Online GCD Calculator is useful to find the GCD of 628, 500, 112, 107 quickly. Get the easiest ways to solve the greatest common divisor of 628, 500, 112, 107 i.e 1 in different methods as follows.
Given Input numbers are 628, 500, 112, 107
In the factoring method, we have to find the divisors of all numbers
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
Divisors of 500 :
The positive integer divisors of 500 that completely divides 500 are.
1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500
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 107 :
The positive integer divisors of 107 that completely divides 107 are.
1, 107
GCD of numbers is the greatest common divisor
So, the GCD (628, 500, 112, 107) = 1.
Given numbers are 628, 500, 112, 107
The list of prime factors of all numbers are
Prime factors of 628 are 2 x 2 x 157
Prime factors of 500 are 2 x 2 x 5 x 5 x 5
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
Prime factors of 107 are 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 628, 500, 112, 107
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(628, 500) = 78500
GCD(628, 500) = ( 628 x 500 ) / 78500
= 628 / 500
= 628
Step2:
LCM(4, 112) = 112
GCD(4, 112) = ( 4 x 112 ) / 112
= 4 / 112
= 4
Step3:
LCM(4, 107) = 428
GCD(4, 107) = ( 4 x 107 ) / 428
= 4 / 107
= 4
So, Greatest Common Divisor of 628, 500, 112, 107 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 628, 500, 112, 107
The greatest common divisor of numbers 628, 500, 112, 107 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 628, 500, 112, 107 is 1.
1. What is the GCD of 628, 500, 112, 107?
GCD of given numbers 628, 500, 112, 107 is 1
2. How to calculate the greatest common divisor of 628, 500, 112, 107?
We can find the highest common divisor of 628, 500, 112, 107 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 628, 500, 112, 107 i.e 1.
3. How can I use the GCD of 628, 500, 112, 107Calculator?
Out the numbers 628, 500, 112, 107 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.