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 682, 925, 50, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 682, 925, 50, 700 is 1
GCD(682, 925, 50, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 682, 925, 50, 700 is 1
GCD(682, 925, 50, 700) = 1
Given Input numbers are 682, 925, 50, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 682
List of positive integer divisors of 682 that divides 682 without a remainder.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 925
List of positive integer divisors of 925 that divides 925 without a remainder.
1, 5, 25, 37, 185, 925
Divisors of 50
List of positive integer divisors of 50 that divides 50 without a remainder.
1, 2, 5, 10, 25, 50
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
Greatest Common Divisior
We found the divisors of 682, 925, 50, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 682, 925, 50, 700 is 1.
Therefore, GCD of numbers 682, 925, 50, 700 is 1
Given Input Data is 682, 925, 50, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 682 is 2 x 11 x 31
Prime Factorization of 925 is 5 x 5 x 37
Prime Factorization of 50 is 2 x 5 x 5
Prime Factorization of 700 is 2 x 2 x 5 x 5 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(682, 925) = 630850
GCD(682, 925) = ( 682 x 925 ) / 630850
GCD(682, 925) = 630850 / 630850
GCD(682, 925) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 50
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 50) = 50
GCD(1, 50) = ( 1 x 50 ) / 50
GCD(1, 50) = 50 / 50
GCD(1, 50) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 682, 925, 50, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 682, 925, 50, 700?
GCD of 682, 925, 50, 700 is 1
2. Where do I get the detailed procedure to find GCD of 682, 925, 50, 700?
You can find a detailed procedure to find GCD of 682, 925, 50, 700 on our page.
3. How to find GCD of 682, 925, 50, 700 on a calculator?
You can find the GCD of 682, 925, 50, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.