Online GCD Calculator is useful to find the GCD of 136, 216, 248, 672 quickly. Get the easiest ways to solve the greatest common divisor of 136, 216, 248, 672 i.e 8 in different methods as follows.
Given Input numbers are 136, 216, 248, 672
In the factoring method, we have to find the divisors of all numbers
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 216 :
The positive integer divisors of 216 that completely divides 216 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216
Divisors of 248 :
The positive integer divisors of 248 that completely divides 248 are.
1, 2, 4, 8, 31, 62, 124, 248
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (136, 216, 248, 672) = 8.
Given numbers are 136, 216, 248, 672
The list of prime factors of all numbers are
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 248 are 2 x 2 x 2 x 31
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 23
Therefore, GCD of 136, 216, 248, 672 is 8.
Given numbers are 136, 216, 248, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(136, 216) = 3672
GCD(136, 216) = ( 136 x 216 ) / 3672
= 136 / 216
= 136
Step2:
LCM(8, 248) = 248
GCD(8, 248) = ( 8 x 248 ) / 248
= 8 / 248
= 8
Step3:
LCM(8, 672) = 672
GCD(8, 672) = ( 8 x 672 ) / 672
= 8 / 672
= 8
So, Greatest Common Divisor of 136, 216, 248, 672 is 8
Here are some samples of GCD of Numbers calculations.
Given numbers are 136, 216, 248, 672
The greatest common divisor of numbers 136, 216, 248, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 136, 216, 248, 672 is 8.
1. What is the GCD of 136, 216, 248, 672?
GCD of given numbers 136, 216, 248, 672 is 8
2. How to calculate the greatest common divisor of 136, 216, 248, 672?
We can find the highest common divisor of 136, 216, 248, 672 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 136, 216, 248, 672 i.e 8.
3. How can I use the GCD of 136, 216, 248, 672Calculator?
Out the numbers 136, 216, 248, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.