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 749, 705, 576, 620 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 705, 576, 620 is 1
GCD(749, 705, 576, 620) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 705, 576, 620 is 1
GCD(749, 705, 576, 620) = 1
Given Input numbers are 749, 705, 576, 620
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 705
List of positive integer divisors of 705 that divides 705 without a remainder.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 576
List of positive integer divisors of 576 that divides 576 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576
Divisors of 620
List of positive integer divisors of 620 that divides 620 without a remainder.
1, 2, 4, 5, 10, 20, 31, 62, 124, 155, 310, 620
Greatest Common Divisior
We found the divisors of 749, 705, 576, 620 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 705, 576, 620 is 1.
Therefore, GCD of numbers 749, 705, 576, 620 is 1
Given Input Data is 749, 705, 576, 620
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 705 is 3 x 5 x 47
Prime Factorization of 576 is 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3
Prime Factorization of 620 is 2 x 2 x 5 x 31
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(749, 705) = 528045
GCD(749, 705) = ( 749 x 705 ) / 528045
GCD(749, 705) = 528045 / 528045
GCD(749, 705) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 576
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 576) = 576
GCD(1, 576) = ( 1 x 576 ) / 576
GCD(1, 576) = 576 / 576
GCD(1, 576) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 620
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 620) = 620
GCD(1, 620) = ( 1 x 620 ) / 620
GCD(1, 620) = 620 / 620
GCD(1, 620) = 1
GCD of 749, 705, 576, 620 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 705, 576, 620?
GCD of 749, 705, 576, 620 is 1
2. Where do I get the detailed procedure to find GCD of 749, 705, 576, 620?
You can find a detailed procedure to find GCD of 749, 705, 576, 620 on our page.
3. How to find GCD of 749, 705, 576, 620 on a calculator?
You can find the GCD of 749, 705, 576, 620 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.