Online GCD Calculator is useful to find the GCD of 276, 948, 108, 854 quickly. Get the easiest ways to solve the greatest common divisor of 276, 948, 108, 854 i.e 2 in different methods as follows.
Given Input numbers are 276, 948, 108, 854
In the factoring method, we have to find the divisors of all numbers
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 948 :
The positive integer divisors of 948 that completely divides 948 are.
1, 2, 3, 4, 6, 12, 79, 158, 237, 316, 474, 948
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 854 :
The positive integer divisors of 854 that completely divides 854 are.
1, 2, 7, 14, 61, 122, 427, 854
GCD of numbers is the greatest common divisor
So, the GCD (276, 948, 108, 854) = 2.
Given numbers are 276, 948, 108, 854
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 948 are 2 x 2 x 3 x 79
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 854 are 2 x 7 x 61
The highest common occurrence is 21
Therefore, GCD of 276, 948, 108, 854 is 2.
Given numbers are 276, 948, 108, 854
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 948) = 21804
GCD(276, 948) = ( 276 x 948 ) / 21804
= 276 / 948
= 276
Step2:
LCM(12, 108) = 108
GCD(12, 108) = ( 12 x 108 ) / 108
= 12 / 108
= 12
Step3:
LCM(12, 854) = 5124
GCD(12, 854) = ( 12 x 854 ) / 5124
= 12 / 854
= 12
So, Greatest Common Divisor of 276, 948, 108, 854 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 276, 948, 108, 854
The greatest common divisor of numbers 276, 948, 108, 854 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 948, 108, 854 is 2.
1. What is the GCD of 276, 948, 108, 854?
GCD of given numbers 276, 948, 108, 854 is 2
2. How to calculate the greatest common divisor of 276, 948, 108, 854?
We can find the highest common divisor of 276, 948, 108, 854 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 276, 948, 108, 854 i.e 2.
3. How can I use the GCD of 276, 948, 108, 854Calculator?
Out the numbers 276, 948, 108, 854 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.