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 610, 438, 46, 632 i.e. 2 largest integer that divides all the numbers equally.
GCD of 610, 438, 46, 632 is 2
GCD(610, 438, 46, 632) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 610, 438, 46, 632 is 2
GCD(610, 438, 46, 632) = 2
Given Input numbers are 610, 438, 46, 632
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 610
List of positive integer divisors of 610 that divides 610 without a remainder.
1, 2, 5, 10, 61, 122, 305, 610
Divisors of 438
List of positive integer divisors of 438 that divides 438 without a remainder.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 632
List of positive integer divisors of 632 that divides 632 without a remainder.
1, 2, 4, 8, 79, 158, 316, 632
Greatest Common Divisior
We found the divisors of 610, 438, 46, 632 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 610, 438, 46, 632 is 2.
Therefore, GCD of numbers 610, 438, 46, 632 is 2
Given Input Data is 610, 438, 46, 632
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 610 is 2 x 5 x 61
Prime Factorization of 438 is 2 x 3 x 73
Prime Factorization of 46 is 2 x 23
Prime Factorization of 632 is 2 x 2 x 2 x 79
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(610, 438) = 133590
GCD(610, 438) = ( 610 x 438 ) / 133590
GCD(610, 438) = 267180 / 133590
GCD(610, 438) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 46
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 46) = 46
GCD(2, 46) = ( 2 x 46 ) / 46
GCD(2, 46) = 92 / 46
GCD(2, 46) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 632
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 632) = 632
GCD(2, 632) = ( 2 x 632 ) / 632
GCD(2, 632) = 1264 / 632
GCD(2, 632) = 2
GCD of 610, 438, 46, 632 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 610, 438, 46, 632?
GCD of 610, 438, 46, 632 is 2
2. Where do I get the detailed procedure to find GCD of 610, 438, 46, 632?
You can find a detailed procedure to find GCD of 610, 438, 46, 632 on our page.
3. How to find GCD of 610, 438, 46, 632 on a calculator?
You can find the GCD of 610, 438, 46, 632 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.