Online GCD Calculator is useful to find the GCD of 618, 420, 744, 112 quickly. Get the easiest ways to solve the greatest common divisor of 618, 420, 744, 112 i.e 2 in different methods as follows.
Given Input numbers are 618, 420, 744, 112
In the factoring method, we have to find the divisors of all numbers
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 744 :
The positive integer divisors of 744 that completely divides 744 are.
1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744
Divisors of 112 :
The positive integer divisors of 112 that completely divides 112 are.
1, 2, 4, 7, 8, 14, 16, 28, 56, 112
GCD of numbers is the greatest common divisor
So, the GCD (618, 420, 744, 112) = 2.
Given numbers are 618, 420, 744, 112
The list of prime factors of all numbers are
Prime factors of 618 are 2 x 3 x 103
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 744 are 2 x 2 x 2 x 3 x 31
Prime factors of 112 are 2 x 2 x 2 x 2 x 7
The highest common occurrence is 21
Therefore, GCD of 618, 420, 744, 112 is 2.
Given numbers are 618, 420, 744, 112
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(618, 420) = 43260
GCD(618, 420) = ( 618 x 420 ) / 43260
= 618 / 420
= 618
Step2:
LCM(6, 744) = 744
GCD(6, 744) = ( 6 x 744 ) / 744
= 6 / 744
= 6
Step3:
LCM(6, 112) = 336
GCD(6, 112) = ( 6 x 112 ) / 336
= 6 / 112
= 6
So, Greatest Common Divisor of 618, 420, 744, 112 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 618, 420, 744, 112
The greatest common divisor of numbers 618, 420, 744, 112 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 618, 420, 744, 112 is 2.
1. What is the GCD of 618, 420, 744, 112?
GCD of given numbers 618, 420, 744, 112 is 2
2. How to calculate the greatest common divisor of 618, 420, 744, 112?
We can find the highest common divisor of 618, 420, 744, 112 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 618, 420, 744, 112 i.e 2.
3. How can I use the GCD of 618, 420, 744, 112Calculator?
Out the numbers 618, 420, 744, 112 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.