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, 280, 61, 848 i.e. 1 largest integer that divides all the numbers equally.
GCD of 177, 280, 61, 848 is 1
GCD(177, 280, 61, 848) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 177, 280, 61, 848 is 1
GCD(177, 280, 61, 848) = 1
Given Input numbers are 177, 280, 61, 848
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 280
List of positive integer divisors of 280 that divides 280 without a remainder.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 848
List of positive integer divisors of 848 that divides 848 without a remainder.
1, 2, 4, 8, 16, 53, 106, 212, 424, 848
Greatest Common Divisior
We found the divisors of 177, 280, 61, 848 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 177, 280, 61, 848 is 1.
Therefore, GCD of numbers 177, 280, 61, 848 is 1
Given Input Data is 177, 280, 61, 848
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 177 is 3 x 59
Prime Factorization of 280 is 2 x 2 x 2 x 5 x 7
Prime Factorization of 61 is 61
Prime Factorization of 848 is 2 x 2 x 2 x 2 x 53
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, 280) = 49560
GCD(177, 280) = ( 177 x 280 ) / 49560
GCD(177, 280) = 49560 / 49560
GCD(177, 280) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 61) = 61
GCD(1, 61) = ( 1 x 61 ) / 61
GCD(1, 61) = 61 / 61
GCD(1, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 848
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 848) = 848
GCD(1, 848) = ( 1 x 848 ) / 848
GCD(1, 848) = 848 / 848
GCD(1, 848) = 1
GCD of 177, 280, 61, 848 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 177, 280, 61, 848?
GCD of 177, 280, 61, 848 is 1
2. Where do I get the detailed procedure to find GCD of 177, 280, 61, 848?
You can find a detailed procedure to find GCD of 177, 280, 61, 848 on our page.
3. How to find GCD of 177, 280, 61, 848 on a calculator?
You can find the GCD of 177, 280, 61, 848 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.