Online GCD Calculator is useful to find the GCD of 654, 506, 438, 750 quickly. Get the easiest ways to solve the greatest common divisor of 654, 506, 438, 750 i.e 2 in different methods as follows.
Given Input numbers are 654, 506, 438, 750
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 506 :
The positive integer divisors of 506 that completely divides 506 are.
1, 2, 11, 22, 23, 46, 253, 506
Divisors of 438 :
The positive integer divisors of 438 that completely divides 438 are.
1, 2, 3, 6, 73, 146, 219, 438
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
GCD of numbers is the greatest common divisor
So, the GCD (654, 506, 438, 750) = 2.
Given numbers are 654, 506, 438, 750
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 506 are 2 x 11 x 23
Prime factors of 438 are 2 x 3 x 73
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 654, 506, 438, 750 is 2.
Given numbers are 654, 506, 438, 750
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 506) = 165462
GCD(654, 506) = ( 654 x 506 ) / 165462
= 654 / 506
= 654
Step2:
LCM(2, 438) = 438
GCD(2, 438) = ( 2 x 438 ) / 438
= 2 / 438
= 2
Step3:
LCM(2, 750) = 750
GCD(2, 750) = ( 2 x 750 ) / 750
= 2 / 750
= 2
So, Greatest Common Divisor of 654, 506, 438, 750 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 506, 438, 750
The greatest common divisor of numbers 654, 506, 438, 750 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 506, 438, 750 is 2.
1. What is the GCD of 654, 506, 438, 750?
GCD of given numbers 654, 506, 438, 750 is 2
2. How to calculate the greatest common divisor of 654, 506, 438, 750?
We can find the highest common divisor of 654, 506, 438, 750 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 654, 506, 438, 750 i.e 2.
3. How can I use the GCD of 654, 506, 438, 750Calculator?
Out the numbers 654, 506, 438, 750 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.