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 707, 144, 132, 801 i.e. 1 largest integer that divides all the numbers equally.
GCD of 707, 144, 132, 801 is 1
GCD(707, 144, 132, 801) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 707, 144, 132, 801 is 1
GCD(707, 144, 132, 801) = 1
Given Input numbers are 707, 144, 132, 801
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 132
List of positive integer divisors of 132 that divides 132 without a remainder.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 801
List of positive integer divisors of 801 that divides 801 without a remainder.
1, 3, 9, 89, 267, 801
Greatest Common Divisior
We found the divisors of 707, 144, 132, 801 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 707, 144, 132, 801 is 1.
Therefore, GCD of numbers 707, 144, 132, 801 is 1
Given Input Data is 707, 144, 132, 801
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 707 is 7 x 101
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 132 is 2 x 2 x 3 x 11
Prime Factorization of 801 is 3 x 3 x 89
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(707, 144) = 101808
GCD(707, 144) = ( 707 x 144 ) / 101808
GCD(707, 144) = 101808 / 101808
GCD(707, 144) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 132
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 132) = 132
GCD(1, 132) = ( 1 x 132 ) / 132
GCD(1, 132) = 132 / 132
GCD(1, 132) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 801
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 801) = 801
GCD(1, 801) = ( 1 x 801 ) / 801
GCD(1, 801) = 801 / 801
GCD(1, 801) = 1
GCD of 707, 144, 132, 801 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 707, 144, 132, 801?
GCD of 707, 144, 132, 801 is 1
2. Where do I get the detailed procedure to find GCD of 707, 144, 132, 801?
You can find a detailed procedure to find GCD of 707, 144, 132, 801 on our page.
3. How to find GCD of 707, 144, 132, 801 on a calculator?
You can find the GCD of 707, 144, 132, 801 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.