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 770, 913, 447, 645 i.e. 1 largest integer that divides all the numbers equally.
GCD of 770, 913, 447, 645 is 1
GCD(770, 913, 447, 645) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 770, 913, 447, 645 is 1
GCD(770, 913, 447, 645) = 1
Given Input numbers are 770, 913, 447, 645
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 770
List of positive integer divisors of 770 that divides 770 without a remainder.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
Divisors of 913
List of positive integer divisors of 913 that divides 913 without a remainder.
1, 11, 83, 913
Divisors of 447
List of positive integer divisors of 447 that divides 447 without a remainder.
1, 3, 149, 447
Divisors of 645
List of positive integer divisors of 645 that divides 645 without a remainder.
1, 3, 5, 15, 43, 129, 215, 645
Greatest Common Divisior
We found the divisors of 770, 913, 447, 645 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 770, 913, 447, 645 is 1.
Therefore, GCD of numbers 770, 913, 447, 645 is 1
Given Input Data is 770, 913, 447, 645
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 770 is 2 x 5 x 7 x 11
Prime Factorization of 913 is 11 x 83
Prime Factorization of 447 is 3 x 149
Prime Factorization of 645 is 3 x 5 x 43
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(770, 913) = 63910
GCD(770, 913) = ( 770 x 913 ) / 63910
GCD(770, 913) = 703010 / 63910
GCD(770, 913) = 11
Step2:
Here we consider the GCD from the above i.e. 11 as first number and the next as 447
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(11, 447) = 4917
GCD(11, 447) = ( 11 x 447 ) / 4917
GCD(11, 447) = 4917 / 4917
GCD(11, 447) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 645
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 645) = 645
GCD(1, 645) = ( 1 x 645 ) / 645
GCD(1, 645) = 645 / 645
GCD(1, 645) = 1
GCD of 770, 913, 447, 645 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 770, 913, 447, 645?
GCD of 770, 913, 447, 645 is 1
2. Where do I get the detailed procedure to find GCD of 770, 913, 447, 645?
You can find a detailed procedure to find GCD of 770, 913, 447, 645 on our page.
3. How to find GCD of 770, 913, 447, 645 on a calculator?
You can find the GCD of 770, 913, 447, 645 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.