Online GCD Calculator is useful to find the GCD of 738, 150, 172, 762 quickly. Get the easiest ways to solve the greatest common divisor of 738, 150, 172, 762 i.e 2 in different methods as follows.
Given Input numbers are 738, 150, 172, 762
In the factoring method, we have to find the divisors of all numbers
Divisors of 738 :
The positive integer divisors of 738 that completely divides 738 are.
1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738
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 172 :
The positive integer divisors of 172 that completely divides 172 are.
1, 2, 4, 43, 86, 172
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
GCD of numbers is the greatest common divisor
So, the GCD (738, 150, 172, 762) = 2.
Given numbers are 738, 150, 172, 762
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 172 are 2 x 2 x 43
Prime factors of 762 are 2 x 3 x 127
The highest common occurrence is 21
Therefore, GCD of 738, 150, 172, 762 is 2.
Given numbers are 738, 150, 172, 762
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 150) = 18450
GCD(738, 150) = ( 738 x 150 ) / 18450
= 738 / 150
= 738
Step2:
LCM(6, 172) = 516
GCD(6, 172) = ( 6 x 172 ) / 516
= 6 / 172
= 6
Step3:
LCM(2, 762) = 762
GCD(2, 762) = ( 2 x 762 ) / 762
= 2 / 762
= 2
So, Greatest Common Divisor of 738, 150, 172, 762 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 150, 172, 762
The greatest common divisor of numbers 738, 150, 172, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 150, 172, 762 is 2.
1. What is the GCD of 738, 150, 172, 762?
GCD of given numbers 738, 150, 172, 762 is 2
2. How to calculate the greatest common divisor of 738, 150, 172, 762?
We can find the highest common divisor of 738, 150, 172, 762 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 738, 150, 172, 762 i.e 2.
3. How can I use the GCD of 738, 150, 172, 762Calculator?
Out the numbers 738, 150, 172, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.