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 584, 150, 278, 661 i.e. 1 largest integer that divides all the numbers equally.
GCD of 584, 150, 278, 661 is 1
GCD(584, 150, 278, 661) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 584, 150, 278, 661 is 1
GCD(584, 150, 278, 661) = 1
Given Input numbers are 584, 150, 278, 661
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 584
List of positive integer divisors of 584 that divides 584 without a remainder.
1, 2, 4, 8, 73, 146, 292, 584
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 278
List of positive integer divisors of 278 that divides 278 without a remainder.
1, 2, 139, 278
Divisors of 661
List of positive integer divisors of 661 that divides 661 without a remainder.
1, 661
Greatest Common Divisior
We found the divisors of 584, 150, 278, 661 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 584, 150, 278, 661 is 1.
Therefore, GCD of numbers 584, 150, 278, 661 is 1
Given Input Data is 584, 150, 278, 661
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 584 is 2 x 2 x 2 x 73
Prime Factorization of 150 is 2 x 3 x 5 x 5
Prime Factorization of 278 is 2 x 139
Prime Factorization of 661 is 661
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(584, 150) = 43800
GCD(584, 150) = ( 584 x 150 ) / 43800
GCD(584, 150) = 87600 / 43800
GCD(584, 150) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 278
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 278) = 278
GCD(2, 278) = ( 2 x 278 ) / 278
GCD(2, 278) = 556 / 278
GCD(2, 278) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 661
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 661) = 1322
GCD(2, 661) = ( 2 x 661 ) / 1322
GCD(2, 661) = 1322 / 1322
GCD(2, 661) = 1
GCD of 584, 150, 278, 661 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 584, 150, 278, 661?
GCD of 584, 150, 278, 661 is 1
2. Where do I get the detailed procedure to find GCD of 584, 150, 278, 661?
You can find a detailed procedure to find GCD of 584, 150, 278, 661 on our page.
3. How to find GCD of 584, 150, 278, 661 on a calculator?
You can find the GCD of 584, 150, 278, 661 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.