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 830, 920, 65, 972 i.e. 1 largest integer that divides all the numbers equally.
GCD of 830, 920, 65, 972 is 1
GCD(830, 920, 65, 972) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 830, 920, 65, 972 is 1
GCD(830, 920, 65, 972) = 1
Given Input numbers are 830, 920, 65, 972
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 830
List of positive integer divisors of 830 that divides 830 without a remainder.
1, 2, 5, 10, 83, 166, 415, 830
Divisors of 920
List of positive integer divisors of 920 that divides 920 without a remainder.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 65
List of positive integer divisors of 65 that divides 65 without a remainder.
1, 5, 13, 65
Divisors of 972
List of positive integer divisors of 972 that divides 972 without a remainder.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Greatest Common Divisior
We found the divisors of 830, 920, 65, 972 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 830, 920, 65, 972 is 1.
Therefore, GCD of numbers 830, 920, 65, 972 is 1
Given Input Data is 830, 920, 65, 972
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 830 is 2 x 5 x 83
Prime Factorization of 920 is 2 x 2 x 2 x 5 x 23
Prime Factorization of 65 is 5 x 13
Prime Factorization of 972 is 2 x 2 x 3 x 3 x 3 x 3 x 3
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(830, 920) = 76360
GCD(830, 920) = ( 830 x 920 ) / 76360
GCD(830, 920) = 763600 / 76360
GCD(830, 920) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 65
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 65) = 130
GCD(10, 65) = ( 10 x 65 ) / 130
GCD(10, 65) = 650 / 130
GCD(10, 65) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 972
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 972) = 4860
GCD(5, 972) = ( 5 x 972 ) / 4860
GCD(5, 972) = 4860 / 4860
GCD(5, 972) = 1
GCD of 830, 920, 65, 972 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 830, 920, 65, 972?
GCD of 830, 920, 65, 972 is 1
2. Where do I get the detailed procedure to find GCD of 830, 920, 65, 972?
You can find a detailed procedure to find GCD of 830, 920, 65, 972 on our page.
3. How to find GCD of 830, 920, 65, 972 on a calculator?
You can find the GCD of 830, 920, 65, 972 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.