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 351, 672, 116, 894 i.e. 1 largest integer that divides all the numbers equally.
GCD of 351, 672, 116, 894 is 1
GCD(351, 672, 116, 894) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 351, 672, 116, 894 is 1
GCD(351, 672, 116, 894) = 1
Given Input numbers are 351, 672, 116, 894
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
Divisors of 672
List of positive integer divisors of 672 that divides 672 without a remainder.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
Divisors of 116
List of positive integer divisors of 116 that divides 116 without a remainder.
1, 2, 4, 29, 58, 116
Divisors of 894
List of positive integer divisors of 894 that divides 894 without a remainder.
1, 2, 3, 6, 149, 298, 447, 894
Greatest Common Divisior
We found the divisors of 351, 672, 116, 894 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 351, 672, 116, 894 is 1.
Therefore, GCD of numbers 351, 672, 116, 894 is 1
Given Input Data is 351, 672, 116, 894
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 116 is 2 x 2 x 29
Prime Factorization of 894 is 2 x 3 x 149
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(351, 672) = 78624
GCD(351, 672) = ( 351 x 672 ) / 78624
GCD(351, 672) = 235872 / 78624
GCD(351, 672) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 116
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 116) = 348
GCD(3, 116) = ( 3 x 116 ) / 348
GCD(3, 116) = 348 / 348
GCD(3, 116) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 894
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 894) = 894
GCD(1, 894) = ( 1 x 894 ) / 894
GCD(1, 894) = 894 / 894
GCD(1, 894) = 1
GCD of 351, 672, 116, 894 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 351, 672, 116, 894?
GCD of 351, 672, 116, 894 is 1
2. Where do I get the detailed procedure to find GCD of 351, 672, 116, 894?
You can find a detailed procedure to find GCD of 351, 672, 116, 894 on our page.
3. How to find GCD of 351, 672, 116, 894 on a calculator?
You can find the GCD of 351, 672, 116, 894 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.