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 147, 703, 267, 109 i.e. 1 largest integer that divides all the numbers equally.
GCD of 147, 703, 267, 109 is 1
GCD(147, 703, 267, 109) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 147, 703, 267, 109 is 1
GCD(147, 703, 267, 109) = 1
Given Input numbers are 147, 703, 267, 109
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 147
List of positive integer divisors of 147 that divides 147 without a remainder.
1, 3, 7, 21, 49, 147
Divisors of 703
List of positive integer divisors of 703 that divides 703 without a remainder.
1, 19, 37, 703
Divisors of 267
List of positive integer divisors of 267 that divides 267 without a remainder.
1, 3, 89, 267
Divisors of 109
List of positive integer divisors of 109 that divides 109 without a remainder.
1, 109
Greatest Common Divisior
We found the divisors of 147, 703, 267, 109 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 147, 703, 267, 109 is 1.
Therefore, GCD of numbers 147, 703, 267, 109 is 1
Given Input Data is 147, 703, 267, 109
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 147 is 3 x 7 x 7
Prime Factorization of 703 is 19 x 37
Prime Factorization of 267 is 3 x 89
Prime Factorization of 109 is 109
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(147, 703) = 103341
GCD(147, 703) = ( 147 x 703 ) / 103341
GCD(147, 703) = 103341 / 103341
GCD(147, 703) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 267
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 267) = 267
GCD(1, 267) = ( 1 x 267 ) / 267
GCD(1, 267) = 267 / 267
GCD(1, 267) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 109
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
GCD(1, 109) = 109 / 109
GCD(1, 109) = 1
GCD of 147, 703, 267, 109 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 147, 703, 267, 109?
GCD of 147, 703, 267, 109 is 1
2. Where do I get the detailed procedure to find GCD of 147, 703, 267, 109?
You can find a detailed procedure to find GCD of 147, 703, 267, 109 on our page.
3. How to find GCD of 147, 703, 267, 109 on a calculator?
You can find the GCD of 147, 703, 267, 109 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.