Online GCD Calculator is useful to find the GCD of 506, 736, 550, 670 quickly. Get the easiest ways to solve the greatest common divisor of 506, 736, 550, 670 i.e 2 in different methods as follows.
Given Input numbers are 506, 736, 550, 670
In the factoring method, we have to find the divisors of all numbers
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 736 :
The positive integer divisors of 736 that completely divides 736 are.
1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736
Divisors of 550 :
The positive integer divisors of 550 that completely divides 550 are.
1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
GCD of numbers is the greatest common divisor
So, the GCD (506, 736, 550, 670) = 2.
Given numbers are 506, 736, 550, 670
The list of prime factors of all numbers are
Prime factors of 506 are 2 x 11 x 23
Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23
Prime factors of 550 are 2 x 5 x 5 x 11
Prime factors of 670 are 2 x 5 x 67
The highest common occurrence is 21
Therefore, GCD of 506, 736, 550, 670 is 2.
Given numbers are 506, 736, 550, 670
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(506, 736) = 8096
GCD(506, 736) = ( 506 x 736 ) / 8096
= 506 / 736
= 506
Step2:
LCM(46, 550) = 12650
GCD(46, 550) = ( 46 x 550 ) / 12650
= 46 / 550
= 46
Step3:
LCM(2, 670) = 670
GCD(2, 670) = ( 2 x 670 ) / 670
= 2 / 670
= 2
So, Greatest Common Divisor of 506, 736, 550, 670 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 506, 736, 550, 670
The greatest common divisor of numbers 506, 736, 550, 670 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 506, 736, 550, 670 is 2.
1. What is the GCD of 506, 736, 550, 670?
GCD of given numbers 506, 736, 550, 670 is 2
2. How to calculate the greatest common divisor of 506, 736, 550, 670?
We can find the highest common divisor of 506, 736, 550, 670 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 506, 736, 550, 670 i.e 2.
3. How can I use the GCD of 506, 736, 550, 670Calculator?
Out the numbers 506, 736, 550, 670 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.