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 807, 948, 976, 899 i.e. 1 largest integer that divides all the numbers equally.
GCD of 807, 948, 976, 899 is 1
GCD(807, 948, 976, 899) = 1
Ex: 10, 15, 20 (or) 24, 48, 96,45 (or) 78902, 89765, 12345
GCD of numbers 807, 948, 976, 899 is 1
GCD(807, 948, 976, 899) = 1
Given Input numbers are 807, 948, 976, 899
To find the GCD of numbers using factoring list out all the divisors of each number
Divisors of 807
List of positive integer divisors of 807 that divides 807 without a remainder.
1, 3, 269, 807
Divisors of 948
List of positive integer divisors of 948 that divides 948 without a remainder.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 976
List of positive integer divisors of 976 that divides 976 without a remainder.
1, 2, 4, 8, 16, 61, 122, 244, 488, 976
Divisors of 899
List of positive integer divisors of 899 that divides 899 without a remainder.
1, 29, 31, 899
Greatest Common Divisior
We found the divisors of 807, 948, 976, 899 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 807, 948, 976, 899 is 1.
Therefore, GCD of numbers 807, 948, 976, 899 is 1
Given Input Data is 807, 948, 976, 899
Make a list of Prime Factors of all the given numbers initially
Prime Factorization of 807 is 3 x 269
Prime Factorization of 948 is 2 x 2 x 3 x 79
Prime Factorization of 976 is 2 x 2 x 2 x 2 x 61
Prime Factorization of 899 is 29 x 31
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(807, 948) = 255012
GCD(807, 948) = ( 807 x 948 ) / 255012
GCD(807, 948) = 765036 / 255012
GCD(807, 948) = 3
Step2:
Here we consider the GCD from the above i.e. 3 as first number and the next as 976
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(3, 976) = 2928
GCD(3, 976) = ( 3 x 976 ) / 2928
GCD(3, 976) = 2928 / 2928
GCD(3, 976) = 1
Step3:
Here we consider the GCD from the above i.e. 1 as first number and the next as 899
The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)
LCM(1, 899) = 899
GCD(1, 899) = ( 1 x 899 ) / 899
GCD(1, 899) = 899 / 899
GCD(1, 899) = 1
GCD of 807, 948, 976, 899 is 1
Here are some samples of GCD of Numbers calculations.
1. What is the GCD of 807, 948, 976, 899?
GCD of 807, 948, 976, 899 is 1
2. Where do I get the detailed procedure to find GCD of 807, 948, 976, 899?
You can find a detailed procedure to find GCD of 807, 948, 976, 899 on our page.
3. How to find GCD of 807, 948, 976, 899 on a calculator?
You can find the GCD of 807, 948, 976, 899 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.