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 535, 654, 649, 567 i.e. 1 largest integer that divides all the numbers equally.
GCD of 535, 654, 649, 567 is 1
GCD(535, 654, 649, 567) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 535, 654, 649, 567 is 1
GCD(535, 654, 649, 567) = 1
Given Input numbers are 535, 654, 649, 567
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 535
List of positive integer divisors of 535 that divides 535 without a remainder.
1, 5, 107, 535
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 649
List of positive integer divisors of 649 that divides 649 without a remainder.
1, 11, 59, 649
Divisors of 567
List of positive integer divisors of 567 that divides 567 without a remainder.
1, 3, 7, 9, 21, 27, 63, 81, 189, 567
Greatest Common Divisior
We found the divisors of 535, 654, 649, 567 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 535, 654, 649, 567 is 1.
Therefore, GCD of numbers 535, 654, 649, 567 is 1
Given Input Data is 535, 654, 649, 567
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 535 is 5 x 107
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 649 is 11 x 59
Prime Factorization of 567 is 3 x 3 x 3 x 3 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(535, 654) = 349890
GCD(535, 654) = ( 535 x 654 ) / 349890
GCD(535, 654) = 349890 / 349890
GCD(535, 654) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 649
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 649) = 649
GCD(1, 649) = ( 1 x 649 ) / 649
GCD(1, 649) = 649 / 649
GCD(1, 649) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 567
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 567) = 567
GCD(1, 567) = ( 1 x 567 ) / 567
GCD(1, 567) = 567 / 567
GCD(1, 567) = 1
GCD of 535, 654, 649, 567 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 535, 654, 649, 567?
GCD of 535, 654, 649, 567 is 1
2. Where do I get the detailed procedure to find GCD of 535, 654, 649, 567?
You can find a detailed procedure to find GCD of 535, 654, 649, 567 on our page.
3. How to find GCD of 535, 654, 649, 567 on a calculator?
You can find the GCD of 535, 654, 649, 567 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.