Online GCD Calculator is useful to find the GCD of 921, 870, 312 quickly. Get the easiest ways to solve the greatest common divisor of 921, 870, 312 i.e 3 in different methods as follows.
Given Input numbers are 921, 870, 312
In the factoring method, we have to find the divisors of all numbers
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 870 :
The positive integer divisors of 870 that completely divides 870 are.
1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
GCD of numbers is the greatest common divisor
So, the GCD (921, 870, 312) = 3.
Given numbers are 921, 870, 312
The list of prime factors of all numbers are
Prime factors of 921 are 3 x 307
Prime factors of 870 are 2 x 3 x 5 x 29
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
The highest common occurrence is 31
Therefore, GCD of 921, 870, 312 is 3.
Given numbers are 921, 870, 312
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(921, 870) = 267090
GCD(921, 870) = ( 921 x 870 ) / 267090
= 921 / 870
= 921
Step2:
LCM(3, 312) = 312
GCD(3, 312) = ( 3 x 312 ) / 312
= 3 / 312
= 3
So, Greatest Common Divisor of 921, 870, 312 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 921, 870, 312
The greatest common divisor of numbers 921, 870, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 921, 870, 312 is 3.
1. What is the GCD of 921, 870, 312?
GCD of given numbers 921, 870, 312 is 3
2. How to calculate the greatest common divisor of 921, 870, 312?
We can find the highest common divisor of 921, 870, 312 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 921, 870, 312 i.e 3.
3. How can I use the GCD of 921, 870, 312Calculator?
Out the numbers 921, 870, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.