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, 714, 279, 654 i.e. 1 largest integer that divides all the numbers equally.
GCD of 749, 714, 279, 654 is 1
GCD(749, 714, 279, 654) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 749, 714, 279, 654 is 1
GCD(749, 714, 279, 654) = 1
Given Input numbers are 749, 714, 279, 654
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 714
List of positive integer divisors of 714 that divides 714 without a remainder.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 279
List of positive integer divisors of 279 that divides 279 without a remainder.
1, 3, 9, 31, 93, 279
Divisors of 654
List of positive integer divisors of 654 that divides 654 without a remainder.
1, 2, 3, 6, 109, 218, 327, 654
Greatest Common Divisior
We found the divisors of 749, 714, 279, 654 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 749, 714, 279, 654 is 1.
Therefore, GCD of numbers 749, 714, 279, 654 is 1
Given Input Data is 749, 714, 279, 654
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 749 is 7 x 107
Prime Factorization of 714 is 2 x 3 x 7 x 17
Prime Factorization of 279 is 3 x 3 x 31
Prime Factorization of 654 is 2 x 3 x 109
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, 714) = 76398
GCD(749, 714) = ( 749 x 714 ) / 76398
GCD(749, 714) = 534786 / 76398
GCD(749, 714) = 7
Step2:
Here we consider the GCD from the above i.e. 7 as first number and the next as 279
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(7, 279) = 1953
GCD(7, 279) = ( 7 x 279 ) / 1953
GCD(7, 279) = 1953 / 1953
GCD(7, 279) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 654
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 654) = 654
GCD(1, 654) = ( 1 x 654 ) / 654
GCD(1, 654) = 654 / 654
GCD(1, 654) = 1
GCD of 749, 714, 279, 654 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 749, 714, 279, 654?
GCD of 749, 714, 279, 654 is 1
2. Where do I get the detailed procedure to find GCD of 749, 714, 279, 654?
You can find a detailed procedure to find GCD of 749, 714, 279, 654 on our page.
3. How to find GCD of 749, 714, 279, 654 on a calculator?
You can find the GCD of 749, 714, 279, 654 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.