Online GCD Calculator is useful to find the GCD of 766, 906, 630, 720 quickly. Get the easiest ways to solve the greatest common divisor of 766, 906, 630, 720 i.e 2 in different methods as follows.
Given Input numbers are 766, 906, 630, 720
In the factoring method, we have to find the divisors of all numbers
Divisors of 766 :
The positive integer divisors of 766 that completely divides 766 are.
1, 2, 383, 766
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
GCD of numbers is the greatest common divisor
So, the GCD (766, 906, 630, 720) = 2.
Given numbers are 766, 906, 630, 720
The list of prime factors of all numbers are
Prime factors of 766 are 2 x 383
Prime factors of 906 are 2 x 3 x 151
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 766, 906, 630, 720 is 2.
Given numbers are 766, 906, 630, 720
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(766, 906) = 346998
GCD(766, 906) = ( 766 x 906 ) / 346998
= 766 / 906
= 766
Step2:
LCM(2, 630) = 630
GCD(2, 630) = ( 2 x 630 ) / 630
= 2 / 630
= 2
Step3:
LCM(2, 720) = 720
GCD(2, 720) = ( 2 x 720 ) / 720
= 2 / 720
= 2
So, Greatest Common Divisor of 766, 906, 630, 720 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 766, 906, 630, 720
The greatest common divisor of numbers 766, 906, 630, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 766, 906, 630, 720 is 2.
1. What is the GCD of 766, 906, 630, 720?
GCD of given numbers 766, 906, 630, 720 is 2
2. How to calculate the greatest common divisor of 766, 906, 630, 720?
We can find the highest common divisor of 766, 906, 630, 720 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 766, 906, 630, 720 i.e 2.
3. How can I use the GCD of 766, 906, 630, 720Calculator?
Out the numbers 766, 906, 630, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.