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, 929, 51, 373 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 929, 51, 373 is 1
GCD(749, 929, 51, 373) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 929, 51, 373 is 1
GCD(749, 929, 51, 373) = 1
Given Input numbers are 749, 929, 51, 373
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 929
List of positive integer divisors of 929 that divides 929 without a remainder.
1, 929
Divisors of 51
List of positive integer divisors of 51 that divides 51 without a remainder.
1, 3, 17, 51
Divisors of 373
List of positive integer divisors of 373 that divides 373 without a remainder.
1, 373
Greatest Common Divisior
We found the divisors of 749, 929, 51, 373 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 929, 51, 373 is 1.
Therefore, GCD of numbers 749, 929, 51, 373 is 1
Given Input Data is 749, 929, 51, 373
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 929 is 929
Prime Factorization of 51 is 3 x 17
Prime Factorization of 373 is 373
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, 929) = 695821
GCD(749, 929) = ( 749 x 929 ) / 695821
GCD(749, 929) = 695821 / 695821
GCD(749, 929) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 51
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
GCD(1, 51) = 51 / 51
GCD(1, 51) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 373
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 373) = 373
GCD(1, 373) = ( 1 x 373 ) / 373
GCD(1, 373) = 373 / 373
GCD(1, 373) = 1
GCD of 749, 929, 51, 373 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 929, 51, 373?
GCD of 749, 929, 51, 373 is 1
2. Where do I get the detailed procedure to find GCD of 749, 929, 51, 373?
You can find a detailed procedure to find GCD of 749, 929, 51, 373 on our page.
3. How to find GCD of 749, 929, 51, 373 on a calculator?
You can find the GCD of 749, 929, 51, 373 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.