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 48, 762, 942, 883 i.e. 1 largest integer that divides all the numbers equally.
GCD of 48, 762, 942, 883 is 1
GCD(48, 762, 942, 883) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 48, 762, 942, 883 is 1
GCD(48, 762, 942, 883) = 1
Given Input numbers are 48, 762, 942, 883
To find the GCD of numbers using factoring list out all the divisors of each number
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 762
List of positive integer divisors of 762 that divides 762 without a remainder.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 942
List of positive integer divisors of 942 that divides 942 without a remainder.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 883
List of positive integer divisors of 883 that divides 883 without a remainder.
1, 883
Greatest Common Divisior
We found the divisors of 48, 762, 942, 883 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 48, 762, 942, 883 is 1.
Therefore, GCD of numbers 48, 762, 942, 883 is 1
Given Input Data is 48, 762, 942, 883
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 48 is 2 x 2 x 2 x 2 x 3
Prime Factorization of 762 is 2 x 3 x 127
Prime Factorization of 942 is 2 x 3 x 157
Prime Factorization of 883 is 883
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(48, 762) = 6096
GCD(48, 762) = ( 48 x 762 ) / 6096
GCD(48, 762) = 36576 / 6096
GCD(48, 762) = 6
Step2:
Here we consider the GCD from the above i.e. 6 as first number and the next as 942
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 942) = 942
GCD(6, 942) = ( 6 x 942 ) / 942
GCD(6, 942) = 5652 / 942
GCD(6, 942) = 6
Step3:
Here we consider the GCD from the above i.e. 6 as first number and the next as 883
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(6, 883) = 5298
GCD(6, 883) = ( 6 x 883 ) / 5298
GCD(6, 883) = 5298 / 5298
GCD(6, 883) = 1
GCD of 48, 762, 942, 883 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 48, 762, 942, 883?
GCD of 48, 762, 942, 883 is 1
2. Where do I get the detailed procedure to find GCD of 48, 762, 942, 883?
You can find a detailed procedure to find GCD of 48, 762, 942, 883 on our page.
3. How to find GCD of 48, 762, 942, 883 on a calculator?
You can find the GCD of 48, 762, 942, 883 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.