Online GCD Calculator is useful to find the GCD of 912, 124, 750, 142 quickly. Get the easiest ways to solve the greatest common divisor of 912, 124, 750, 142 i.e 2 in different methods as follows.
Given Input numbers are 912, 124, 750, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 912 :
The positive integer divisors of 912 that completely divides 912 are.
1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 57, 76, 114, 152, 228, 304, 456, 912
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
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 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (912, 124, 750, 142) = 2.
Given numbers are 912, 124, 750, 142
The list of prime factors of all numbers are
Prime factors of 912 are 2 x 2 x 2 x 2 x 3 x 19
Prime factors of 124 are 2 x 2 x 31
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 912, 124, 750, 142 is 2.
Given numbers are 912, 124, 750, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(912, 124) = 28272
GCD(912, 124) = ( 912 x 124 ) / 28272
= 912 / 124
= 912
Step2:
LCM(4, 750) = 1500
GCD(4, 750) = ( 4 x 750 ) / 1500
= 4 / 750
= 4
Step3:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 912, 124, 750, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 912, 124, 750, 142
The greatest common divisor of numbers 912, 124, 750, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 912, 124, 750, 142 is 2.
1. What is the GCD of 912, 124, 750, 142?
GCD of given numbers 912, 124, 750, 142 is 2
2. How to calculate the greatest common divisor of 912, 124, 750, 142?
We can find the highest common divisor of 912, 124, 750, 142 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 912, 124, 750, 142 i.e 2.
3. How can I use the GCD of 912, 124, 750, 142Calculator?
Out the numbers 912, 124, 750, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.