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 526, 748, 387, 140 i.e. 1 largest integer that divides all the numbers equally.
GCD of 526, 748, 387, 140 is 1
GCD(526, 748, 387, 140) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 526, 748, 387, 140 is 1
GCD(526, 748, 387, 140) = 1
Given Input numbers are 526, 748, 387, 140
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 526
List of positive integer divisors of 526 that divides 526 without a remainder.
1, 2, 263, 526
Divisors of 748
List of positive integer divisors of 748 that divides 748 without a remainder.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 387
List of positive integer divisors of 387 that divides 387 without a remainder.
1, 3, 9, 43, 129, 387
Divisors of 140
List of positive integer divisors of 140 that divides 140 without a remainder.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Greatest Common Divisior
We found the divisors of 526, 748, 387, 140 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 526, 748, 387, 140 is 1.
Therefore, GCD of numbers 526, 748, 387, 140 is 1
Given Input Data is 526, 748, 387, 140
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 526 is 2 x 263
Prime Factorization of 748 is 2 x 2 x 11 x 17
Prime Factorization of 387 is 3 x 3 x 43
Prime Factorization of 140 is 2 x 2 x 5 x 7
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(526, 748) = 196724
GCD(526, 748) = ( 526 x 748 ) / 196724
GCD(526, 748) = 393448 / 196724
GCD(526, 748) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 387
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 387) = 774
GCD(2, 387) = ( 2 x 387 ) / 774
GCD(2, 387) = 774 / 774
GCD(2, 387) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 140
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 140) = 140
GCD(1, 140) = ( 1 x 140 ) / 140
GCD(1, 140) = 140 / 140
GCD(1, 140) = 1
GCD of 526, 748, 387, 140 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 526, 748, 387, 140?
GCD of 526, 748, 387, 140 is 1
2. Where do I get the detailed procedure to find GCD of 526, 748, 387, 140?
You can find a detailed procedure to find GCD of 526, 748, 387, 140 on our page.
3. How to find GCD of 526, 748, 387, 140 on a calculator?
You can find the GCD of 526, 748, 387, 140 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.