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 745, 900, 77, 767 i.e. 1 largest integer that divides all the numbers equally.
GCD of 745, 900, 77, 767 is 1
GCD(745, 900, 77, 767) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 745, 900, 77, 767 is 1
GCD(745, 900, 77, 767) = 1
Given Input numbers are 745, 900, 77, 767
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 745
List of positive integer divisors of 745 that divides 745 without a remainder.
1, 5, 149, 745
Divisors of 900
List of positive integer divisors of 900 that divides 900 without a remainder.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
Divisors of 77
List of positive integer divisors of 77 that divides 77 without a remainder.
1, 7, 11, 77
Divisors of 767
List of positive integer divisors of 767 that divides 767 without a remainder.
1, 13, 59, 767
Greatest Common Divisior
We found the divisors of 745, 900, 77, 767 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 745, 900, 77, 767 is 1.
Therefore, GCD of numbers 745, 900, 77, 767 is 1
Given Input Data is 745, 900, 77, 767
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 745 is 5 x 149
Prime Factorization of 900 is 2 x 2 x 3 x 3 x 5 x 5
Prime Factorization of 77 is 7 x 11
Prime Factorization of 767 is 13 x 59
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(745, 900) = 134100
GCD(745, 900) = ( 745 x 900 ) / 134100
GCD(745, 900) = 670500 / 134100
GCD(745, 900) = 5
Step2:
Here we consider the GCD from the above i.e. 5 as first number and the next as 77
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(5, 77) = 385
GCD(5, 77) = ( 5 x 77 ) / 385
GCD(5, 77) = 385 / 385
GCD(5, 77) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 767
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 767) = 767
GCD(1, 767) = ( 1 x 767 ) / 767
GCD(1, 767) = 767 / 767
GCD(1, 767) = 1
GCD of 745, 900, 77, 767 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 745, 900, 77, 767?
GCD of 745, 900, 77, 767 is 1
2. Where do I get the detailed procedure to find GCD of 745, 900, 77, 767?
You can find a detailed procedure to find GCD of 745, 900, 77, 767 on our page.
3. How to find GCD of 745, 900, 77, 767 on a calculator?
You can find the GCD of 745, 900, 77, 767 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.