Online GCD Calculator is useful to find the GCD of 276, 612, 920 quickly. Get the easiest ways to solve the greatest common divisor of 276, 612, 920 i.e 4 in different methods as follows.
Given Input numbers are 276, 612, 920
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 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
GCD of numbers is the greatest common divisor
So, the GCD (276, 612, 920) = 4.
Given numbers are 276, 612, 920
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
The highest common occurrence is 22
Therefore, GCD of 276, 612, 920 is 4.
Given numbers are 276, 612, 920
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 612) = 14076
GCD(276, 612) = ( 276 x 612 ) / 14076
= 276 / 612
= 276
Step2:
LCM(12, 920) = 2760
GCD(12, 920) = ( 12 x 920 ) / 2760
= 12 / 920
= 12
So, Greatest Common Divisor of 276, 612, 920 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 276, 612, 920
The greatest common divisor of numbers 276, 612, 920 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 612, 920 is 4.
1. What is the GCD of 276, 612, 920?
GCD of given numbers 276, 612, 920 is 4
2. How to calculate the greatest common divisor of 276, 612, 920?
We can find the highest common divisor of 276, 612, 920 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, 612, 920 i.e 4.
3. How can I use the GCD of 276, 612, 920Calculator?
Out the numbers 276, 612, 920 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.