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 862, 850, 764, 301 i.e. 1 largest integer that divides all the numbers equally.
GCD of 862, 850, 764, 301 is 1
GCD(862, 850, 764, 301) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 862, 850, 764, 301 is 1
GCD(862, 850, 764, 301) = 1
Given Input numbers are 862, 850, 764, 301
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 850
List of positive integer divisors of 850 that divides 850 without a remainder.
1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850
Divisors of 764
List of positive integer divisors of 764 that divides 764 without a remainder.
1, 2, 4, 191, 382, 764
Divisors of 301
List of positive integer divisors of 301 that divides 301 without a remainder.
1, 7, 43, 301
Greatest Common Divisior
We found the divisors of 862, 850, 764, 301 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 862, 850, 764, 301 is 1.
Therefore, GCD of numbers 862, 850, 764, 301 is 1
Given Input Data is 862, 850, 764, 301
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 862 is 2 x 431
Prime Factorization of 850 is 2 x 5 x 5 x 17
Prime Factorization of 764 is 2 x 2 x 191
Prime Factorization of 301 is 7 x 43
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(862, 850) = 366350
GCD(862, 850) = ( 862 x 850 ) / 366350
GCD(862, 850) = 732700 / 366350
GCD(862, 850) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 764
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 764) = 764
GCD(2, 764) = ( 2 x 764 ) / 764
GCD(2, 764) = 1528 / 764
GCD(2, 764) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 301
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 301) = 602
GCD(2, 301) = ( 2 x 301 ) / 602
GCD(2, 301) = 602 / 602
GCD(2, 301) = 1
GCD of 862, 850, 764, 301 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 862, 850, 764, 301?
GCD of 862, 850, 764, 301 is 1
2. Where do I get the detailed procedure to find GCD of 862, 850, 764, 301?
You can find a detailed procedure to find GCD of 862, 850, 764, 301 on our page.
3. How to find GCD of 862, 850, 764, 301 on a calculator?
You can find the GCD of 862, 850, 764, 301 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.