Online GCD Calculator is useful to find the GCD of 756, 492, 921 quickly. Get the easiest ways to solve the greatest common divisor of 756, 492, 921 i.e 3 in different methods as follows.
Given Input numbers are 756, 492, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
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 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
GCD of numbers is the greatest common divisor
So, the GCD (756, 492, 921) = 3.
Given numbers are 756, 492, 921
The list of prime factors of all numbers are
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 756, 492, 921 is 3.
Given numbers are 756, 492, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(756, 492) = 30996
GCD(756, 492) = ( 756 x 492 ) / 30996
= 756 / 492
= 756
Step2:
LCM(12, 921) = 3684
GCD(12, 921) = ( 12 x 921 ) / 3684
= 12 / 921
= 12
So, Greatest Common Divisor of 756, 492, 921 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 756, 492, 921
The greatest common divisor of numbers 756, 492, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 756, 492, 921 is 3.
1. What is the GCD of 756, 492, 921?
GCD of given numbers 756, 492, 921 is 3
2. How to calculate the greatest common divisor of 756, 492, 921?
We can find the highest common divisor of 756, 492, 921 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 756, 492, 921 i.e 3.
3. How can I use the GCD of 756, 492, 921Calculator?
Out the numbers 756, 492, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.