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 45, 847, 736, 958 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 847, 736, 958 is 1
GCD(45, 847, 736, 958) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 847, 736, 958 is 1
GCD(45, 847, 736, 958) = 1
Given Input numbers are 45, 847, 736, 958
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 45
List of positive integer divisors of 45 that divides 45 without a remainder.
1, 3, 5, 9, 15, 45
Divisors of 847
List of positive integer divisors of 847 that divides 847 without a remainder.
1, 7, 11, 77, 121, 847
Divisors of 736
List of positive integer divisors of 736 that divides 736 without a remainder.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 958
List of positive integer divisors of 958 that divides 958 without a remainder.
1, 2, 479, 958
Greatest Common Divisior
We found the divisors of 45, 847, 736, 958 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 847, 736, 958 is 1.
Therefore, GCD of numbers 45, 847, 736, 958 is 1
Given Input Data is 45, 847, 736, 958
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 45 is 3 x 3 x 5
Prime Factorization of 847 is 7 x 11 x 11
Prime Factorization of 736 is 2 x 2 x 2 x 2 x 2 x 23
Prime Factorization of 958 is 2 x 479
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(45, 847) = 38115
GCD(45, 847) = ( 45 x 847 ) / 38115
GCD(45, 847) = 38115 / 38115
GCD(45, 847) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 736
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 736) = 736
GCD(1, 736) = ( 1 x 736 ) / 736
GCD(1, 736) = 736 / 736
GCD(1, 736) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 958
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 958) = 958
GCD(1, 958) = ( 1 x 958 ) / 958
GCD(1, 958) = 958 / 958
GCD(1, 958) = 1
GCD of 45, 847, 736, 958 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 847, 736, 958?
GCD of 45, 847, 736, 958 is 1
2. Where do I get the detailed procedure to find GCD of 45, 847, 736, 958?
You can find a detailed procedure to find GCD of 45, 847, 736, 958 on our page.
3. How to find GCD of 45, 847, 736, 958 on a calculator?
You can find the GCD of 45, 847, 736, 958 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.