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 282, 670, 98, 365 i.e. 1 largest integer that divides all the numbers equally.
GCD of 282, 670, 98, 365 is 1
GCD(282, 670, 98, 365) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 282, 670, 98, 365 is 1
GCD(282, 670, 98, 365) = 1
Given Input numbers are 282, 670, 98, 365
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 282
List of positive integer divisors of 282 that divides 282 without a remainder.
1, 2, 3, 6, 47, 94, 141, 282
Divisors of 670
List of positive integer divisors of 670 that divides 670 without a remainder.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 98
List of positive integer divisors of 98 that divides 98 without a remainder.
1, 2, 7, 14, 49, 98
Divisors of 365
List of positive integer divisors of 365 that divides 365 without a remainder.
1, 5, 73, 365
Greatest Common Divisior
We found the divisors of 282, 670, 98, 365 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 282, 670, 98, 365 is 1.
Therefore, GCD of numbers 282, 670, 98, 365 is 1
Given Input Data is 282, 670, 98, 365
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 282 is 2 x 3 x 47
Prime Factorization of 670 is 2 x 5 x 67
Prime Factorization of 98 is 2 x 7 x 7
Prime Factorization of 365 is 5 x 73
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(282, 670) = 94470
GCD(282, 670) = ( 282 x 670 ) / 94470
GCD(282, 670) = 188940 / 94470
GCD(282, 670) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 98
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 98) = 98
GCD(2, 98) = ( 2 x 98 ) / 98
GCD(2, 98) = 196 / 98
GCD(2, 98) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 365
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 365) = 730
GCD(2, 365) = ( 2 x 365 ) / 730
GCD(2, 365) = 730 / 730
GCD(2, 365) = 1
GCD of 282, 670, 98, 365 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 282, 670, 98, 365?
GCD of 282, 670, 98, 365 is 1
2. Where do I get the detailed procedure to find GCD of 282, 670, 98, 365?
You can find a detailed procedure to find GCD of 282, 670, 98, 365 on our page.
3. How to find GCD of 282, 670, 98, 365 on a calculator?
You can find the GCD of 282, 670, 98, 365 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.