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 835, 280, 32, 700 i.e. 1 largest integer that divides all the numbers equally.
GCD of 835, 280, 32, 700 is 1
GCD(835, 280, 32, 700) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 835, 280, 32, 700 is 1
GCD(835, 280, 32, 700) = 1
Given Input numbers are 835, 280, 32, 700
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 835
List of positive integer divisors of 835 that divides 835 without a remainder.
1, 5, 167, 835
Divisors of 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 32
List of positive integer divisors of 32 that divides 32 without a remainder.
1, 2, 4, 8, 16, 32
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
Greatest Common Divisior
We found the divisors of 835, 280, 32, 700 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 835, 280, 32, 700 is 1.
Therefore, GCD of numbers 835, 280, 32, 700 is 1
Given Input Data is 835, 280, 32, 700
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 835 is 5 x 167
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 32 is 2 x 2 x 2 x 2 x 2
Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7
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(835, 280) = 46760
GCD(835, 280) = ( 835 x 280 ) / 46760
GCD(835, 280) = 233800 / 46760
GCD(835, 280) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 32
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 32) = 160
GCD(5, 32) = ( 5 x 32 ) / 160
GCD(5, 32) = 160 / 160
GCD(5, 32) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 700
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 700) = 700
GCD(1, 700) = ( 1 x 700 ) / 700
GCD(1, 700) = 700 / 700
GCD(1, 700) = 1
GCD of 835, 280, 32, 700 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 835, 280, 32, 700?
GCD of 835, 280, 32, 700 is 1
2. Where do I get the detailed procedure to find GCD of 835, 280, 32, 700?
You can find a detailed procedure to find GCD of 835, 280, 32, 700 on our page.
3. How to find GCD of 835, 280, 32, 700 on a calculator?
You can find the GCD of 835, 280, 32, 700 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.