Online GCD Calculator is useful to find the GCD of 276, 492, 975 quickly. Get the easiest ways to solve the greatest common divisor of 276, 492, 975 i.e 3 in different methods as follows.
Given Input numbers are 276, 492, 975
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 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 975 :
The positive integer divisors of 975 that completely divides 975 are.
1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975
GCD of numbers is the greatest common divisor
So, the GCD (276, 492, 975) = 3.
Given numbers are 276, 492, 975
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 975 are 3 x 5 x 5 x 13
The highest common occurrence is 31
Therefore, GCD of 276, 492, 975 is 3.
Given numbers are 276, 492, 975
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 492) = 11316
GCD(276, 492) = ( 276 x 492 ) / 11316
= 276 / 492
= 276
Step2:
LCM(12, 975) = 3900
GCD(12, 975) = ( 12 x 975 ) / 3900
= 12 / 975
= 12
So, Greatest Common Divisor of 276, 492, 975 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 276, 492, 975
The greatest common divisor of numbers 276, 492, 975 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 492, 975 is 3.
1. What is the GCD of 276, 492, 975?
GCD of given numbers 276, 492, 975 is 3
2. How to calculate the greatest common divisor of 276, 492, 975?
We can find the highest common divisor of 276, 492, 975 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, 492, 975 i.e 3.
3. How can I use the GCD of 276, 492, 975Calculator?
Out the numbers 276, 492, 975 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.