Online GCD Calculator is useful to find the GCD of 770, 270, 486, 646 quickly. Get the easiest ways to solve the greatest common divisor of 770, 270, 486, 646 i.e 2 in different methods as follows.
Given Input numbers are 770, 270, 486, 646
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 270 :
The positive integer divisors of 270 that completely divides 270 are.
1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270
Divisors of 486 :
The positive integer divisors of 486 that completely divides 486 are.
1, 2, 3, 6, 9, 18, 27, 54, 81, 162, 243, 486
Divisors of 646 :
The positive integer divisors of 646 that completely divides 646 are.
1, 2, 17, 19, 34, 38, 323, 646
GCD of numbers is the greatest common divisor
So, the GCD (770, 270, 486, 646) = 2.
Given numbers are 770, 270, 486, 646
The list of prime factors of all numbers are
Prime factors of 770 are 2 x 5 x 7 x 11
Prime factors of 270 are 2 x 3 x 3 x 3 x 5
Prime factors of 486 are 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 646 are 2 x 17 x 19
The highest common occurrence is 21
Therefore, GCD of 770, 270, 486, 646 is 2.
Given numbers are 770, 270, 486, 646
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(770, 270) = 20790
GCD(770, 270) = ( 770 x 270 ) / 20790
= 770 / 270
= 770
Step2:
LCM(10, 486) = 2430
GCD(10, 486) = ( 10 x 486 ) / 2430
= 10 / 486
= 10
Step3:
LCM(2, 646) = 646
GCD(2, 646) = ( 2 x 646 ) / 646
= 2 / 646
= 2
So, Greatest Common Divisor of 770, 270, 486, 646 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 770, 270, 486, 646
The greatest common divisor of numbers 770, 270, 486, 646 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 770, 270, 486, 646 is 2.
1. What is the GCD of 770, 270, 486, 646?
GCD of given numbers 770, 270, 486, 646 is 2
2. How to calculate the greatest common divisor of 770, 270, 486, 646?
We can find the highest common divisor of 770, 270, 486, 646 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 770, 270, 486, 646 i.e 2.
3. How can I use the GCD of 770, 270, 486, 646Calculator?
Out the numbers 770, 270, 486, 646 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.