Online GCD Calculator is useful to find the GCD of 748, 160, 150, 618 quickly. Get the easiest ways to solve the greatest common divisor of 748, 160, 150, 618 i.e 2 in different methods as follows.
Given Input numbers are 748, 160, 150, 618
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 160 :
The positive integer divisors of 160 that completely divides 160 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160
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 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
GCD of numbers is the greatest common divisor
So, the GCD (748, 160, 150, 618) = 2.
Given numbers are 748, 160, 150, 618
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 150 are 2 x 3 x 5 x 5
Prime factors of 618 are 2 x 3 x 103
The highest common occurrence is 21
Therefore, GCD of 748, 160, 150, 618 is 2.
Given numbers are 748, 160, 150, 618
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 160) = 29920
GCD(748, 160) = ( 748 x 160 ) / 29920
= 748 / 160
= 748
Step2:
LCM(4, 150) = 300
GCD(4, 150) = ( 4 x 150 ) / 300
= 4 / 150
= 4
Step3:
LCM(2, 618) = 618
GCD(2, 618) = ( 2 x 618 ) / 618
= 2 / 618
= 2
So, Greatest Common Divisor of 748, 160, 150, 618 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 160, 150, 618
The greatest common divisor of numbers 748, 160, 150, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 160, 150, 618 is 2.
1. What is the GCD of 748, 160, 150, 618?
GCD of given numbers 748, 160, 150, 618 is 2
2. How to calculate the greatest common divisor of 748, 160, 150, 618?
We can find the highest common divisor of 748, 160, 150, 618 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 748, 160, 150, 618 i.e 2.
3. How can I use the GCD of 748, 160, 150, 618Calculator?
Out the numbers 748, 160, 150, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.