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 750, 770, 285, 139 i.e. 1 largest integer that divides all the numbers equally.
GCD of 750, 770, 285, 139 is 1
GCD(750, 770, 285, 139) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 750, 770, 285, 139 is 1
GCD(750, 770, 285, 139) = 1
Given Input numbers are 750, 770, 285, 139
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 750
List of positive integer divisors of 750 that divides 750 without a remainder.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 285
List of positive integer divisors of 285 that divides 285 without a remainder.
1, 3, 5, 15, 19, 57, 95, 285
Divisors of 139
List of positive integer divisors of 139 that divides 139 without a remainder.
1, 139
Greatest Common Divisior
We found the divisors of 750, 770, 285, 139 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 750, 770, 285, 139 is 1.
Therefore, GCD of numbers 750, 770, 285, 139 is 1
Given Input Data is 750, 770, 285, 139
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 750 is 2 x 3 x 5 x 5 x 5
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 285 is 3 x 5 x 19
Prime Factorization of 139 is 139
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(750, 770) = 57750
GCD(750, 770) = ( 750 x 770 ) / 57750
GCD(750, 770) = 577500 / 57750
GCD(750, 770) = 10
Step2:
Here we consider the GCD from the above i.e. 10 as first number and the next as 285
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(10, 285) = 570
GCD(10, 285) = ( 10 x 285 ) / 570
GCD(10, 285) = 2850 / 570
GCD(10, 285) = 5
Step3:
Here we consider the GCD from the above i.e. 5 as first number and the next as 139
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 139) = 695
GCD(5, 139) = ( 5 x 139 ) / 695
GCD(5, 139) = 695 / 695
GCD(5, 139) = 1
GCD of 750, 770, 285, 139 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 750, 770, 285, 139?
GCD of 750, 770, 285, 139 is 1
2. Where do I get the detailed procedure to find GCD of 750, 770, 285, 139?
You can find a detailed procedure to find GCD of 750, 770, 285, 139 on our page.
3. How to find GCD of 750, 770, 285, 139 on a calculator?
You can find the GCD of 750, 770, 285, 139 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.