GCD of 705, 675, 67 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 705, 675, 67 i.e. 1 largest integer that divides all the numbers equally.
GCD of 705, 675, 67 is 1
GCD(705, 675, 67) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 705, 675, 67 is 1
GCD(705, 675, 67) = 1
GCDof 705,675,67 is 1
Given Input numbers are 705, 675, 67
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
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 67
List of positive integer divisors of 67 that divides 67 without a remainder.
1, 67
Greatest Common Divisior
We found the divisors of 705, 675, 67 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 705, 675, 67 is 1.
Therefore, GCD of numbers 705, 675, 67 is 1
Given Input Data is 705, 675, 67
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 67 is 67
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 705, 675, 67 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(705, 675) = 31725
GCD(705, 675) = ( 705 x 675 ) / 31725
GCD(705, 675) = 475875 / 31725
GCD(705, 675) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 67
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 67) = 1005
GCD(15, 67) = ( 15 x 67 ) / 1005
GCD(15, 67) = 1005 / 1005
GCD(15, 67) = 1
GCD of 705, 675, 67 is 1
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FAQs on GCD of numbers 705, 675, 67
1. What is the GCD of 705, 675, 67?
GCD of 705, 675, 67 is 1
2. Where do I get the detailed procedure to find GCD of 705, 675, 67?
You can find a detailed procedure to find GCD of 705, 675, 67 on our page.
3. How to find GCD of 705, 675, 67 on a calculator?
You can find the GCD of 705, 675, 67 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.
