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, 118, 264, 921 i.e. 1 largest integer that divides all the numbers equally.
GCD of 49, 118, 264, 921 is 1
GCD(49, 118, 264, 921) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 49, 118, 264, 921 is 1
GCD(49, 118, 264, 921) = 1
Given Input numbers are 49, 118, 264, 921
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 118
List of positive integer divisors of 118 that divides 118 without a remainder.
1, 2, 59, 118
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 921
List of positive integer divisors of 921 that divides 921 without a remainder.
1, 3, 307, 921
Greatest Common Divisior
We found the divisors of 49, 118, 264, 921 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 49, 118, 264, 921 is 1.
Therefore, GCD of numbers 49, 118, 264, 921 is 1
Given Input Data is 49, 118, 264, 921
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 49 is 7 x 7
Prime Factorization of 118 is 2 x 59
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 921 is 3 x 307
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, 118) = 5782
GCD(49, 118) = ( 49 x 118 ) / 5782
GCD(49, 118) = 5782 / 5782
GCD(49, 118) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 264
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 264) = 264
GCD(1, 264) = ( 1 x 264 ) / 264
GCD(1, 264) = 264 / 264
GCD(1, 264) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 921
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 921) = 921
GCD(1, 921) = ( 1 x 921 ) / 921
GCD(1, 921) = 921 / 921
GCD(1, 921) = 1
GCD of 49, 118, 264, 921 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 49, 118, 264, 921?
GCD of 49, 118, 264, 921 is 1
2. Where do I get the detailed procedure to find GCD of 49, 118, 264, 921?
You can find a detailed procedure to find GCD of 49, 118, 264, 921 on our page.
3. How to find GCD of 49, 118, 264, 921 on a calculator?
You can find the GCD of 49, 118, 264, 921 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.