GCD of 495, 612, 140 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 495, 612, 140 i.e. 1 largest integer that divides all the numbers equally.
GCD of 495, 612, 140 is 1
GCD(495, 612, 140) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 495, 612, 140 is 1
GCD(495, 612, 140) = 1
GCDof 495,612,140 is 1
Given Input numbers are 495, 612, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 495
List of positive integer divisors of 495 that divides 495 without a remainder.
1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 165, 495
Divisors of 612
List of positive integer divisors of 612 that divides 612 without a remainder.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 495, 612, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 495, 612, 140 is 1.
Therefore, GCD of numbers 495, 612, 140 is 1
Given Input Data is 495, 612, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 495 is 3 x 3 x 5 x 11
Prime Factorization of 612 is 2 x 2 x 3 x 3 x 17
Prime Factorization of 140 is 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 495, 612, 140 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(495, 612) = 33660
GCD(495, 612) = ( 495 x 612 ) / 33660
GCD(495, 612) = 302940 / 33660
GCD(495, 612) = 9
Step2:
Here we consider the GCD from the above i.e. 9 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(9, 140) = 1260
GCD(9, 140) = ( 9 x 140 ) / 1260
GCD(9, 140) = 1260 / 1260
GCD(9, 140) = 1
GCD of 495, 612, 140 is 1
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FAQs on GCD of numbers 495, 612, 140
1. What is the GCD of 495, 612, 140?
GCD of 495, 612, 140 is 1
2. Where do I get the detailed procedure to find GCD of 495, 612, 140?
You can find a detailed procedure to find GCD of 495, 612, 140 on our page.
3. How to find GCD of 495, 612, 140 on a calculator?
You can find the GCD of 495, 612, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.