GCD of 598, 318, 945 Calculator
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 598, 318, 945 i.e. 1 largest integer that divides all the numbers equally.
GCD of 598, 318, 945 is 1
GCD(598, 318, 945) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 598, 318, 945 is 1
GCD(598, 318, 945) = 1
GCDof 598,318,945 is 1
Given Input numbers are 598, 318, 945
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 598
List of positive integer divisors of 598 that divides 598 without a remainder.
1, 2, 13, 23, 26, 46, 299, 598
Divisors of 318
List of positive integer divisors of 318 that divides 318 without a remainder.
1, 2, 3, 6, 53, 106, 159, 318
Divisors of 945
List of positive integer divisors of 945 that divides 945 without a remainder.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
Greatest Common Divisior
We found the divisors of 598, 318, 945 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 598, 318, 945 is 1.
Therefore, GCD of numbers 598, 318, 945 is 1
Given Input Data is 598, 318, 945
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 598 is 2 x 13 x 23
Prime Factorization of 318 is 2 x 3 x 53
Prime Factorization of 945 is 3 x 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 598, 318, 945 using LCM Formula
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(598, 318) = 95082
GCD(598, 318) = ( 598 x 318 ) / 95082
GCD(598, 318) = 190164 / 95082
GCD(598, 318) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 945
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 945) = 1890
GCD(2, 945) = ( 2 x 945 ) / 1890
GCD(2, 945) = 1890 / 1890
GCD(2, 945) = 1
GCD of 598, 318, 945 is 1
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FAQs on GCD of numbers 598, 318, 945
1. What is the GCD of 598, 318, 945?
GCD of 598, 318, 945 is 1
2. Where do I get the detailed procedure to find GCD of 598, 318, 945?
You can find a detailed procedure to find GCD of 598, 318, 945 on our page.
3. How to find GCD of 598, 318, 945 on a calculator?
You can find the GCD of 598, 318, 945 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.