Online GCD Calculator is useful to find the GCD of 750, 730, 942, 300 quickly. Get the easiest ways to solve the greatest common divisor of 750, 730, 942, 300 i.e 2 in different methods as follows.
Given Input numbers are 750, 730, 942, 300
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 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 942 :
The positive integer divisors of 942 that completely divides 942 are.
1, 2, 3, 6, 157, 314, 471, 942
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
GCD of numbers is the greatest common divisor
So, the GCD (750, 730, 942, 300) = 2.
Given numbers are 750, 730, 942, 300
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 730 are 2 x 5 x 73
Prime factors of 942 are 2 x 3 x 157
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 750, 730, 942, 300 is 2.
Given numbers are 750, 730, 942, 300
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(750, 730) = 54750
GCD(750, 730) = ( 750 x 730 ) / 54750
= 750 / 730
= 750
Step2:
LCM(10, 942) = 4710
GCD(10, 942) = ( 10 x 942 ) / 4710
= 10 / 942
= 10
Step3:
LCM(2, 300) = 300
GCD(2, 300) = ( 2 x 300 ) / 300
= 2 / 300
= 2
So, Greatest Common Divisor of 750, 730, 942, 300 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 750, 730, 942, 300
The greatest common divisor of numbers 750, 730, 942, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 750, 730, 942, 300 is 2.
1. What is the GCD of 750, 730, 942, 300?
GCD of given numbers 750, 730, 942, 300 is 2
2. How to calculate the greatest common divisor of 750, 730, 942, 300?
We can find the highest common divisor of 750, 730, 942, 300 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, 730, 942, 300 i.e 2.
3. How can I use the GCD of 750, 730, 942, 300Calculator?
Out the numbers 750, 730, 942, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.