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 749, 950, 431, 502 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 950, 431, 502 is 1
GCD(749, 950, 431, 502) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 950, 431, 502 is 1
GCD(749, 950, 431, 502) = 1
Given Input numbers are 749, 950, 431, 502
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 749
List of positive integer divisors of 749 that divides 749 without a remainder.
1, 7, 107, 749
Divisors of 950
List of positive integer divisors of 950 that divides 950 without a remainder.
1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950
Divisors of 431
List of positive integer divisors of 431 that divides 431 without a remainder.
1, 431
Divisors of 502
List of positive integer divisors of 502 that divides 502 without a remainder.
1, 2, 251, 502
Greatest Common Divisior
We found the divisors of 749, 950, 431, 502 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 950, 431, 502 is 1.
Therefore, GCD of numbers 749, 950, 431, 502 is 1
Given Input Data is 749, 950, 431, 502
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 950 is 2 x 5 x 5 x 19
Prime Factorization of 431 is 431
Prime Factorization of 502 is 2 x 251
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(749, 950) = 711550
GCD(749, 950) = ( 749 x 950 ) / 711550
GCD(749, 950) = 711550 / 711550
GCD(749, 950) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 431
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 431) = 431
GCD(1, 431) = ( 1 x 431 ) / 431
GCD(1, 431) = 431 / 431
GCD(1, 431) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 502
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 502) = 502
GCD(1, 502) = ( 1 x 502 ) / 502
GCD(1, 502) = 502 / 502
GCD(1, 502) = 1
GCD of 749, 950, 431, 502 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 950, 431, 502?
GCD of 749, 950, 431, 502 is 1
2. Where do I get the detailed procedure to find GCD of 749, 950, 431, 502?
You can find a detailed procedure to find GCD of 749, 950, 431, 502 on our page.
3. How to find GCD of 749, 950, 431, 502 on a calculator?
You can find the GCD of 749, 950, 431, 502 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.