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 742, 246, 667, 685 i.e. 1 largest integer that divides all the numbers equally.
GCD of 742, 246, 667, 685 is 1
GCD(742, 246, 667, 685) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 742, 246, 667, 685 is 1
GCD(742, 246, 667, 685) = 1
Given Input numbers are 742, 246, 667, 685
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 742
List of positive integer divisors of 742 that divides 742 without a remainder.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 246
List of positive integer divisors of 246 that divides 246 without a remainder.
1, 2, 3, 6, 41, 82, 123, 246
Divisors of 667
List of positive integer divisors of 667 that divides 667 without a remainder.
1, 23, 29, 667
Divisors of 685
List of positive integer divisors of 685 that divides 685 without a remainder.
1, 5, 137, 685
Greatest Common Divisior
We found the divisors of 742, 246, 667, 685 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 742, 246, 667, 685 is 1.
Therefore, GCD of numbers 742, 246, 667, 685 is 1
Given Input Data is 742, 246, 667, 685
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 742 is 2 x 7 x 53
Prime Factorization of 246 is 2 x 3 x 41
Prime Factorization of 667 is 23 x 29
Prime Factorization of 685 is 5 x 137
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(742, 246) = 91266
GCD(742, 246) = ( 742 x 246 ) / 91266
GCD(742, 246) = 182532 / 91266
GCD(742, 246) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 667
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 667) = 1334
GCD(2, 667) = ( 2 x 667 ) / 1334
GCD(2, 667) = 1334 / 1334
GCD(2, 667) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 685
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 685) = 685
GCD(1, 685) = ( 1 x 685 ) / 685
GCD(1, 685) = 685 / 685
GCD(1, 685) = 1
GCD of 742, 246, 667, 685 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 742, 246, 667, 685?
GCD of 742, 246, 667, 685 is 1
2. Where do I get the detailed procedure to find GCD of 742, 246, 667, 685?
You can find a detailed procedure to find GCD of 742, 246, 667, 685 on our page.
3. How to find GCD of 742, 246, 667, 685 on a calculator?
You can find the GCD of 742, 246, 667, 685 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.