Online GCD Calculator is useful to find the GCD of 150, 544, 908, 746 quickly. Get the easiest ways to solve the greatest common divisor of 150, 544, 908, 746 i.e 2 in different methods as follows.
Given Input numbers are 150, 544, 908, 746
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 544 :
The positive integer divisors of 544 that completely divides 544 are.
1, 2, 4, 8, 16, 17, 32, 34, 68, 136, 272, 544
Divisors of 908 :
The positive integer divisors of 908 that completely divides 908 are.
1, 2, 4, 227, 454, 908
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (150, 544, 908, 746) = 2.
Given numbers are 150, 544, 908, 746
The list of prime factors of all numbers are
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 544 are 2 x 2 x 2 x 2 x 2 x 17
Prime factors of 908 are 2 x 2 x 227
Prime factors of 746 are 2 x 373
The highest common occurrence is 21
Therefore, GCD of 150, 544, 908, 746 is 2.
Given numbers are 150, 544, 908, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(150, 544) = 40800
GCD(150, 544) = ( 150 x 544 ) / 40800
= 150 / 544
= 150
Step2:
LCM(2, 908) = 908
GCD(2, 908) = ( 2 x 908 ) / 908
= 2 / 908
= 2
Step3:
LCM(2, 746) = 746
GCD(2, 746) = ( 2 x 746 ) / 746
= 2 / 746
= 2
So, Greatest Common Divisor of 150, 544, 908, 746 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 150, 544, 908, 746
The greatest common divisor of numbers 150, 544, 908, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 150, 544, 908, 746 is 2.
1. What is the GCD of 150, 544, 908, 746?
GCD of given numbers 150, 544, 908, 746 is 2
2. How to calculate the greatest common divisor of 150, 544, 908, 746?
We can find the highest common divisor of 150, 544, 908, 746 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 150, 544, 908, 746 i.e 2.
3. How can I use the GCD of 150, 544, 908, 746Calculator?
Out the numbers 150, 544, 908, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.