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 402, 914, 48, 761 i.e. 1 largest integer that divides all the numbers equally.
GCD of 402, 914, 48, 761 is 1
GCD(402, 914, 48, 761) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 402, 914, 48, 761 is 1
GCD(402, 914, 48, 761) = 1
Given Input numbers are 402, 914, 48, 761
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 402
List of positive integer divisors of 402 that divides 402 without a remainder.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 914
List of positive integer divisors of 914 that divides 914 without a remainder.
1, 2, 457, 914
Divisors of 48
List of positive integer divisors of 48 that divides 48 without a remainder.
1, 2, 3, 4, 6, 8, 12, 16, 24, 48
Divisors of 761
List of positive integer divisors of 761 that divides 761 without a remainder.
1, 761
Greatest Common Divisior
We found the divisors of 402, 914, 48, 761 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 402, 914, 48, 761 is 1.
Therefore, GCD of numbers 402, 914, 48, 761 is 1
Given Input Data is 402, 914, 48, 761
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 402 is 2 x 3 x 67
Prime Factorization of 914 is 2 x 457
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 761 is 761
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(402, 914) = 183714
GCD(402, 914) = ( 402 x 914 ) / 183714
GCD(402, 914) = 367428 / 183714
GCD(402, 914) = 2
Step2:
Here we consider the GCD from the above i.e. 2 as first number and the next as 48
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 48) = 48
GCD(2, 48) = ( 2 x 48 ) / 48
GCD(2, 48) = 96 / 48
GCD(2, 48) = 2
Step3:
Here we consider the GCD from the above i.e. 2 as first number and the next as 761
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(2, 761) = 1522
GCD(2, 761) = ( 2 x 761 ) / 1522
GCD(2, 761) = 1522 / 1522
GCD(2, 761) = 1
GCD of 402, 914, 48, 761 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 402, 914, 48, 761?
GCD of 402, 914, 48, 761 is 1
2. Where do I get the detailed procedure to find GCD of 402, 914, 48, 761?
You can find a detailed procedure to find GCD of 402, 914, 48, 761 on our page.
3. How to find GCD of 402, 914, 48, 761 on a calculator?
You can find the GCD of 402, 914, 48, 761 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.