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 65, 292, 350, 837 i.e. 1 largest integer that divides all the numbers equally.
GCD of 65, 292, 350, 837 is 1
GCD(65, 292, 350, 837) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 65, 292, 350, 837 is 1
GCD(65, 292, 350, 837) = 1
Given Input numbers are 65, 292, 350, 837
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Divisors of 350
List of positive integer divisors of 350 that divides 350 without a remainder.
1, 2, 5, 7, 10, 14, 25, 35, 50, 70, 175, 350
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Greatest Common Divisior
We found the divisors of 65, 292, 350, 837 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 65, 292, 350, 837 is 1.
Therefore, GCD of numbers 65, 292, 350, 837 is 1
Given Input Data is 65, 292, 350, 837
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 65 is 5 x 13
Prime Factorization of 292 is 2 x 2 x 73
Prime Factorization of 350 is 2 x 5 x 5 x 7
Prime Factorization of 837 is 3 x 3 x 3 x 31
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(65, 292) = 18980
GCD(65, 292) = ( 65 x 292 ) / 18980
GCD(65, 292) = 18980 / 18980
GCD(65, 292) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 350
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 350) = 350
GCD(1, 350) = ( 1 x 350 ) / 350
GCD(1, 350) = 350 / 350
GCD(1, 350) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 837
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 837) = 837
GCD(1, 837) = ( 1 x 837 ) / 837
GCD(1, 837) = 837 / 837
GCD(1, 837) = 1
GCD of 65, 292, 350, 837 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 65, 292, 350, 837?
GCD of 65, 292, 350, 837 is 1
2. Where do I get the detailed procedure to find GCD of 65, 292, 350, 837?
You can find a detailed procedure to find GCD of 65, 292, 350, 837 on our page.
3. How to find GCD of 65, 292, 350, 837 on a calculator?
You can find the GCD of 65, 292, 350, 837 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.