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 64, 378, 157, 753 i.e. 1 largest integer that divides all the numbers equally.
GCD of 64, 378, 157, 753 is 1
GCD(64, 378, 157, 753) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 64, 378, 157, 753 is 1
GCD(64, 378, 157, 753) = 1
Given Input numbers are 64, 378, 157, 753
To find the GCD of numbers using factoring list out all the divisors of each number
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 378
List of positive integer divisors of 378 that divides 378 without a remainder.
1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378
Divisors of 157
List of positive integer divisors of 157 that divides 157 without a remainder.
1, 157
Divisors of 753
List of positive integer divisors of 753 that divides 753 without a remainder.
1, 3, 251, 753
Greatest Common Divisior
We found the divisors of 64, 378, 157, 753 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 64, 378, 157, 753 is 1.
Therefore, GCD of numbers 64, 378, 157, 753 is 1
Given Input Data is 64, 378, 157, 753
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 64 is 2 x 2 x 2 x 2 x 2 x 2
Prime Factorization of 378 is 2 x 3 x 3 x 3 x 7
Prime Factorization of 157 is 157
Prime Factorization of 753 is 3 x 251
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(64, 378) = 12096
GCD(64, 378) = ( 64 x 378 ) / 12096
GCD(64, 378) = 24192 / 12096
GCD(64, 378) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 157
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 157) = 314
GCD(2, 157) = ( 2 x 157 ) / 314
GCD(2, 157) = 314 / 314
GCD(2, 157) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 753
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 753) = 753
GCD(1, 753) = ( 1 x 753 ) / 753
GCD(1, 753) = 753 / 753
GCD(1, 753) = 1
GCD of 64, 378, 157, 753 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 64, 378, 157, 753?
GCD of 64, 378, 157, 753 is 1
2. Where do I get the detailed procedure to find GCD of 64, 378, 157, 753?
You can find a detailed procedure to find GCD of 64, 378, 157, 753 on our page.
3. How to find GCD of 64, 378, 157, 753 on a calculator?
You can find the GCD of 64, 378, 157, 753 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.