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 637, 672, 42, 510 i.e. 1 largest integer that divides all the numbers equally.
GCD of 637, 672, 42, 510 is 1
GCD(637, 672, 42, 510) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 637, 672, 42, 510 is 1
GCD(637, 672, 42, 510) = 1
Given Input numbers are 637, 672, 42, 510
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 637
List of positive integer divisors of 637 that divides 637 without a remainder.
1, 7, 13, 49, 91, 637
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 42
List of positive integer divisors of 42 that divides 42 without a remainder.
1, 2, 3, 6, 7, 14, 21, 42
Divisors of 510
List of positive integer divisors of 510 that divides 510 without a remainder.
1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510
Greatest Common Divisior
We found the divisors of 637, 672, 42, 510 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 637, 672, 42, 510 is 1.
Therefore, GCD of numbers 637, 672, 42, 510 is 1
Given Input Data is 637, 672, 42, 510
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 637 is 7 x 7 x 13
Prime Factorization of 672 is 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 510 is 2 x 3 x 5 x 17
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(637, 672) = 61152
GCD(637, 672) = ( 637 x 672 ) / 61152
GCD(637, 672) = 428064 / 61152
GCD(637, 672) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 42) = 42
GCD(7, 42) = ( 7 x 42 ) / 42
GCD(7, 42) = 294 / 42
GCD(7, 42) = 7
Step3:
Here we consider the GCD from the above i.e. 7 as first number and the next as 510
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 510) = 3570
GCD(7, 510) = ( 7 x 510 ) / 3570
GCD(7, 510) = 3570 / 3570
GCD(7, 510) = 1
GCD of 637, 672, 42, 510 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 637, 672, 42, 510?
GCD of 637, 672, 42, 510 is 1
2. Where do I get the detailed procedure to find GCD of 637, 672, 42, 510?
You can find a detailed procedure to find GCD of 637, 672, 42, 510 on our page.
3. How to find GCD of 637, 672, 42, 510 on a calculator?
You can find the GCD of 637, 672, 42, 510 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.