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 264, 351, 64, 778 i.e. 1 largest integer that divides all the numbers equally.
GCD of 264, 351, 64, 778 is 1
GCD(264, 351, 64, 778) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 264, 351, 64, 778 is 1
GCD(264, 351, 64, 778) = 1
Given Input numbers are 264, 351, 64, 778
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 264
List of positive integer divisors of 264 that divides 264 without a remainder.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 351
List of positive integer divisors of 351 that divides 351 without a remainder.
1, 3, 9, 13, 27, 39, 117, 351
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 778
List of positive integer divisors of 778 that divides 778 without a remainder.
1, 2, 389, 778
Greatest Common Divisior
We found the divisors of 264, 351, 64, 778 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 264, 351, 64, 778 is 1.
Therefore, GCD of numbers 264, 351, 64, 778 is 1
Given Input Data is 264, 351, 64, 778
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 264 is 2 x 2 x 2 x 3 x 11
Prime Factorization of 351 is 3 x 3 x 3 x 13
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 778 is 2 x 389
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(264, 351) = 30888
GCD(264, 351) = ( 264 x 351 ) / 30888
GCD(264, 351) = 92664 / 30888
GCD(264, 351) = 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 778
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 778) = 778
GCD(1, 778) = ( 1 x 778 ) / 778
GCD(1, 778) = 778 / 778
GCD(1, 778) = 1
GCD of 264, 351, 64, 778 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 264, 351, 64, 778?
GCD of 264, 351, 64, 778 is 1
2. Where do I get the detailed procedure to find GCD of 264, 351, 64, 778?
You can find a detailed procedure to find GCD of 264, 351, 64, 778 on our page.
3. How to find GCD of 264, 351, 64, 778 on a calculator?
You can find the GCD of 264, 351, 64, 778 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.