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, 386, 699, 292 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 386, 699, 292 is 1
GCD(749, 386, 699, 292) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 386, 699, 292 is 1
GCD(749, 386, 699, 292) = 1
Given Input numbers are 749, 386, 699, 292
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 386
List of positive integer divisors of 386 that divides 386 without a remainder.
1, 2, 193, 386
Divisors of 699
List of positive integer divisors of 699 that divides 699 without a remainder.
1, 3, 233, 699
Divisors of 292
List of positive integer divisors of 292 that divides 292 without a remainder.
1, 2, 4, 73, 146, 292
Greatest Common Divisior
We found the divisors of 749, 386, 699, 292 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 386, 699, 292 is 1.
Therefore, GCD of numbers 749, 386, 699, 292 is 1
Given Input Data is 749, 386, 699, 292
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 386 is 2 x 193
Prime Factorization of 699 is 3 x 233
Prime Factorization of 292 is 2 x 2 x 73
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, 386) = 289114
GCD(749, 386) = ( 749 x 386 ) / 289114
GCD(749, 386) = 289114 / 289114
GCD(749, 386) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 699
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 699) = 699
GCD(1, 699) = ( 1 x 699 ) / 699
GCD(1, 699) = 699 / 699
GCD(1, 699) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 292
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 292) = 292
GCD(1, 292) = ( 1 x 292 ) / 292
GCD(1, 292) = 292 / 292
GCD(1, 292) = 1
GCD of 749, 386, 699, 292 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 386, 699, 292?
GCD of 749, 386, 699, 292 is 1
2. Where do I get the detailed procedure to find GCD of 749, 386, 699, 292?
You can find a detailed procedure to find GCD of 749, 386, 699, 292 on our page.
3. How to find GCD of 749, 386, 699, 292 on a calculator?
You can find the GCD of 749, 386, 699, 292 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.