 842, 375 is 1
2. Where do I get the detailed procedure to find GCD of 307, 700, 842, 375?
You can find a detailed procedure to find GCD of 307, 700, 842, 375 on our page.
3. How to find GCD of 307, 700, 842, 375 on a calculator?
You can find the GCD of 307, 700, 842, 375 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.