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 552, 769, 144, 758 i.e. 1 largest integer that divides all the numbers equally.
GCD of 552, 769, 144, 758 is 1
GCD(552, 769, 144, 758) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 552, 769, 144, 758 is 1
GCD(552, 769, 144, 758) = 1
Given Input numbers are 552, 769, 144, 758
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 769
List of positive integer divisors of 769 that divides 769 without a remainder.
1, 769
Divisors of 144
List of positive integer divisors of 144 that divides 144 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
Divisors of 758
List of positive integer divisors of 758 that divides 758 without a remainder.
1, 2, 379, 758
Greatest Common Divisior
We found the divisors of 552, 769, 144, 758 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 552, 769, 144, 758 is 1.
Therefore, GCD of numbers 552, 769, 144, 758 is 1
Given Input Data is 552, 769, 144, 758
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 769 is 769
Prime Factorization of 144 is 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 758 is 2 x 379
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(552, 769) = 424488
GCD(552, 769) = ( 552 x 769 ) / 424488
GCD(552, 769) = 424488 / 424488
GCD(552, 769) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 144
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 144) = 144
GCD(1, 144) = ( 1 x 144 ) / 144
GCD(1, 144) = 144 / 144
GCD(1, 144) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 758
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
GCD(1, 758) = 758 / 758
GCD(1, 758) = 1
GCD of 552, 769, 144, 758 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 552, 769, 144, 758?
GCD of 552, 769, 144, 758 is 1
2. Where do I get the detailed procedure to find GCD of 552, 769, 144, 758?
You can find a detailed procedure to find GCD of 552, 769, 144, 758 on our page.
3. How to find GCD of 552, 769, 144, 758 on a calculator?
You can find the GCD of 552, 769, 144, 758 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.