GCD of 600, 735, 553 Calculator
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 600, 735, 553 i.e. 1 largest integer that divides all the numbers equally.
GCD of 600, 735, 553 is 1
GCD(600, 735, 553) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 600, 735, 553 is 1
GCD(600, 735, 553) = 1
GCDof 600,735,553 is 1
Given Input numbers are 600, 735, 553
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 600
List of positive integer divisors of 600 that divides 600 without a remainder.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
Divisors of 735
List of positive integer divisors of 735 that divides 735 without a remainder.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Greatest Common Divisior
We found the divisors of 600, 735, 553 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 600, 735, 553 is 1.
Therefore, GCD of numbers 600, 735, 553 is 1
Given Input Data is 600, 735, 553
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 600 is 2 x 2 x 2 x 3 x 5 x 5
Prime Factorization of 735 is 3 x 5 x 7 x 7
Prime Factorization of 553 is 7 x 79
The above numbers do not have any common prime factor. So GCD is 1
Finding GCD of 600, 735, 553 using LCM Formula
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(600, 735) = 29400
GCD(600, 735) = ( 600 x 735 ) / 29400
GCD(600, 735) = 441000 / 29400
GCD(600, 735) = 15
Step2:
Here we consider the GCD from the above i.e. 15 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(15, 553) = 8295
GCD(15, 553) = ( 15 x 553 ) / 8295
GCD(15, 553) = 8295 / 8295
GCD(15, 553) = 1
GCD of 600, 735, 553 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
FAQs on GCD of numbers 600, 735, 553
1. What is the GCD of 600, 735, 553?
GCD of 600, 735, 553 is 1
2. Where do I get the detailed procedure to find GCD of 600, 735, 553?
You can find a detailed procedure to find GCD of 600, 735, 553 on our page.
3. How to find GCD of 600, 735, 553 on a calculator?
You can find the GCD of 600, 735, 553 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.