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 46, 781, 951, 100 i.e. 1 largest integer that divides all the numbers equally.
GCD of 46, 781, 951, 100 is 1
GCD(46, 781, 951, 100) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 46, 781, 951, 100 is 1
GCD(46, 781, 951, 100) = 1
Given Input numbers are 46, 781, 951, 100
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 46
List of positive integer divisors of 46 that divides 46 without a remainder.
1, 2, 23, 46
Divisors of 781
List of positive integer divisors of 781 that divides 781 without a remainder.
1, 11, 71, 781
Divisors of 951
List of positive integer divisors of 951 that divides 951 without a remainder.
1, 3, 317, 951
Divisors of 100
List of positive integer divisors of 100 that divides 100 without a remainder.
1, 2, 4, 5, 10, 20, 25, 50, 100
Greatest Common Divisior
We found the divisors of 46, 781, 951, 100 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 46, 781, 951, 100 is 1.
Therefore, GCD of numbers 46, 781, 951, 100 is 1
Given Input Data is 46, 781, 951, 100
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 46 is 2 x 23
Prime Factorization of 781 is 11 x 71
Prime Factorization of 951 is 3 x 317
Prime Factorization of 100 is 2 x 2 x 5 x 5
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(46, 781) = 35926
GCD(46, 781) = ( 46 x 781 ) / 35926
GCD(46, 781) = 35926 / 35926
GCD(46, 781) = 1
Step2:
Here we consider the GCD from the above i.e. 1 as first number and the next as 951
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 951) = 951
GCD(1, 951) = ( 1 x 951 ) / 951
GCD(1, 951) = 951 / 951
GCD(1, 951) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 100
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
GCD(1, 100) = 100 / 100
GCD(1, 100) = 1
GCD of 46, 781, 951, 100 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 46, 781, 951, 100?
GCD of 46, 781, 951, 100 is 1
2. Where do I get the detailed procedure to find GCD of 46, 781, 951, 100?
You can find a detailed procedure to find GCD of 46, 781, 951, 100 on our page.
3. How to find GCD of 46, 781, 951, 100 on a calculator?
You can find the GCD of 46, 781, 951, 100 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.