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 220, 289, 42, 751 i.e. 1 largest integer that divides all the numbers equally.
GCD of 220, 289, 42, 751 is 1
GCD(220, 289, 42, 751) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 220, 289, 42, 751 is 1
GCD(220, 289, 42, 751) = 1
Given Input numbers are 220, 289, 42, 751
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 220
List of positive integer divisors of 220 that divides 220 without a remainder.
1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220
Divisors of 289
List of positive integer divisors of 289 that divides 289 without a remainder.
1, 17, 289
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 751
List of positive integer divisors of 751 that divides 751 without a remainder.
1, 751
Greatest Common Divisior
We found the divisors of 220, 289, 42, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 220, 289, 42, 751 is 1.
Therefore, GCD of numbers 220, 289, 42, 751 is 1
Given Input Data is 220, 289, 42, 751
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 220 is 2 x 2 x 5 x 11
Prime Factorization of 289 is 17 x 17
Prime Factorization of 42 is 2 x 3 x 7
Prime Factorization of 751 is 751
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(220, 289) = 63580
GCD(220, 289) = ( 220 x 289 ) / 63580
GCD(220, 289) = 63580 / 63580
GCD(220, 289) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 42
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 42) = 42
GCD(1, 42) = ( 1 x 42 ) / 42
GCD(1, 42) = 42 / 42
GCD(1, 42) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 751
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 751) = 751
GCD(1, 751) = ( 1 x 751 ) / 751
GCD(1, 751) = 751 / 751
GCD(1, 751) = 1
GCD of 220, 289, 42, 751 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 220, 289, 42, 751?
GCD of 220, 289, 42, 751 is 1
2. Where do I get the detailed procedure to find GCD of 220, 289, 42, 751?
You can find a detailed procedure to find GCD of 220, 289, 42, 751 on our page.
3. How to find GCD of 220, 289, 42, 751 on a calculator?
You can find the GCD of 220, 289, 42, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.