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 642, 370, 54, 460 i.e. 2 largest integer that divides all the numbers equally.
GCD of 642, 370, 54, 460 is 2
GCD(642, 370, 54, 460) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 642, 370, 54, 460 is 2
GCD(642, 370, 54, 460) = 2
Given Input numbers are 642, 370, 54, 460
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 642
List of positive integer divisors of 642 that divides 642 without a remainder.
1, 2, 3, 6, 107, 214, 321, 642
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 54
List of positive integer divisors of 54 that divides 54 without a remainder.
1, 2, 3, 6, 9, 18, 27, 54
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 642, 370, 54, 460 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 642, 370, 54, 460 is 2.
Therefore, GCD of numbers 642, 370, 54, 460 is 2
Given Input Data is 642, 370, 54, 460
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 642 is 2 x 3 x 107
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 54 is 2 x 3 x 3 x 3
Prime Factorization of 460 is 2 x 2 x 5 x 23
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(642, 370) = 118770
GCD(642, 370) = ( 642 x 370 ) / 118770
GCD(642, 370) = 237540 / 118770
GCD(642, 370) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 54
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 54) = 54
GCD(2, 54) = ( 2 x 54 ) / 54
GCD(2, 54) = 108 / 54
GCD(2, 54) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 460
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 460) = 460
GCD(2, 460) = ( 2 x 460 ) / 460
GCD(2, 460) = 920 / 460
GCD(2, 460) = 2
GCD of 642, 370, 54, 460 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 642, 370, 54, 460?
GCD of 642, 370, 54, 460 is 2
2. Where do I get the detailed procedure to find GCD of 642, 370, 54, 460?
You can find a detailed procedure to find GCD of 642, 370, 54, 460 on our page.
3. How to find GCD of 642, 370, 54, 460 on a calculator?
You can find the GCD of 642, 370, 54, 460 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.