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 948, 969, 496, 332 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 969, 496, 332 is 1
GCD(948, 969, 496, 332) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 969, 496, 332 is 1
GCD(948, 969, 496, 332) = 1
Given Input numbers are 948, 969, 496, 332
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 969
List of positive integer divisors of 969 that divides 969 without a remainder.
1, 3, 17, 19, 51, 57, 323, 969
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 332
List of positive integer divisors of 332 that divides 332 without a remainder.
1, 2, 4, 83, 166, 332
Greatest Common Divisior
We found the divisors of 948, 969, 496, 332 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 969, 496, 332 is 1.
Therefore, GCD of numbers 948, 969, 496, 332 is 1
Given Input Data is 948, 969, 496, 332
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 969 is 3 x 17 x 19
Prime Factorization of 496 is 2 x 2 x 2 x 2 x 31
Prime Factorization of 332 is 2 x 2 x 83
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(948, 969) = 306204
GCD(948, 969) = ( 948 x 969 ) / 306204
GCD(948, 969) = 918612 / 306204
GCD(948, 969) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 496
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 496) = 1488
GCD(3, 496) = ( 3 x 496 ) / 1488
GCD(3, 496) = 1488 / 1488
GCD(3, 496) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 332
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 332) = 332
GCD(1, 332) = ( 1 x 332 ) / 332
GCD(1, 332) = 332 / 332
GCD(1, 332) = 1
GCD of 948, 969, 496, 332 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 969, 496, 332?
GCD of 948, 969, 496, 332 is 1
2. Where do I get the detailed procedure to find GCD of 948, 969, 496, 332?
You can find a detailed procedure to find GCD of 948, 969, 496, 332 on our page.
3. How to find GCD of 948, 969, 496, 332 on a calculator?
You can find the GCD of 948, 969, 496, 332 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.