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 496, 334, 61, 356 i.e. 1 largest integer that divides all the numbers equally.
GCD of 496, 334, 61, 356 is 1
GCD(496, 334, 61, 356) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 496, 334, 61, 356 is 1
GCD(496, 334, 61, 356) = 1
Given Input numbers are 496, 334, 61, 356
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 496
List of positive integer divisors of 496 that divides 496 without a remainder.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 334
List of positive integer divisors of 334 that divides 334 without a remainder.
1, 2, 167, 334
Divisors of 61
List of positive integer divisors of 61 that divides 61 without a remainder.
1, 61
Divisors of 356
List of positive integer divisors of 356 that divides 356 without a remainder.
1, 2, 4, 89, 178, 356
Greatest Common Divisior
We found the divisors of 496, 334, 61, 356 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 496, 334, 61, 356 is 1.
Therefore, GCD of numbers 496, 334, 61, 356 is 1
Given Input Data is 496, 334, 61, 356
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 334 is 2 x 167
Prime Factorization of 61 is 61
Prime Factorization of 356 is 2 x 2 x 89
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(496, 334) = 82832
GCD(496, 334) = ( 496 x 334 ) / 82832
GCD(496, 334) = 165664 / 82832
GCD(496, 334) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 61
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 61) = 122
GCD(2, 61) = ( 2 x 61 ) / 122
GCD(2, 61) = 122 / 122
GCD(2, 61) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 356
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 356) = 356
GCD(1, 356) = ( 1 x 356 ) / 356
GCD(1, 356) = 356 / 356
GCD(1, 356) = 1
GCD of 496, 334, 61, 356 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 496, 334, 61, 356?
GCD of 496, 334, 61, 356 is 1
2. Where do I get the detailed procedure to find GCD of 496, 334, 61, 356?
You can find a detailed procedure to find GCD of 496, 334, 61, 356 on our page.
3. How to find GCD of 496, 334, 61, 356 on a calculator?
You can find the GCD of 496, 334, 61, 356 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.