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 646, 374, 553, 692 i.e. 1 largest integer that divides all the numbers equally.
GCD of 646, 374, 553, 692 is 1
GCD(646, 374, 553, 692) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 646, 374, 553, 692 is 1
GCD(646, 374, 553, 692) = 1
Given Input numbers are 646, 374, 553, 692
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 646
List of positive integer divisors of 646 that divides 646 without a remainder.
1, 2, 17, 19, 34, 38, 323, 646
Divisors of 374
List of positive integer divisors of 374 that divides 374 without a remainder.
1, 2, 11, 17, 22, 34, 187, 374
Divisors of 553
List of positive integer divisors of 553 that divides 553 without a remainder.
1, 7, 79, 553
Divisors of 692
List of positive integer divisors of 692 that divides 692 without a remainder.
1, 2, 4, 173, 346, 692
Greatest Common Divisior
We found the divisors of 646, 374, 553, 692 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 646, 374, 553, 692 is 1.
Therefore, GCD of numbers 646, 374, 553, 692 is 1
Given Input Data is 646, 374, 553, 692
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 646 is 2 x 17 x 19
Prime Factorization of 374 is 2 x 11 x 17
Prime Factorization of 553 is 7 x 79
Prime Factorization of 692 is 2 x 2 x 173
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(646, 374) = 7106
GCD(646, 374) = ( 646 x 374 ) / 7106
GCD(646, 374) = 241604 / 7106
GCD(646, 374) = 34
Step2:
Here we consider the GCD from the above i.e. 34 as first number and the next as 553
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(34, 553) = 18802
GCD(34, 553) = ( 34 x 553 ) / 18802
GCD(34, 553) = 18802 / 18802
GCD(34, 553) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 692
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 692) = 692
GCD(1, 692) = ( 1 x 692 ) / 692
GCD(1, 692) = 692 / 692
GCD(1, 692) = 1
GCD of 646, 374, 553, 692 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 646, 374, 553, 692?
GCD of 646, 374, 553, 692 is 1
2. Where do I get the detailed procedure to find GCD of 646, 374, 553, 692?
You can find a detailed procedure to find GCD of 646, 374, 553, 692 on our page.
3. How to find GCD of 646, 374, 553, 692 on a calculator?
You can find the GCD of 646, 374, 553, 692 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.