GCD of 105, 651, 945 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 105, 651, 945 quickly. Get the easiest ways to solve the greatest common divisor of 105, 651, 945 i.e 21 in different methods as follows.
Given Input numbers are 105, 651, 945
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 945 :
The positive integer divisors of 945 that completely divides 945 are.
1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945
GCD of numbers is the greatest common divisor
So, the GCD (105, 651, 945) = 21.
Given numbers are 105, 651, 945
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 651 are 3 x 7 x 31
Prime factors of 945 are 3 x 3 x 3 x 5 x 7
The highest common occurrence is 31 x 71
Therefore, GCD of 105, 651, 945 is 21.
Steps to Calculate GCD of 105, 651, 945 using LCM Formula
Given numbers are 105, 651, 945
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 651) = 3255
GCD(105, 651) = ( 105 x 651 ) / 3255
= 105 / 651
= 105
Step2:
LCM(21, 945) = 945
GCD(21, 945) = ( 21 x 945 ) / 945
= 21 / 945
= 21
So, Greatest Common Divisor of 105, 651, 945 is 21
GCD of Numbers Calculation Examples
Here are some samples of GCD of Numbers calculations.
Greatest Common Divisor of 105, 651, 945
Given numbers are 105, 651, 945
The greatest common divisor of numbers 105, 651, 945 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 651, 945 is 21.
FAQs on GCD of 105, 651, 945 Calculator
1. What is the GCD of 105, 651, 945?
GCD of given numbers 105, 651, 945 is 21
2. How to calculate the greatest common divisor of 105, 651, 945?
We can find the highest common divisor of 105, 651, 945 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 105, 651, 945 i.e 21.
3. How can I use the GCD of 105, 651, 945Calculator?
Out the numbers 105, 651, 945 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.