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 747, 776, 675, 203 i.e. 1 largest integer that divides all the numbers equally.
GCD of 747, 776, 675, 203 is 1
GCD(747, 776, 675, 203) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 747, 776, 675, 203 is 1
GCD(747, 776, 675, 203) = 1
Given Input numbers are 747, 776, 675, 203
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 747
List of positive integer divisors of 747 that divides 747 without a remainder.
1, 3, 9, 83, 249, 747
Divisors of 776
List of positive integer divisors of 776 that divides 776 without a remainder.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 675
List of positive integer divisors of 675 that divides 675 without a remainder.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 203
List of positive integer divisors of 203 that divides 203 without a remainder.
1, 7, 29, 203
Greatest Common Divisior
We found the divisors of 747, 776, 675, 203 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 747, 776, 675, 203 is 1.
Therefore, GCD of numbers 747, 776, 675, 203 is 1
Given Input Data is 747, 776, 675, 203
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 747 is 3 x 3 x 83
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 675 is 3 x 3 x 3 x 5 x 5
Prime Factorization of 203 is 7 x 29
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(747, 776) = 579672
GCD(747, 776) = ( 747 x 776 ) / 579672
GCD(747, 776) = 579672 / 579672
GCD(747, 776) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 675
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 675) = 675
GCD(1, 675) = ( 1 x 675 ) / 675
GCD(1, 675) = 675 / 675
GCD(1, 675) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 203
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 203) = 203
GCD(1, 203) = ( 1 x 203 ) / 203
GCD(1, 203) = 203 / 203
GCD(1, 203) = 1
GCD of 747, 776, 675, 203 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 747, 776, 675, 203?
GCD of 747, 776, 675, 203 is 1
2. Where do I get the detailed procedure to find GCD of 747, 776, 675, 203?
You can find a detailed procedure to find GCD of 747, 776, 675, 203 on our page.
3. How to find GCD of 747, 776, 675, 203 on a calculator?
You can find the GCD of 747, 776, 675, 203 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.