Online GCD Calculator is useful to find the GCD of 750, 385, 112, 213 quickly. Get the easiest ways to solve the greatest common divisor of 750, 385, 112, 213 i.e 1 in different methods as follows.
Given Input numbers are 750, 385, 112, 213
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 385 :
The positive integer divisors of 385 that completely divides 385 are.
1, 5, 7, 11, 35, 55, 77, 385
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
Divisors of 213 :
The positive integer divisors of 213 that completely divides 213 are.
1, 3, 71, 213
GCD of numbers is the greatest common divisor
So, the GCD (750, 385, 112, 213) = 1.
Given numbers are 750, 385, 112, 213
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 385 are 5 x 7 x 11
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 213 are 3 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 750, 385, 112, 213
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 385) = 57750
GCD(750, 385) = ( 750 x 385 ) / 57750
= 750 / 385
= 750
Step2:
LCM(5, 112) = 560
GCD(5, 112) = ( 5 x 112 ) / 560
= 5 / 112
= 5
Step3:
LCM(1, 213) = 213
GCD(1, 213) = ( 1 x 213 ) / 213
= 1 / 213
= 1
So, Greatest Common Divisor of 750, 385, 112, 213 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 385, 112, 213
The greatest common divisor of numbers 750, 385, 112, 213 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 385, 112, 213 is 1.
1. What is the GCD of 750, 385, 112, 213?
GCD of given numbers 750, 385, 112, 213 is 1
2. How to calculate the greatest common divisor of 750, 385, 112, 213?
We can find the highest common divisor of 750, 385, 112, 213 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, 385, 112, 213 i.e 1.
3. How can I use the GCD of 750, 385, 112, 213Calculator?
Out the numbers 750, 385, 112, 213 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.