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 533, 952, 360, 870 i.e. 1 largest integer that divides all the numbers equally.
GCD of 533, 952, 360, 870 is 1
GCD(533, 952, 360, 870) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 533, 952, 360, 870 is 1
GCD(533, 952, 360, 870) = 1
Given Input numbers are 533, 952, 360, 870
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 533
List of positive integer divisors of 533 that divides 533 without a remainder.
1, 13, 41, 533
Divisors of 952
List of positive integer divisors of 952 that divides 952 without a remainder.
1, 2, 4, 7, 8, 14, 17, 28, 34, 56, 68, 119, 136, 238, 476, 952
Divisors of 360
List of positive integer divisors of 360 that divides 360 without a remainder.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
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 533, 952, 360, 870 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 533, 952, 360, 870 is 1.
Therefore, GCD of numbers 533, 952, 360, 870 is 1
Given Input Data is 533, 952, 360, 870
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 533 is 13 x 41
Prime Factorization of 952 is 2 x 2 x 2 x 7 x 17
Prime Factorization of 360 is 2 x 2 x 2 x 3 x 3 x 5
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(533, 952) = 507416
GCD(533, 952) = ( 533 x 952 ) / 507416
GCD(533, 952) = 507416 / 507416
GCD(533, 952) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 360
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 360) = 360
GCD(1, 360) = ( 1 x 360 ) / 360
GCD(1, 360) = 360 / 360
GCD(1, 360) = 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 533, 952, 360, 870 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 533, 952, 360, 870?
GCD of 533, 952, 360, 870 is 1
2. Where do I get the detailed procedure to find GCD of 533, 952, 360, 870?
You can find a detailed procedure to find GCD of 533, 952, 360, 870 on our page.
3. How to find GCD of 533, 952, 360, 870 on a calculator?
You can find the GCD of 533, 952, 360, 870 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.