Online GCD Calculator is useful to find the GCD of 336, 300, 748, 634 quickly. Get the easiest ways to solve the greatest common divisor of 336, 300, 748, 634 i.e 2 in different methods as follows.
Given Input numbers are 336, 300, 748, 634
In the factoring method, we have to find the divisors of all numbers
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
Divisors of 300 :
The positive integer divisors of 300 that completely divides 300 are.
1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
GCD of numbers is the greatest common divisor
So, the GCD (336, 300, 748, 634) = 2.
Given numbers are 336, 300, 748, 634
The list of prime factors of all numbers are
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 300 are 2 x 2 x 3 x 5 x 5
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 634 are 2 x 317
The highest common occurrence is 21
Therefore, GCD of 336, 300, 748, 634 is 2.
Given numbers are 336, 300, 748, 634
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 300) = 8400
GCD(336, 300) = ( 336 x 300 ) / 8400
= 336 / 300
= 336
Step2:
LCM(12, 748) = 2244
GCD(12, 748) = ( 12 x 748 ) / 2244
= 12 / 748
= 12
Step3:
LCM(4, 634) = 1268
GCD(4, 634) = ( 4 x 634 ) / 1268
= 4 / 634
= 4
So, Greatest Common Divisor of 336, 300, 748, 634 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 300, 748, 634
The greatest common divisor of numbers 336, 300, 748, 634 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 300, 748, 634 is 2.
1. What is the GCD of 336, 300, 748, 634?
GCD of given numbers 336, 300, 748, 634 is 2
2. How to calculate the greatest common divisor of 336, 300, 748, 634?
We can find the highest common divisor of 336, 300, 748, 634 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 336, 300, 748, 634 i.e 2.
3. How can I use the GCD of 336, 300, 748, 634Calculator?
Out the numbers 336, 300, 748, 634 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.