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 654, 362, 57, 134 i.e. 1 largest integer that divides all the numbers equally.
GCD of 654, 362, 57, 134 is 1
GCD(654, 362, 57, 134) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 654, 362, 57, 134 is 1
GCD(654, 362, 57, 134) = 1
Given Input numbers are 654, 362, 57, 134
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 362
List of positive integer divisors of 362 that divides 362 without a remainder.
1, 2, 181, 362
Divisors of 57
List of positive integer divisors of 57 that divides 57 without a remainder.
1, 3, 19, 57
Divisors of 134
List of positive integer divisors of 134 that divides 134 without a remainder.
1, 2, 67, 134
Greatest Common Divisior
We found the divisors of 654, 362, 57, 134 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 654, 362, 57, 134 is 1.
Therefore, GCD of numbers 654, 362, 57, 134 is 1
Given Input Data is 654, 362, 57, 134
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 654 is 2 x 3 x 109
Prime Factorization of 362 is 2 x 181
Prime Factorization of 57 is 3 x 19
Prime Factorization of 134 is 2 x 67
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(654, 362) = 118374
GCD(654, 362) = ( 654 x 362 ) / 118374
GCD(654, 362) = 236748 / 118374
GCD(654, 362) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 57
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 57) = 114
GCD(2, 57) = ( 2 x 57 ) / 114
GCD(2, 57) = 114 / 114
GCD(2, 57) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 134
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 134) = 134
GCD(1, 134) = ( 1 x 134 ) / 134
GCD(1, 134) = 134 / 134
GCD(1, 134) = 1
GCD of 654, 362, 57, 134 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 654, 362, 57, 134?
GCD of 654, 362, 57, 134 is 1
2. Where do I get the detailed procedure to find GCD of 654, 362, 57, 134?
You can find a detailed procedure to find GCD of 654, 362, 57, 134 on our page.
3. How to find GCD of 654, 362, 57, 134 on a calculator?
You can find the GCD of 654, 362, 57, 134 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.