GCD of 957, 513, 90 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 957, 513, 90 quickly. Get the easiest ways to solve the greatest common divisor of 957, 513, 90 i.e 3 in different methods as follows.
Given Input numbers are 957, 513, 90
In the factoring method, we have to find the divisors of all numbers
Divisors of 957 :
The positive integer divisors of 957 that completely divides 957 are.
1, 3, 11, 29, 33, 87, 319, 957
Divisors of 513 :
The positive integer divisors of 513 that completely divides 513 are.
1, 3, 9, 19, 27, 57, 171, 513
Divisors of 90 :
The positive integer divisors of 90 that completely divides 90 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90
GCD of numbers is the greatest common divisor
So, the GCD (957, 513, 90) = 3.
Given numbers are 957, 513, 90
The list of prime factors of all numbers are
Prime factors of 957 are 3 x 11 x 29
Prime factors of 513 are 3 x 3 x 3 x 19
Prime factors of 90 are 2 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 957, 513, 90 is 3.
Steps to Calculate GCD of 957, 513, 90 using LCM Formula
Given numbers are 957, 513, 90
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(957, 513) = 163647
GCD(957, 513) = ( 957 x 513 ) / 163647
= 957 / 513
= 957
Step2:
LCM(3, 90) = 90
GCD(3, 90) = ( 3 x 90 ) / 90
= 3 / 90
= 3
So, Greatest Common Divisor of 957, 513, 90 is 3
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 957, 513, 90
Given numbers are 957, 513, 90
The greatest common divisor of numbers 957, 513, 90 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 957, 513, 90 is 3.
FAQs on GCD of 957, 513, 90 Calculator
1. What is the GCD of 957, 513, 90?
GCD of given numbers 957, 513, 90 is 3
2. How to calculate the greatest common divisor of 957, 513, 90?
We can find the highest common divisor of 957, 513, 90 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 957, 513, 90 i.e 3.
3. How can I use the GCD of 957, 513, 90Calculator?
Out the numbers 957, 513, 90 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.