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 477, 749, 10, 741 i.e. 1 largest integer that divides all the numbers equally.
GCD of 477, 749, 10, 741 is 1
GCD(477, 749, 10, 741) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 477, 749, 10, 741 is 1
GCD(477, 749, 10, 741) = 1
Given Input numbers are 477, 749, 10, 741
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 477
List of positive integer divisors of 477 that divides 477 without a remainder.
1, 3, 9, 53, 159, 477
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 10
List of positive integer divisors of 10 that divides 10 without a remainder.
1, 2, 5, 10
Divisors of 741
List of positive integer divisors of 741 that divides 741 without a remainder.
1, 3, 13, 19, 39, 57, 247, 741
Greatest Common Divisior
We found the divisors of 477, 749, 10, 741 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 477, 749, 10, 741 is 1.
Therefore, GCD of numbers 477, 749, 10, 741 is 1
Given Input Data is 477, 749, 10, 741
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 477 is 3 x 3 x 53
Prime Factorization of 749 is 7 x 107
Prime Factorization of 10 is 2 x 5
Prime Factorization of 741 is 3 x 13 x 19
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(477, 749) = 357273
GCD(477, 749) = ( 477 x 749 ) / 357273
GCD(477, 749) = 357273 / 357273
GCD(477, 749) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 10
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 10) = 10
GCD(1, 10) = ( 1 x 10 ) / 10
GCD(1, 10) = 10 / 10
GCD(1, 10) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 741
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 741) = 741
GCD(1, 741) = ( 1 x 741 ) / 741
GCD(1, 741) = 741 / 741
GCD(1, 741) = 1
GCD of 477, 749, 10, 741 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 477, 749, 10, 741?
GCD of 477, 749, 10, 741 is 1
2. Where do I get the detailed procedure to find GCD of 477, 749, 10, 741?
You can find a detailed procedure to find GCD of 477, 749, 10, 741 on our page.
3. How to find GCD of 477, 749, 10, 741 on a calculator?
You can find the GCD of 477, 749, 10, 741 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.