Online GCD Calculator is useful to find the GCD of 508, 564, 786, 150 quickly. Get the easiest ways to solve the greatest common divisor of 508, 564, 786, 150 i.e 2 in different methods as follows.
Given Input numbers are 508, 564, 786, 150
In the factoring method, we have to find the divisors of all numbers
Divisors of 508 :
The positive integer divisors of 508 that completely divides 508 are.
1, 2, 4, 127, 254, 508
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
Divisors of 786 :
The positive integer divisors of 786 that completely divides 786 are.
1, 2, 3, 6, 131, 262, 393, 786
Divisors of 150 :
The positive integer divisors of 150 that completely divides 150 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150
GCD of numbers is the greatest common divisor
So, the GCD (508, 564, 786, 150) = 2.
Given numbers are 508, 564, 786, 150
The list of prime factors of all numbers are
Prime factors of 508 are 2 x 2 x 127
Prime factors of 564 are 2 x 2 x 3 x 47
Prime factors of 786 are 2 x 3 x 131
Prime factors of 150 are 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 508, 564, 786, 150 is 2.
Given numbers are 508, 564, 786, 150
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(508, 564) = 71628
GCD(508, 564) = ( 508 x 564 ) / 71628
= 508 / 564
= 508
Step2:
LCM(4, 786) = 1572
GCD(4, 786) = ( 4 x 786 ) / 1572
= 4 / 786
= 4
Step3:
LCM(2, 150) = 150
GCD(2, 150) = ( 2 x 150 ) / 150
= 2 / 150
= 2
So, Greatest Common Divisor of 508, 564, 786, 150 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 508, 564, 786, 150
The greatest common divisor of numbers 508, 564, 786, 150 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 508, 564, 786, 150 is 2.
1. What is the GCD of 508, 564, 786, 150?
GCD of given numbers 508, 564, 786, 150 is 2
2. How to calculate the greatest common divisor of 508, 564, 786, 150?
We can find the highest common divisor of 508, 564, 786, 150 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 508, 564, 786, 150 i.e 2.
3. How can I use the GCD of 508, 564, 786, 150Calculator?
Out the numbers 508, 564, 786, 150 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.