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 901, 757, 783, 374 i.e. 1 largest integer that divides all the numbers equally.
GCD of 901, 757, 783, 374 is 1
GCD(901, 757, 783, 374) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 901, 757, 783, 374 is 1
GCD(901, 757, 783, 374) = 1
Given Input numbers are 901, 757, 783, 374
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 901
List of positive integer divisors of 901 that divides 901 without a remainder.
1, 17, 53, 901
Divisors of 757
List of positive integer divisors of 757 that divides 757 without a remainder.
1, 757
Divisors of 783
List of positive integer divisors of 783 that divides 783 without a remainder.
1, 3, 9, 27, 29, 87, 261, 783
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Greatest Common Divisior
We found the divisors of 901, 757, 783, 374 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 901, 757, 783, 374 is 1.
Therefore, GCD of numbers 901, 757, 783, 374 is 1
Given Input Data is 901, 757, 783, 374
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 901 is 17 x 53
Prime Factorization of 757 is 757
Prime Factorization of 783 is 3 x 3 x 3 x 29
Prime Factorization of 374 is 2 x 11 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(901, 757) = 682057
GCD(901, 757) = ( 901 x 757 ) / 682057
GCD(901, 757) = 682057 / 682057
GCD(901, 757) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 783
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 783) = 783
GCD(1, 783) = ( 1 x 783 ) / 783
GCD(1, 783) = 783 / 783
GCD(1, 783) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 374
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 374) = 374
GCD(1, 374) = ( 1 x 374 ) / 374
GCD(1, 374) = 374 / 374
GCD(1, 374) = 1
GCD of 901, 757, 783, 374 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 901, 757, 783, 374?
GCD of 901, 757, 783, 374 is 1
2. Where do I get the detailed procedure to find GCD of 901, 757, 783, 374?
You can find a detailed procedure to find GCD of 901, 757, 783, 374 on our page.
3. How to find GCD of 901, 757, 783, 374 on a calculator?
You can find the GCD of 901, 757, 783, 374 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.