GCD of 852, 313, 51 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 852, 313, 51 quickly. Get the easiest ways to solve the greatest common divisor of 852, 313, 51 i.e 1 in different methods as follows.
Given Input numbers are 852, 313, 51
In the factoring method, we have to find the divisors of all numbers
Divisors of 852 :
The positive integer divisors of 852 that completely divides 852 are.
1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852
Divisors of 313 :
The positive integer divisors of 313 that completely divides 313 are.
1, 313
Divisors of 51 :
The positive integer divisors of 51 that completely divides 51 are.
1, 3, 17, 51
GCD of numbers is the greatest common divisor
So, the GCD (852, 313, 51) = 1.
Given numbers are 852, 313, 51
The list of prime factors of all numbers are
Prime factors of 852 are 2 x 2 x 3 x 71
Prime factors of 313 are 313
Prime factors of 51 are 3 x 17
The above numbers do not have any common prime factor. So GCD is 1
Steps to Calculate GCD of 852, 313, 51 using LCM Formula
Given numbers are 852, 313, 51
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(852, 313) = 266676
GCD(852, 313) = ( 852 x 313 ) / 266676
= 852 / 313
= 852
Step2:
LCM(1, 51) = 51
GCD(1, 51) = ( 1 x 51 ) / 51
= 1 / 51
= 1
So, Greatest Common Divisor of 852, 313, 51 is 1
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 852, 313, 51
Given numbers are 852, 313, 51
The greatest common divisor of numbers 852, 313, 51 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 313, 51 is 1.
FAQs on GCD of 852, 313, 51 Calculator
1. What is the GCD of 852, 313, 51?
GCD of given numbers 852, 313, 51 is 1
2. How to calculate the greatest common divisor of 852, 313, 51?
We can find the highest common divisor of 852, 313, 51 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 852, 313, 51 i.e 1.
3. How can I use the GCD of 852, 313, 51Calculator?
Out the numbers 852, 313, 51 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.