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, 946, 781, 137 i.e. 1 largest integer that divides all the numbers equally.
GCD of 45, 946, 781, 137 is 1
GCD(45, 946, 781, 137) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 45, 946, 781, 137 is 1
GCD(45, 946, 781, 137) = 1
Given Input numbers are 45, 946, 781, 137
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 946
List of positive integer divisors of 946 that divides 946 without a remainder.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Divisors of 137
List of positive integer divisors of 137 that divides 137 without a remainder.
1, 137
Greatest Common Divisior
We found the divisors of 45, 946, 781, 137 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 45, 946, 781, 137 is 1.
Therefore, GCD of numbers 45, 946, 781, 137 is 1
Given Input Data is 45, 946, 781, 137
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 946 is 2 x 11 x 43
Prime Factorization of 781 is 11 x 71
Prime Factorization of 137 is 137
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, 946) = 42570
GCD(45, 946) = ( 45 x 946 ) / 42570
GCD(45, 946) = 42570 / 42570
GCD(45, 946) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 781
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 781) = 781
GCD(1, 781) = ( 1 x 781 ) / 781
GCD(1, 781) = 781 / 781
GCD(1, 781) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 137
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
GCD(1, 137) = 137 / 137
GCD(1, 137) = 1
GCD of 45, 946, 781, 137 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 45, 946, 781, 137?
GCD of 45, 946, 781, 137 is 1
2. Where do I get the detailed procedure to find GCD of 45, 946, 781, 137?
You can find a detailed procedure to find GCD of 45, 946, 781, 137 on our page.
3. How to find GCD of 45, 946, 781, 137 on a calculator?
You can find the GCD of 45, 946, 781, 137 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.