Online GCD Calculator is useful to find the GCD of 738, 640, 252, 160 quickly. Get the easiest ways to solve the greatest common divisor of 738, 640, 252, 160 i.e 2 in different methods as follows.
Given Input numbers are 738, 640, 252, 160
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 640 :
The positive integer divisors of 640 that completely divides 640 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 128, 160, 320, 640
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
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
GCD of numbers is the greatest common divisor
So, the GCD (738, 640, 252, 160) = 2.
Given numbers are 738, 640, 252, 160
The list of prime factors of all numbers are
Prime factors of 738 are 2 x 3 x 3 x 41
Prime factors of 640 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5
The highest common occurrence is 21
Therefore, GCD of 738, 640, 252, 160 is 2.
Given numbers are 738, 640, 252, 160
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(738, 640) = 236160
GCD(738, 640) = ( 738 x 640 ) / 236160
= 738 / 640
= 738
Step2:
LCM(2, 252) = 252
GCD(2, 252) = ( 2 x 252 ) / 252
= 2 / 252
= 2
Step3:
LCM(2, 160) = 160
GCD(2, 160) = ( 2 x 160 ) / 160
= 2 / 160
= 2
So, Greatest Common Divisor of 738, 640, 252, 160 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 738, 640, 252, 160
The greatest common divisor of numbers 738, 640, 252, 160 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 738, 640, 252, 160 is 2.
1. What is the GCD of 738, 640, 252, 160?
GCD of given numbers 738, 640, 252, 160 is 2
2. How to calculate the greatest common divisor of 738, 640, 252, 160?
We can find the highest common divisor of 738, 640, 252, 160 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, 640, 252, 160 i.e 2.
3. How can I use the GCD of 738, 640, 252, 160Calculator?
Out the numbers 738, 640, 252, 160 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.