Online GCD Calculator is useful to find the GCD of 910, 370, 428, 600 quickly. Get the easiest ways to solve the greatest common divisor of 910, 370, 428, 600 i.e 2 in different methods as follows.
Given Input numbers are 910, 370, 428, 600
In the factoring method, we have to find the divisors of all numbers
Divisors of 910 :
The positive integer divisors of 910 that completely divides 910 are.
1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910
Divisors of 370 :
The positive integer divisors of 370 that completely divides 370 are.
1, 2, 5, 10, 37, 74, 185, 370
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (910, 370, 428, 600) = 2.
Given numbers are 910, 370, 428, 600
The list of prime factors of all numbers are
Prime factors of 910 are 2 x 5 x 7 x 13
Prime factors of 370 are 2 x 5 x 37
Prime factors of 428 are 2 x 2 x 107
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 910, 370, 428, 600 is 2.
Given numbers are 910, 370, 428, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(910, 370) = 33670
GCD(910, 370) = ( 910 x 370 ) / 33670
= 910 / 370
= 910
Step2:
LCM(10, 428) = 2140
GCD(10, 428) = ( 10 x 428 ) / 2140
= 10 / 428
= 10
Step3:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
So, Greatest Common Divisor of 910, 370, 428, 600 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 910, 370, 428, 600
The greatest common divisor of numbers 910, 370, 428, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 910, 370, 428, 600 is 2.
1. What is the GCD of 910, 370, 428, 600?
GCD of given numbers 910, 370, 428, 600 is 2
2. How to calculate the greatest common divisor of 910, 370, 428, 600?
We can find the highest common divisor of 910, 370, 428, 600 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 910, 370, 428, 600 i.e 2.
3. How can I use the GCD of 910, 370, 428, 600Calculator?
Out the numbers 910, 370, 428, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.