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, 946, 509, 647 i.e. 1 largest integer that divides all the numbers equally.
GCD of 674, 946, 509, 647 is 1
GCD(674, 946, 509, 647) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 674, 946, 509, 647 is 1
GCD(674, 946, 509, 647) = 1
Given Input numbers are 674, 946, 509, 647
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 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 509
List of positive integer divisors of 509 that divides 509 without a remainder.
1, 509
Divisors of 647
List of positive integer divisors of 647 that divides 647 without a remainder.
1, 647
Greatest Common Divisior
We found the divisors of 674, 946, 509, 647 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 674, 946, 509, 647 is 1.
Therefore, GCD of numbers 674, 946, 509, 647 is 1
Given Input Data is 674, 946, 509, 647
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 674 is 2 x 337
Prime Factorization of 946 is 2 x 11 x 43
Prime Factorization of 509 is 509
Prime Factorization of 647 is 647
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, 946) = 318802
GCD(674, 946) = ( 674 x 946 ) / 318802
GCD(674, 946) = 637604 / 318802
GCD(674, 946) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 509
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 509) = 1018
GCD(2, 509) = ( 2 x 509 ) / 1018
GCD(2, 509) = 1018 / 1018
GCD(2, 509) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 647
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 647) = 647
GCD(1, 647) = ( 1 x 647 ) / 647
GCD(1, 647) = 647 / 647
GCD(1, 647) = 1
GCD of 674, 946, 509, 647 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 674, 946, 509, 647?
GCD of 674, 946, 509, 647 is 1
2. Where do I get the detailed procedure to find GCD of 674, 946, 509, 647?
You can find a detailed procedure to find GCD of 674, 946, 509, 647 on our page.
3. How to find GCD of 674, 946, 509, 647 on a calculator?
You can find the GCD of 674, 946, 509, 647 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.