GCD of 759, 651, 21 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 759, 651, 21 quickly. Get the easiest ways to solve the greatest common divisor of 759, 651, 21 i.e 3 in different methods as follows.
Given Input numbers are 759, 651, 21
In the factoring method, we have to find the divisors of all numbers
Divisors of 759 :
The positive integer divisors of 759 that completely divides 759 are.
1, 3, 11, 23, 33, 69, 253, 759
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 21 :
The positive integer divisors of 21 that completely divides 21 are.
1, 3, 7, 21
GCD of numbers is the greatest common divisor
So, the GCD (759, 651, 21) = 3.
Given numbers are 759, 651, 21
The list of prime factors of all numbers are
Prime factors of 759 are 3 x 11 x 23
Prime factors of 651 are 3 x 7 x 31
Prime factors of 21 are 3 x 7
The highest common occurrence is 31
Therefore, GCD of 759, 651, 21 is 3.
Steps to Calculate GCD of 759, 651, 21 using LCM Formula
Given numbers are 759, 651, 21
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(759, 651) = 164703
GCD(759, 651) = ( 759 x 651 ) / 164703
= 759 / 651
= 759
Step2:
LCM(3, 21) = 21
GCD(3, 21) = ( 3 x 21 ) / 21
= 3 / 21
= 3
So, Greatest Common Divisor of 759, 651, 21 is 3
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 759, 651, 21
Given numbers are 759, 651, 21
The greatest common divisor of numbers 759, 651, 21 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 759, 651, 21 is 3.
FAQs on GCD of 759, 651, 21 Calculator
1. What is the GCD of 759, 651, 21?
GCD of given numbers 759, 651, 21 is 3
2. How to calculate the greatest common divisor of 759, 651, 21?
We can find the highest common divisor of 759, 651, 21 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 759, 651, 21 i.e 3.
3. How can I use the GCD of 759, 651, 21Calculator?
Out the numbers 759, 651, 21 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.