GCD of 675, 567, 149 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 675, 567, 149 i.e. 1 largest integer that divides all the numbers equally.
GCD of 675, 567, 149 is 1
GCD(675, 567, 149) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 675, 567, 149 is 1
GCD(675, 567, 149) = 1
GCDof 675,567,149 is 1
Given Input numbers are 675, 567, 149
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Divisors of 149
List of positive integer divisors of 149 that divides 149 without a remainder.
1, 149
Greatest Common Divisior
We found the divisors of 675, 567, 149 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 675, 567, 149 is 1.
Therefore, GCD of numbers 675, 567, 149 is 1
Given Input Data is 675, 567, 149
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 567 is 3 x 3 x 3 x 3 x 7
Prime Factorization of 149 is 149
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 675, 567, 149 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(675, 567) = 14175
GCD(675, 567) = ( 675 x 567 ) / 14175
GCD(675, 567) = 382725 / 14175
GCD(675, 567) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 149
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 149) = 4023
GCD(27, 149) = ( 27 x 149 ) / 4023
GCD(27, 149) = 4023 / 4023
GCD(27, 149) = 1
GCD of 675, 567, 149 is 1
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FAQs on GCD of numbers 675, 567, 149
1. What is the GCD of 675, 567, 149?
GCD of 675, 567, 149 is 1
2. Where do I get the detailed procedure to find GCD of 675, 567, 149?
You can find a detailed procedure to find GCD of 675, 567, 149 on our page.
3. How to find GCD of 675, 567, 149 on a calculator?
You can find the GCD of 675, 567, 149 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.