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 914, 648, 807, 738 i.e. 1 largest integer that divides all the numbers equally.
GCD of 914, 648, 807, 738 is 1
GCD(914, 648, 807, 738) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 914, 648, 807, 738 is 1
GCD(914, 648, 807, 738) = 1
Given Input numbers are 914, 648, 807, 738
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 648
List of positive integer divisors of 648 that divides 648 without a remainder.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 738
List of positive integer divisors of 738 that divides 738 without a remainder.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
Greatest Common Divisior
We found the divisors of 914, 648, 807, 738 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 914, 648, 807, 738 is 1.
Therefore, GCD of numbers 914, 648, 807, 738 is 1
Given Input Data is 914, 648, 807, 738
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 914 is 2 x 457
Prime Factorization of 648 is 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime Factorization of 807 is 3 x 269
Prime Factorization of 738 is 2 x 3 x 3 x 41
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(914, 648) = 296136
GCD(914, 648) = ( 914 x 648 ) / 296136
GCD(914, 648) = 592272 / 296136
GCD(914, 648) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 807
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 807) = 1614
GCD(2, 807) = ( 2 x 807 ) / 1614
GCD(2, 807) = 1614 / 1614
GCD(2, 807) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 738
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 738) = 738
GCD(1, 738) = ( 1 x 738 ) / 738
GCD(1, 738) = 738 / 738
GCD(1, 738) = 1
GCD of 914, 648, 807, 738 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 914, 648, 807, 738?
GCD of 914, 648, 807, 738 is 1
2. Where do I get the detailed procedure to find GCD of 914, 648, 807, 738?
You can find a detailed procedure to find GCD of 914, 648, 807, 738 on our page.
3. How to find GCD of 914, 648, 807, 738 on a calculator?
You can find the GCD of 914, 648, 807, 738 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.