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 62, 664, 896, 649 i.e. 1 largest integer that divides all the numbers equally.
GCD of 62, 664, 896, 649 is 1
GCD(62, 664, 896, 649) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 62, 664, 896, 649 is 1
GCD(62, 664, 896, 649) = 1
Given Input numbers are 62, 664, 896, 649
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 62
List of positive integer divisors of 62 that divides 62 without a remainder.
1, 2, 31, 62
Divisors of 664
List of positive integer divisors of 664 that divides 664 without a remainder.
1, 2, 4, 8, 83, 166, 332, 664
Divisors of 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Greatest Common Divisior
We found the divisors of 62, 664, 896, 649 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 62, 664, 896, 649 is 1.
Therefore, GCD of numbers 62, 664, 896, 649 is 1
Given Input Data is 62, 664, 896, 649
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 62 is 2 x 31
Prime Factorization of 664 is 2 x 2 x 2 x 83
Prime Factorization of 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 649 is 11 x 59
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(62, 664) = 20584
GCD(62, 664) = ( 62 x 664 ) / 20584
GCD(62, 664) = 41168 / 20584
GCD(62, 664) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 896
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 896) = 896
GCD(2, 896) = ( 2 x 896 ) / 896
GCD(2, 896) = 1792 / 896
GCD(2, 896) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 649) = 1298
GCD(2, 649) = ( 2 x 649 ) / 1298
GCD(2, 649) = 1298 / 1298
GCD(2, 649) = 1
GCD of 62, 664, 896, 649 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 62, 664, 896, 649?
GCD of 62, 664, 896, 649 is 1
2. Where do I get the detailed procedure to find GCD of 62, 664, 896, 649?
You can find a detailed procedure to find GCD of 62, 664, 896, 649 on our page.
3. How to find GCD of 62, 664, 896, 649 on a calculator?
You can find the GCD of 62, 664, 896, 649 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.