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 357, 423, 64, 926 i.e. 1 largest integer that divides all the numbers equally.
GCD of 357, 423, 64, 926 is 1
GCD(357, 423, 64, 926) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 357, 423, 64, 926 is 1
GCD(357, 423, 64, 926) = 1
Given Input numbers are 357, 423, 64, 926
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 357
List of positive integer divisors of 357 that divides 357 without a remainder.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 423
List of positive integer divisors of 423 that divides 423 without a remainder.
1, 3, 9, 47, 141, 423
Divisors of 64
List of positive integer divisors of 64 that divides 64 without a remainder.
1, 2, 4, 8, 16, 32, 64
Divisors of 926
List of positive integer divisors of 926 that divides 926 without a remainder.
1, 2, 463, 926
Greatest Common Divisior
We found the divisors of 357, 423, 64, 926 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 357, 423, 64, 926 is 1.
Therefore, GCD of numbers 357, 423, 64, 926 is 1
Given Input Data is 357, 423, 64, 926
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 357 is 3 x 7 x 17
Prime Factorization of 423 is 3 x 3 x 47
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 926 is 2 x 463
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(357, 423) = 50337
GCD(357, 423) = ( 357 x 423 ) / 50337
GCD(357, 423) = 151011 / 50337
GCD(357, 423) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 64
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 64) = 192
GCD(3, 64) = ( 3 x 64 ) / 192
GCD(3, 64) = 192 / 192
GCD(3, 64) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 926
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 926) = 926
GCD(1, 926) = ( 1 x 926 ) / 926
GCD(1, 926) = 926 / 926
GCD(1, 926) = 1
GCD of 357, 423, 64, 926 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 357, 423, 64, 926?
GCD of 357, 423, 64, 926 is 1
2. Where do I get the detailed procedure to find GCD of 357, 423, 64, 926?
You can find a detailed procedure to find GCD of 357, 423, 64, 926 on our page.
3. How to find GCD of 357, 423, 64, 926 on a calculator?
You can find the GCD of 357, 423, 64, 926 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.