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 49, 608, 175, 467 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 608, 175, 467 is 1
GCD(49, 608, 175, 467) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 608, 175, 467 is 1
GCD(49, 608, 175, 467) = 1
Given Input numbers are 49, 608, 175, 467
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 49
List of positive integer divisors of 49 that divides 49 without a remainder.
1, 7, 49
Divisors of 608
List of positive integer divisors of 608 that divides 608 without a remainder.
1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Divisors of 175
List of positive integer divisors of 175 that divides 175 without a remainder.
1, 5, 7, 25, 35, 175
Divisors of 467
List of positive integer divisors of 467 that divides 467 without a remainder.
1, 467
Greatest Common Divisior
We found the divisors of 49, 608, 175, 467 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 608, 175, 467 is 1.
Therefore, GCD of numbers 49, 608, 175, 467 is 1
Given Input Data is 49, 608, 175, 467
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 608 is 2 x 2 x 2 x 2 x 2 x 19
Prime Factorization of 175 is 5 x 5 x 7
Prime Factorization of 467 is 467
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(49, 608) = 29792
GCD(49, 608) = ( 49 x 608 ) / 29792
GCD(49, 608) = 29792 / 29792
GCD(49, 608) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 175
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 175) = 175
GCD(1, 175) = ( 1 x 175 ) / 175
GCD(1, 175) = 175 / 175
GCD(1, 175) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 467
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 467) = 467
GCD(1, 467) = ( 1 x 467 ) / 467
GCD(1, 467) = 467 / 467
GCD(1, 467) = 1
GCD of 49, 608, 175, 467 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 608, 175, 467?
GCD of 49, 608, 175, 467 is 1
2. Where do I get the detailed procedure to find GCD of 49, 608, 175, 467?
You can find a detailed procedure to find GCD of 49, 608, 175, 467 on our page.
3. How to find GCD of 49, 608, 175, 467 on a calculator?
You can find the GCD of 49, 608, 175, 467 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.