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 702, 837, 880, 132 i.e. 1 largest integer that divides all the numbers equally.
GCD of 702, 837, 880, 132 is 1
GCD(702, 837, 880, 132) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 702, 837, 880, 132 is 1
GCD(702, 837, 880, 132) = 1
Given Input numbers are 702, 837, 880, 132
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 702
List of positive integer divisors of 702 that divides 702 without a remainder.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
Divisors of 837
List of positive integer divisors of 837 that divides 837 without a remainder.
1, 3, 9, 27, 31, 93, 279, 837
Divisors of 880
List of positive integer divisors of 880 that divides 880 without a remainder.
1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 40, 44, 55, 80, 88, 110, 176, 220, 440, 880
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
Greatest Common Divisior
We found the divisors of 702, 837, 880, 132 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 702, 837, 880, 132 is 1.
Therefore, GCD of numbers 702, 837, 880, 132 is 1
Given Input Data is 702, 837, 880, 132
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 702 is 2 x 3 x 3 x 3 x 13
Prime Factorization of 837 is 3 x 3 x 3 x 31
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 132 is 2 x 2 x 3 x 11
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(702, 837) = 21762
GCD(702, 837) = ( 702 x 837 ) / 21762
GCD(702, 837) = 587574 / 21762
GCD(702, 837) = 27
Step2:
Here we consider the GCD from the above i.e. 27 as first number and the next as 880
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(27, 880) = 23760
GCD(27, 880) = ( 27 x 880 ) / 23760
GCD(27, 880) = 23760 / 23760
GCD(27, 880) = 1
Step3:
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
GCD of 702, 837, 880, 132 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 702, 837, 880, 132?
GCD of 702, 837, 880, 132 is 1
2. Where do I get the detailed procedure to find GCD of 702, 837, 880, 132?
You can find a detailed procedure to find GCD of 702, 837, 880, 132 on our page.
3. How to find GCD of 702, 837, 880, 132 on a calculator?
You can find the GCD of 702, 837, 880, 132 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.