Online GCD Calculator is useful to find the GCD of 536, 268, 276, 102 quickly. Get the easiest ways to solve the greatest common divisor of 536, 268, 276, 102 i.e 2 in different methods as follows.
Given Input numbers are 536, 268, 276, 102
In the factoring method, we have to find the divisors of all numbers
Divisors of 536 :
The positive integer divisors of 536 that completely divides 536 are.
1, 2, 4, 8, 67, 134, 268, 536
Divisors of 268 :
The positive integer divisors of 268 that completely divides 268 are.
1, 2, 4, 67, 134, 268
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
GCD of numbers is the greatest common divisor
So, the GCD (536, 268, 276, 102) = 2.
Given numbers are 536, 268, 276, 102
The list of prime factors of all numbers are
Prime factors of 536 are 2 x 2 x 2 x 67
Prime factors of 268 are 2 x 2 x 67
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 102 are 2 x 3 x 17
The highest common occurrence is 21
Therefore, GCD of 536, 268, 276, 102 is 2.
Given numbers are 536, 268, 276, 102
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(536, 268) = 536
GCD(536, 268) = ( 536 x 268 ) / 536
= 536 / 268
= 536
Step2:
LCM(268, 276) = 18492
GCD(268, 276) = ( 268 x 276 ) / 18492
= 268 / 276
= 268
Step3:
LCM(4, 102) = 204
GCD(4, 102) = ( 4 x 102 ) / 204
= 4 / 102
= 4
So, Greatest Common Divisor of 536, 268, 276, 102 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 536, 268, 276, 102
The greatest common divisor of numbers 536, 268, 276, 102 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 536, 268, 276, 102 is 2.
1. What is the GCD of 536, 268, 276, 102?
GCD of given numbers 536, 268, 276, 102 is 2
2. How to calculate the greatest common divisor of 536, 268, 276, 102?
We can find the highest common divisor of 536, 268, 276, 102 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 536, 268, 276, 102 i.e 2.
3. How can I use the GCD of 536, 268, 276, 102Calculator?
Out the numbers 536, 268, 276, 102 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.