Online GCD Calculator is useful to find the GCD of 750, 372, 320, 354 quickly. Get the easiest ways to solve the greatest common divisor of 750, 372, 320, 354 i.e 2 in different methods as follows.
Given Input numbers are 750, 372, 320, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 372 :
The positive integer divisors of 372 that completely divides 372 are.
1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (750, 372, 320, 354) = 2.
Given numbers are 750, 372, 320, 354
The list of prime factors of all numbers are
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 372 are 2 x 2 x 3 x 31
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 21
Therefore, GCD of 750, 372, 320, 354 is 2.
Given numbers are 750, 372, 320, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 372) = 46500
GCD(750, 372) = ( 750 x 372 ) / 46500
= 750 / 372
= 750
Step2:
LCM(6, 320) = 960
GCD(6, 320) = ( 6 x 320 ) / 960
= 6 / 320
= 6
Step3:
LCM(2, 354) = 354
GCD(2, 354) = ( 2 x 354 ) / 354
= 2 / 354
= 2
So, Greatest Common Divisor of 750, 372, 320, 354 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 372, 320, 354
The greatest common divisor of numbers 750, 372, 320, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 372, 320, 354 is 2.
1. What is the GCD of 750, 372, 320, 354?
GCD of given numbers 750, 372, 320, 354 is 2
2. How to calculate the greatest common divisor of 750, 372, 320, 354?
We can find the highest common divisor of 750, 372, 320, 354 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 750, 372, 320, 354 i.e 2.
3. How can I use the GCD of 750, 372, 320, 354Calculator?
Out the numbers 750, 372, 320, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.