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 60, 508, 862, 151 i.e. 1 largest integer that divides all the numbers equally.
GCD of 60, 508, 862, 151 is 1
GCD(60, 508, 862, 151) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 60, 508, 862, 151 is 1
GCD(60, 508, 862, 151) = 1
Given Input numbers are 60, 508, 862, 151
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 60
List of positive integer divisors of 60 that divides 60 without a remainder.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60
Divisors of 508
List of positive integer divisors of 508 that divides 508 without a remainder.
1, 2, 4, 127, 254, 508
Divisors of 862
List of positive integer divisors of 862 that divides 862 without a remainder.
1, 2, 431, 862
Divisors of 151
List of positive integer divisors of 151 that divides 151 without a remainder.
1, 151
Greatest Common Divisior
We found the divisors of 60, 508, 862, 151 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 60, 508, 862, 151 is 1.
Therefore, GCD of numbers 60, 508, 862, 151 is 1
Given Input Data is 60, 508, 862, 151
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 60 is 2 x 2 x 3 x 5
Prime Factorization of 508 is 2 x 2 x 127
Prime Factorization of 862 is 2 x 431
Prime Factorization of 151 is 151
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(60, 508) = 7620
GCD(60, 508) = ( 60 x 508 ) / 7620
GCD(60, 508) = 30480 / 7620
GCD(60, 508) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 862
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 862) = 1724
GCD(4, 862) = ( 4 x 862 ) / 1724
GCD(4, 862) = 3448 / 1724
GCD(4, 862) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 151
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 151) = 302
GCD(2, 151) = ( 2 x 151 ) / 302
GCD(2, 151) = 302 / 302
GCD(2, 151) = 1
GCD of 60, 508, 862, 151 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 60, 508, 862, 151?
GCD of 60, 508, 862, 151 is 1
2. Where do I get the detailed procedure to find GCD of 60, 508, 862, 151?
You can find a detailed procedure to find GCD of 60, 508, 862, 151 on our page.
3. How to find GCD of 60, 508, 862, 151 on a calculator?
You can find the GCD of 60, 508, 862, 151 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.