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 177, 776, 28, 974 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 776, 28, 974 is 1
GCD(177, 776, 28, 974) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 776, 28, 974 is 1
GCD(177, 776, 28, 974) = 1
Given Input numbers are 177, 776, 28, 974
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 177
List of positive integer divisors of 177 that divides 177 without a remainder.
1, 3, 59, 177
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 28
List of positive integer divisors of 28 that divides 28 without a remainder.
1, 2, 4, 7, 14, 28
Divisors of 974
List of positive integer divisors of 974 that divides 974 without a remainder.
1, 2, 487, 974
Greatest Common Divisior
We found the divisors of 177, 776, 28, 974 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 776, 28, 974 is 1.
Therefore, GCD of numbers 177, 776, 28, 974 is 1
Given Input Data is 177, 776, 28, 974
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 776 is 2 x 2 x 2 x 97
Prime Factorization of 28 is 2 x 2 x 7
Prime Factorization of 974 is 2 x 487
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(177, 776) = 137352
GCD(177, 776) = ( 177 x 776 ) / 137352
GCD(177, 776) = 137352 / 137352
GCD(177, 776) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 28
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 28) = 28
GCD(1, 28) = ( 1 x 28 ) / 28
GCD(1, 28) = 28 / 28
GCD(1, 28) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 974
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 974) = 974
GCD(1, 974) = ( 1 x 974 ) / 974
GCD(1, 974) = 974 / 974
GCD(1, 974) = 1
GCD of 177, 776, 28, 974 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 776, 28, 974?
GCD of 177, 776, 28, 974 is 1
2. Where do I get the detailed procedure to find GCD of 177, 776, 28, 974?
You can find a detailed procedure to find GCD of 177, 776, 28, 974 on our page.
3. How to find GCD of 177, 776, 28, 974 on a calculator?
You can find the GCD of 177, 776, 28, 974 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.