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 40, 552, 169, 751 i.e. 1 largest integer that divides all the numbers equally.
GCD of 40, 552, 169, 751 is 1
GCD(40, 552, 169, 751) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 40, 552, 169, 751 is 1
GCD(40, 552, 169, 751) = 1
Given Input numbers are 40, 552, 169, 751
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 40
List of positive integer divisors of 40 that divides 40 without a remainder.
1, 2, 4, 5, 8, 10, 20, 40
Divisors of 552
List of positive integer divisors of 552 that divides 552 without a remainder.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 169
List of positive integer divisors of 169 that divides 169 without a remainder.
1, 13, 169
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 40, 552, 169, 751 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 40, 552, 169, 751 is 1.
Therefore, GCD of numbers 40, 552, 169, 751 is 1
Given Input Data is 40, 552, 169, 751
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 552 is 2 x 2 x 2 x 3 x 23
Prime Factorization of 169 is 13 x 13
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(40, 552) = 2760
GCD(40, 552) = ( 40 x 552 ) / 2760
GCD(40, 552) = 22080 / 2760
GCD(40, 552) = 8
Step2:
Here we consider the GCD from the above i.e. 8 as first number and the next as 169
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(8, 169) = 1352
GCD(8, 169) = ( 8 x 169 ) / 1352
GCD(8, 169) = 1352 / 1352
GCD(8, 169) = 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 40, 552, 169, 751 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 40, 552, 169, 751?
GCD of 40, 552, 169, 751 is 1
2. Where do I get the detailed procedure to find GCD of 40, 552, 169, 751?
You can find a detailed procedure to find GCD of 40, 552, 169, 751 on our page.
3. How to find GCD of 40, 552, 169, 751 on a calculator?
You can find the GCD of 40, 552, 169, 751 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.