GCD of 396, 649, 770 Calculator
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Online GCD Calculator is useful to find the GCD of 396, 649, 770 quickly. Get the easiest ways to solve the greatest common divisor of 396, 649, 770 i.e 11 in different methods as follows.
Given Input numbers are 396, 649, 770
In the factoring method, we have to find the divisors of all numbers
Divisors of 396 :
The positive integer divisors of 396 that completely divides 396 are.
1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396
Divisors of 649 :
The positive integer divisors of 649 that completely divides 649 are.
1, 11, 59, 649
Divisors of 770 :
The positive integer divisors of 770 that completely divides 770 are.
1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
GCD of numbers is the greatest common divisor
So, the GCD (396, 649, 770) = 11.
Given numbers are 396, 649, 770
The list of prime factors of all numbers are
Prime factors of 396 are 2 x 2 x 3 x 3 x 11
Prime factors of 649 are 11 x 59
Prime factors of 770 are 2 x 5 x 7 x 11
The highest common occurrence is 111
Therefore, GCD of 396, 649, 770 is 11.
Steps to Calculate GCD of 396, 649, 770 using LCM Formula
Given numbers are 396, 649, 770
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(396, 649) = 23364
GCD(396, 649) = ( 396 x 649 ) / 23364
= 396 / 649
= 396
Step2:
LCM(11, 770) = 770
GCD(11, 770) = ( 11 x 770 ) / 770
= 11 / 770
= 11
So, Greatest Common Divisor of 396, 649, 770 is 11
GCD of Numbers Calculation Examples
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Greatest Common Divisor of 396, 649, 770
Given numbers are 396, 649, 770
The greatest common divisor of numbers 396, 649, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 396, 649, 770 is 11.
FAQs on GCD of 396, 649, 770 Calculator
1. What is the GCD of 396, 649, 770?
GCD of given numbers 396, 649, 770 is 11
2. How to calculate the greatest common divisor of 396, 649, 770?
We can find the highest common divisor of 396, 649, 770 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 396, 649, 770 i.e 11.
3. How can I use the GCD of 396, 649, 770Calculator?
Out the numbers 396, 649, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.