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 150, 632, 157, 245 i.e. 1 largest integer that divides all the numbers equally.
GCD of 150, 632, 157, 245 is 1
GCD(150, 632, 157, 245) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 150, 632, 157, 245 is 1
GCD(150, 632, 157, 245) = 1
Given Input numbers are 150, 632, 157, 245
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 150
List of positive integer divisors of 150 that divides 150 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 245
List of positive integer divisors of 245 that divides 245 without a remainder.
1, 5, 7, 35, 49, 245
Greatest Common Divisior
We found the divisors of 150, 632, 157, 245 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 150, 632, 157, 245 is 1.
Therefore, GCD of numbers 150, 632, 157, 245 is 1
Given Input Data is 150, 632, 157, 245
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 632 is 2 x 2 x 2 x 79
Prime Factorization of 157 is 157
Prime Factorization of 245 is 5 x 7 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(150, 632) = 47400
GCD(150, 632) = ( 150 x 632 ) / 47400
GCD(150, 632) = 94800 / 47400
GCD(150, 632) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 157) = 314
GCD(2, 157) = ( 2 x 157 ) / 314
GCD(2, 157) = 314 / 314
GCD(2, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 245
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 245) = 245
GCD(1, 245) = ( 1 x 245 ) / 245
GCD(1, 245) = 245 / 245
GCD(1, 245) = 1
GCD of 150, 632, 157, 245 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 150, 632, 157, 245?
GCD of 150, 632, 157, 245 is 1
2. Where do I get the detailed procedure to find GCD of 150, 632, 157, 245?
You can find a detailed procedure to find GCD of 150, 632, 157, 245 on our page.
3. How to find GCD of 150, 632, 157, 245 on a calculator?
You can find the GCD of 150, 632, 157, 245 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.