Online GCD Calculator is useful to find the GCD of 370, 124, 758, 312 quickly. Get the easiest ways to solve the greatest common divisor of 370, 124, 758, 312 i.e 2 in different methods as follows.
Given Input numbers are 370, 124, 758, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 124 :
The positive integer divisors of 124 that completely divides 124 are.
1, 2, 4, 31, 62, 124
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (370, 124, 758, 312) = 2.
Given numbers are 370, 124, 758, 312
The list of prime factors of all numbers are
Prime factors of 370 are 2 x 5 x 37
Prime factors of 124 are 2 x 2 x 31
Prime factors of 758 are 2 x 379
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 370, 124, 758, 312 is 2.
Given numbers are 370, 124, 758, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(370, 124) = 22940
GCD(370, 124) = ( 370 x 124 ) / 22940
= 370 / 124
= 370
Step2:
LCM(2, 758) = 758
GCD(2, 758) = ( 2 x 758 ) / 758
= 2 / 758
= 2
Step3:
LCM(2, 312) = 312
GCD(2, 312) = ( 2 x 312 ) / 312
= 2 / 312
= 2
So, Greatest Common Divisor of 370, 124, 758, 312 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 370, 124, 758, 312
The greatest common divisor of numbers 370, 124, 758, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 124, 758, 312 is 2.
1. What is the GCD of 370, 124, 758, 312?
GCD of given numbers 370, 124, 758, 312 is 2
2. How to calculate the greatest common divisor of 370, 124, 758, 312?
We can find the highest common divisor of 370, 124, 758, 312 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 370, 124, 758, 312 i.e 2.
3. How can I use the GCD of 370, 124, 758, 312Calculator?
Out the numbers 370, 124, 758, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.