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 736, 526, 677, 390 i.e. 1 largest integer that divides all the numbers equally.
GCD of 736, 526, 677, 390 is 1
GCD(736, 526, 677, 390) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 736, 526, 677, 390 is 1
GCD(736, 526, 677, 390) = 1
Given Input numbers are 736, 526, 677, 390
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 677
List of positive integer divisors of 677 that divides 677 without a remainder.
1, 677
Divisors of 390
List of positive integer divisors of 390 that divides 390 without a remainder.
1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390
Greatest Common Divisior
We found the divisors of 736, 526, 677, 390 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 736, 526, 677, 390 is 1.
Therefore, GCD of numbers 736, 526, 677, 390 is 1
Given Input Data is 736, 526, 677, 390
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 526 is 2 x 263
Prime Factorization of 677 is 677
Prime Factorization of 390 is 2 x 3 x 5 x 13
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(736, 526) = 193568
GCD(736, 526) = ( 736 x 526 ) / 193568
GCD(736, 526) = 387136 / 193568
GCD(736, 526) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 677
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 677) = 1354
GCD(2, 677) = ( 2 x 677 ) / 1354
GCD(2, 677) = 1354 / 1354
GCD(2, 677) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 390
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 390) = 390
GCD(1, 390) = ( 1 x 390 ) / 390
GCD(1, 390) = 390 / 390
GCD(1, 390) = 1
GCD of 736, 526, 677, 390 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 736, 526, 677, 390?
GCD of 736, 526, 677, 390 is 1
2. Where do I get the detailed procedure to find GCD of 736, 526, 677, 390?
You can find a detailed procedure to find GCD of 736, 526, 677, 390 on our page.
3. How to find GCD of 736, 526, 677, 390 on a calculator?
You can find the GCD of 736, 526, 677, 390 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.