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 532, 165, 354, 870 i.e. 1 largest integer that divides all the numbers equally.
GCD of 532, 165, 354, 870 is 1
GCD(532, 165, 354, 870) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 532, 165, 354, 870 is 1
GCD(532, 165, 354, 870) = 1
Given Input numbers are 532, 165, 354, 870
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 532
List of positive integer divisors of 532 that divides 532 without a remainder.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 165
List of positive integer divisors of 165 that divides 165 without a remainder.
1, 3, 5, 11, 15, 33, 55, 165
Divisors of 354
List of positive integer divisors of 354 that divides 354 without a remainder.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 870
List of positive integer divisors of 870 that divides 870 without a remainder.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Greatest Common Divisior
We found the divisors of 532, 165, 354, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 532, 165, 354, 870 is 1.
Therefore, GCD of numbers 532, 165, 354, 870 is 1
Given Input Data is 532, 165, 354, 870
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 532 is 2 x 2 x 7 x 19
Prime Factorization of 165 is 3 x 5 x 11
Prime Factorization of 354 is 2 x 3 x 59
Prime Factorization of 870 is 2 x 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(532, 165) = 87780
GCD(532, 165) = ( 532 x 165 ) / 87780
GCD(532, 165) = 87780 / 87780
GCD(532, 165) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 354
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
GCD(1, 354) = 354 / 354
GCD(1, 354) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 870
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 870) = 870
GCD(1, 870) = ( 1 x 870 ) / 870
GCD(1, 870) = 870 / 870
GCD(1, 870) = 1
GCD of 532, 165, 354, 870 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 532, 165, 354, 870?
GCD of 532, 165, 354, 870 is 1
2. Where do I get the detailed procedure to find GCD of 532, 165, 354, 870?
You can find a detailed procedure to find GCD of 532, 165, 354, 870 on our page.
3. How to find GCD of 532, 165, 354, 870 on a calculator?
You can find the GCD of 532, 165, 354, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.