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 267, 700, 69, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 267, 700, 69, 645 is 1
GCD(267, 700, 69, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 267, 700, 69, 645 is 1
GCD(267, 700, 69, 645) = 1
Given Input numbers are 267, 700, 69, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 700
List of positive integer divisors of 700 that divides 700 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 69
List of positive integer divisors of 69 that divides 69 without a remainder.
1, 3, 23, 69
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 267, 700, 69, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 267, 700, 69, 645 is 1.
Therefore, GCD of numbers 267, 700, 69, 645 is 1
Given Input Data is 267, 700, 69, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 267 is 3 x 89
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
Prime Factorization of 69 is 3 x 23
Prime Factorization of 645 is 3 x 5 x 43
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(267, 700) = 186900
GCD(267, 700) = ( 267 x 700 ) / 186900
GCD(267, 700) = 186900 / 186900
GCD(267, 700) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 69
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 69) = 69
GCD(1, 69) = ( 1 x 69 ) / 69
GCD(1, 69) = 69 / 69
GCD(1, 69) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 267, 700, 69, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 267, 700, 69, 645?
GCD of 267, 700, 69, 645 is 1
2. Where do I get the detailed procedure to find GCD of 267, 700, 69, 645?
You can find a detailed procedure to find GCD of 267, 700, 69, 645 on our page.
3. How to find GCD of 267, 700, 69, 645 on a calculator?
You can find the GCD of 267, 700, 69, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.