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 756, 977, 44, 606 i.e. 1 largest integer that divides all the numbers equally.
GCD of 756, 977, 44, 606 is 1
GCD(756, 977, 44, 606) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 756, 977, 44, 606 is 1
GCD(756, 977, 44, 606) = 1
Given Input numbers are 756, 977, 44, 606
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 756
List of positive integer divisors of 756 that divides 756 without a remainder.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
Divisors of 977
List of positive integer divisors of 977 that divides 977 without a remainder.
1, 977
Divisors of 44
List of positive integer divisors of 44 that divides 44 without a remainder.
1, 2, 4, 11, 22, 44
Divisors of 606
List of positive integer divisors of 606 that divides 606 without a remainder.
1, 2, 3, 6, 101, 202, 303, 606
Greatest Common Divisior
We found the divisors of 756, 977, 44, 606 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 756, 977, 44, 606 is 1.
Therefore, GCD of numbers 756, 977, 44, 606 is 1
Given Input Data is 756, 977, 44, 606
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 756 is 2 x 2 x 3 x 3 x 3 x 7
Prime Factorization of 977 is 977
Prime Factorization of 44 is 2 x 2 x 11
Prime Factorization of 606 is 2 x 3 x 101
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(756, 977) = 738612
GCD(756, 977) = ( 756 x 977 ) / 738612
GCD(756, 977) = 738612 / 738612
GCD(756, 977) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 44
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 44) = 44
GCD(1, 44) = ( 1 x 44 ) / 44
GCD(1, 44) = 44 / 44
GCD(1, 44) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 606
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 606) = 606
GCD(1, 606) = ( 1 x 606 ) / 606
GCD(1, 606) = 606 / 606
GCD(1, 606) = 1
GCD of 756, 977, 44, 606 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 756, 977, 44, 606?
GCD of 756, 977, 44, 606 is 1
2. Where do I get the detailed procedure to find GCD of 756, 977, 44, 606?
You can find a detailed procedure to find GCD of 756, 977, 44, 606 on our page.
3. How to find GCD of 756, 977, 44, 606 on a calculator?
You can find the GCD of 756, 977, 44, 606 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.