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 880, 752, 31, 435 i.e. 1 largest integer that divides all the numbers equally.
GCD of 880, 752, 31, 435 is 1
GCD(880, 752, 31, 435) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 880, 752, 31, 435 is 1
GCD(880, 752, 31, 435) = 1
Given Input numbers are 880, 752, 31, 435
To find the GCD of numbers using factoring list out all the divisors of each number
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 752
List of positive integer divisors of 752 that divides 752 without a remainder.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
Divisors of 31
List of positive integer divisors of 31 that divides 31 without a remainder.
1, 31
Divisors of 435
List of positive integer divisors of 435 that divides 435 without a remainder.
1, 3, 5, 15, 29, 87, 145, 435
Greatest Common Divisior
We found the divisors of 880, 752, 31, 435 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 880, 752, 31, 435 is 1.
Therefore, GCD of numbers 880, 752, 31, 435 is 1
Given Input Data is 880, 752, 31, 435
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 880 is 2 x 2 x 2 x 2 x 5 x 11
Prime Factorization of 752 is 2 x 2 x 2 x 2 x 47
Prime Factorization of 31 is 31
Prime Factorization of 435 is 3 x 5 x 29
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(880, 752) = 41360
GCD(880, 752) = ( 880 x 752 ) / 41360
GCD(880, 752) = 661760 / 41360
GCD(880, 752) = 16
Step2:
Here we consider the GCD from the above i.e. 16 as first number and the next as 31
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(16, 31) = 496
GCD(16, 31) = ( 16 x 31 ) / 496
GCD(16, 31) = 496 / 496
GCD(16, 31) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 435
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 435) = 435
GCD(1, 435) = ( 1 x 435 ) / 435
GCD(1, 435) = 435 / 435
GCD(1, 435) = 1
GCD of 880, 752, 31, 435 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 880, 752, 31, 435?
GCD of 880, 752, 31, 435 is 1
2. Where do I get the detailed procedure to find GCD of 880, 752, 31, 435?
You can find a detailed procedure to find GCD of 880, 752, 31, 435 on our page.
3. How to find GCD of 880, 752, 31, 435 on a calculator?
You can find the GCD of 880, 752, 31, 435 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.