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 370, 762, 40, 926 i.e. 2 largest integer that divides all the numbers equally.
GCD of 370, 762, 40, 926 is 2
GCD(370, 762, 40, 926) = 2
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 370, 762, 40, 926 is 2
GCD(370, 762, 40, 926) = 2
Given Input numbers are 370, 762, 40, 926
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 370
List of positive integer divisors of 370 that divides 370 without a remainder.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
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 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 370, 762, 40, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 370, 762, 40, 926 is 2.
Therefore, GCD of numbers 370, 762, 40, 926 is 2
Given Input Data is 370, 762, 40, 926
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 370 is 2 x 5 x 37
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 40 is 2 x 2 x 2 x 5
Prime Factorization of 926 is 2 x 463
Highest common occurrences in the given inputs are 21
Multiplying them we get the GCD as 2
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(370, 762) = 140970
GCD(370, 762) = ( 370 x 762 ) / 140970
GCD(370, 762) = 281940 / 140970
GCD(370, 762) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 40
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 40) = 40
GCD(2, 40) = ( 2 x 40 ) / 40
GCD(2, 40) = 80 / 40
GCD(2, 40) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 926) = 926
GCD(2, 926) = ( 2 x 926 ) / 926
GCD(2, 926) = 1852 / 926
GCD(2, 926) = 2
GCD of 370, 762, 40, 926 is 2
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 370, 762, 40, 926?
GCD of 370, 762, 40, 926 is 2
2. Where do I get the detailed procedure to find GCD of 370, 762, 40, 926?
You can find a detailed procedure to find GCD of 370, 762, 40, 926 on our page.
3. How to find GCD of 370, 762, 40, 926 on a calculator?
You can find the GCD of 370, 762, 40, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.