Online GCD Calculator is useful to find the GCD of 254, 750, 708, 336 quickly. Get the easiest ways to solve the greatest common divisor of 254, 750, 708, 336 i.e 2 in different methods as follows.
Given Input numbers are 254, 750, 708, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 254 :
The positive integer divisors of 254 that completely divides 254 are.
1, 2, 127, 254
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
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
GCD of numbers is the greatest common divisor
So, the GCD (254, 750, 708, 336) = 2.
Given numbers are 254, 750, 708, 336
The list of prime factors of all numbers are
Prime factors of 254 are 2 x 127
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 254, 750, 708, 336 is 2.
Given numbers are 254, 750, 708, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(254, 750) = 95250
GCD(254, 750) = ( 254 x 750 ) / 95250
= 254 / 750
= 254
Step2:
LCM(2, 708) = 708
GCD(2, 708) = ( 2 x 708 ) / 708
= 2 / 708
= 2
Step3:
LCM(2, 336) = 336
GCD(2, 336) = ( 2 x 336 ) / 336
= 2 / 336
= 2
So, Greatest Common Divisor of 254, 750, 708, 336 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 254, 750, 708, 336
The greatest common divisor of numbers 254, 750, 708, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 254, 750, 708, 336 is 2.
1. What is the GCD of 254, 750, 708, 336?
GCD of given numbers 254, 750, 708, 336 is 2
2. How to calculate the greatest common divisor of 254, 750, 708, 336?
We can find the highest common divisor of 254, 750, 708, 336 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 254, 750, 708, 336 i.e 2.
3. How can I use the GCD of 254, 750, 708, 336Calculator?
Out the numbers 254, 750, 708, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.