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 451, 970, 72, 352 i.e. 1 largest integer that divides all the numbers equally.
GCD of 451, 970, 72, 352 is 1
GCD(451, 970, 72, 352) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 451, 970, 72, 352 is 1
GCD(451, 970, 72, 352) = 1
Given Input numbers are 451, 970, 72, 352
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 451
List of positive integer divisors of 451 that divides 451 without a remainder.
1, 11, 41, 451
Divisors of 970
List of positive integer divisors of 970 that divides 970 without a remainder.
1, 2, 5, 10, 97, 194, 485, 970
Divisors of 72
List of positive integer divisors of 72 that divides 72 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72
Divisors of 352
List of positive integer divisors of 352 that divides 352 without a remainder.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
Greatest Common Divisior
We found the divisors of 451, 970, 72, 352 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 451, 970, 72, 352 is 1.
Therefore, GCD of numbers 451, 970, 72, 352 is 1
Given Input Data is 451, 970, 72, 352
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 451 is 11 x 41
Prime Factorization of 970 is 2 x 5 x 97
Prime Factorization of 72 is 2 x 2 x 2 x 3 x 3
Prime Factorization of 352 is 2 x 2 x 2 x 2 x 2 x 11
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(451, 970) = 437470
GCD(451, 970) = ( 451 x 970 ) / 437470
GCD(451, 970) = 437470 / 437470
GCD(451, 970) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 72
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 72) = 72
GCD(1, 72) = ( 1 x 72 ) / 72
GCD(1, 72) = 72 / 72
GCD(1, 72) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 352
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
GCD(1, 352) = 352 / 352
GCD(1, 352) = 1
GCD of 451, 970, 72, 352 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 451, 970, 72, 352?
GCD of 451, 970, 72, 352 is 1
2. Where do I get the detailed procedure to find GCD of 451, 970, 72, 352?
You can find a detailed procedure to find GCD of 451, 970, 72, 352 on our page.
3. How to find GCD of 451, 970, 72, 352 on a calculator?
You can find the GCD of 451, 970, 72, 352 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.