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 286, 700, 37, 650 i.e. 1 largest integer that divides all the numbers equally.
GCD of 286, 700, 37, 650 is 1
GCD(286, 700, 37, 650) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 286, 700, 37, 650 is 1
GCD(286, 700, 37, 650) = 1
Given Input numbers are 286, 700, 37, 650
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 286
List of positive integer divisors of 286 that divides 286 without a remainder.
1, 2, 11, 13, 22, 26, 143, 286
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 37
List of positive integer divisors of 37 that divides 37 without a remainder.
1, 37
Divisors of 650
List of positive integer divisors of 650 that divides 650 without a remainder.
1, 2, 5, 10, 13, 25, 26, 50, 65, 130, 325, 650
Greatest Common Divisior
We found the divisors of 286, 700, 37, 650 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 286, 700, 37, 650 is 1.
Therefore, GCD of numbers 286, 700, 37, 650 is 1
Given Input Data is 286, 700, 37, 650
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 286 is 2 x 11 x 13
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 37 is 37
Prime Factorization of 650 is 2 x 5 x 5 x 13
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(286, 700) = 100100
GCD(286, 700) = ( 286 x 700 ) / 100100
GCD(286, 700) = 200200 / 100100
GCD(286, 700) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 37
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 37) = 74
GCD(2, 37) = ( 2 x 37 ) / 74
GCD(2, 37) = 74 / 74
GCD(2, 37) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 650
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 650) = 650
GCD(1, 650) = ( 1 x 650 ) / 650
GCD(1, 650) = 650 / 650
GCD(1, 650) = 1
GCD of 286, 700, 37, 650 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 286, 700, 37, 650?
GCD of 286, 700, 37, 650 is 1
2. Where do I get the detailed procedure to find GCD of 286, 700, 37, 650?
You can find a detailed procedure to find GCD of 286, 700, 37, 650 on our page.
3. How to find GCD of 286, 700, 37, 650 on a calculator?
You can find the GCD of 286, 700, 37, 650 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.