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, 896, 689, 460 i.e. 1 largest integer that divides all the numbers equally.
GCD of 948, 896, 689, 460 is 1
GCD(948, 896, 689, 460) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 948, 896, 689, 460 is 1
GCD(948, 896, 689, 460) = 1
Given Input numbers are 948, 896, 689, 460
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 896
List of positive integer divisors of 896 that divides 896 without a remainder.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896
Divisors of 689
List of positive integer divisors of 689 that divides 689 without a remainder.
1, 13, 53, 689
Divisors of 460
List of positive integer divisors of 460 that divides 460 without a remainder.
1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460
Greatest Common Divisior
We found the divisors of 948, 896, 689, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 948, 896, 689, 460 is 1.
Therefore, GCD of numbers 948, 896, 689, 460 is 1
Given Input Data is 948, 896, 689, 460
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 896 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7
Prime Factorization of 689 is 13 x 53
Prime Factorization of 460 is 2 x 2 x 5 x 23
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, 896) = 212352
GCD(948, 896) = ( 948 x 896 ) / 212352
GCD(948, 896) = 849408 / 212352
GCD(948, 896) = 4
Step2:
Here we consider the GCD from the above i.e. 4 as first number and the next as 689
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(4, 689) = 2756
GCD(4, 689) = ( 4 x 689 ) / 2756
GCD(4, 689) = 2756 / 2756
GCD(4, 689) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 460) = 460
GCD(1, 460) = ( 1 x 460 ) / 460
GCD(1, 460) = 460 / 460
GCD(1, 460) = 1
GCD of 948, 896, 689, 460 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 948, 896, 689, 460?
GCD of 948, 896, 689, 460 is 1
2. Where do I get the detailed procedure to find GCD of 948, 896, 689, 460?
You can find a detailed procedure to find GCD of 948, 896, 689, 460 on our page.
3. How to find GCD of 948, 896, 689, 460 on a calculator?
You can find the GCD of 948, 896, 689, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.