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 674, 394, 707, 512 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 394, 707, 512 is 1
GCD(674, 394, 707, 512) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 394, 707, 512 is 1
GCD(674, 394, 707, 512) = 1
Given Input numbers are 674, 394, 707, 512
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 674
List of positive integer divisors of 674 that divides 674 without a remainder.
1, 2, 337, 674
Divisors of 394
List of positive integer divisors of 394 that divides 394 without a remainder.
1, 2, 197, 394
Divisors of 707
List of positive integer divisors of 707 that divides 707 without a remainder.
1, 7, 101, 707
Divisors of 512
List of positive integer divisors of 512 that divides 512 without a remainder.
1, 2, 4, 8, 16, 32, 64, 128, 256, 512
Greatest Common Divisior
We found the divisors of 674, 394, 707, 512 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 394, 707, 512 is 1.
Therefore, GCD of numbers 674, 394, 707, 512 is 1
Given Input Data is 674, 394, 707, 512
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 394 is 2 x 197
Prime Factorization of 707 is 7 x 101
Prime Factorization of 512 is 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2
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(674, 394) = 132778
GCD(674, 394) = ( 674 x 394 ) / 132778
GCD(674, 394) = 265556 / 132778
GCD(674, 394) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 707
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 707) = 1414
GCD(2, 707) = ( 2 x 707 ) / 1414
GCD(2, 707) = 1414 / 1414
GCD(2, 707) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 512
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 512) = 512
GCD(1, 512) = ( 1 x 512 ) / 512
GCD(1, 512) = 512 / 512
GCD(1, 512) = 1
GCD of 674, 394, 707, 512 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 394, 707, 512?
GCD of 674, 394, 707, 512 is 1
2. Where do I get the detailed procedure to find GCD of 674, 394, 707, 512?
You can find a detailed procedure to find GCD of 674, 394, 707, 512 on our page.
3. How to find GCD of 674, 394, 707, 512 on a calculator?
You can find the GCD of 674, 394, 707, 512 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.