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 662, 305, 56, 624 i.e. 1 largest integer that divides all the numbers equally.
GCD of 662, 305, 56, 624 is 1
GCD(662, 305, 56, 624) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 662, 305, 56, 624 is 1
GCD(662, 305, 56, 624) = 1
Given Input numbers are 662, 305, 56, 624
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 662
List of positive integer divisors of 662 that divides 662 without a remainder.
1, 2, 331, 662
Divisors of 305
List of positive integer divisors of 305 that divides 305 without a remainder.
1, 5, 61, 305
Divisors of 56
List of positive integer divisors of 56 that divides 56 without a remainder.
1, 2, 4, 7, 8, 14, 28, 56
Divisors of 624
List of positive integer divisors of 624 that divides 624 without a remainder.
1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624
Greatest Common Divisior
We found the divisors of 662, 305, 56, 624 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 662, 305, 56, 624 is 1.
Therefore, GCD of numbers 662, 305, 56, 624 is 1
Given Input Data is 662, 305, 56, 624
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 662 is 2 x 331
Prime Factorization of 305 is 5 x 61
Prime Factorization of 56 is 2 x 2 x 2 x 7
Prime Factorization of 624 is 2 x 2 x 2 x 2 x 3 x 13
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(662, 305) = 201910
GCD(662, 305) = ( 662 x 305 ) / 201910
GCD(662, 305) = 201910 / 201910
GCD(662, 305) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 56
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 56) = 56
GCD(1, 56) = ( 1 x 56 ) / 56
GCD(1, 56) = 56 / 56
GCD(1, 56) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 624
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 624) = 624
GCD(1, 624) = ( 1 x 624 ) / 624
GCD(1, 624) = 624 / 624
GCD(1, 624) = 1
GCD of 662, 305, 56, 624 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 662, 305, 56, 624?
GCD of 662, 305, 56, 624 is 1
2. Where do I get the detailed procedure to find GCD of 662, 305, 56, 624?
You can find a detailed procedure to find GCD of 662, 305, 56, 624 on our page.
3. How to find GCD of 662, 305, 56, 624 on a calculator?
You can find the GCD of 662, 305, 56, 624 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.