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 88, 654, 264, 731 i.e. 1 largest integer that divides all the numbers equally.
GCD of 88, 654, 264, 731 is 1
GCD(88, 654, 264, 731) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 88, 654, 264, 731 is 1
GCD(88, 654, 264, 731) = 1
Given Input numbers are 88, 654, 264, 731
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 88
List of positive integer divisors of 88 that divides 88 without a remainder.
1, 2, 4, 8, 11, 22, 44, 88
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 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 731
List of positive integer divisors of 731 that divides 731 without a remainder.
1, 17, 43, 731
Greatest Common Divisior
We found the divisors of 88, 654, 264, 731 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 88, 654, 264, 731 is 1.
Therefore, GCD of numbers 88, 654, 264, 731 is 1
Given Input Data is 88, 654, 264, 731
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 88 is 2 x 2 x 2 x 11
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 731 is 17 x 43
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(88, 654) = 28776
GCD(88, 654) = ( 88 x 654 ) / 28776
GCD(88, 654) = 57552 / 28776
GCD(88, 654) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 264) = 264
GCD(2, 264) = ( 2 x 264 ) / 264
GCD(2, 264) = 528 / 264
GCD(2, 264) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 731
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 731) = 1462
GCD(2, 731) = ( 2 x 731 ) / 1462
GCD(2, 731) = 1462 / 1462
GCD(2, 731) = 1
GCD of 88, 654, 264, 731 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 88, 654, 264, 731?
GCD of 88, 654, 264, 731 is 1
2. Where do I get the detailed procedure to find GCD of 88, 654, 264, 731?
You can find a detailed procedure to find GCD of 88, 654, 264, 731 on our page.
3. How to find GCD of 88, 654, 264, 731 on a calculator?
You can find the GCD of 88, 654, 264, 731 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.