Online GCD Calculator is useful to find the GCD of 552, 675, 297, 921 quickly. Get the easiest ways to solve the greatest common divisor of 552, 675, 297, 921 i.e 3 in different methods as follows.
Given Input numbers are 552, 675, 297, 921
In the factoring method, we have to find the divisors of all numbers
Divisors of 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 675 :
The positive integer divisors of 675 that completely divides 675 are.
1, 3, 5, 9, 15, 25, 27, 45, 75, 135, 225, 675
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
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 (552, 675, 297, 921) = 3.
Given numbers are 552, 675, 297, 921
The list of prime factors of all numbers are
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 675 are 3 x 3 x 3 x 5 x 5
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 921 are 3 x 307
The highest common occurrence is 31
Therefore, GCD of 552, 675, 297, 921 is 3.
Given numbers are 552, 675, 297, 921
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 675) = 124200
GCD(552, 675) = ( 552 x 675 ) / 124200
= 552 / 675
= 552
Step2:
LCM(3, 297) = 297
GCD(3, 297) = ( 3 x 297 ) / 297
= 3 / 297
= 3
Step3:
LCM(3, 921) = 921
GCD(3, 921) = ( 3 x 921 ) / 921
= 3 / 921
= 3
So, Greatest Common Divisor of 552, 675, 297, 921 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 675, 297, 921
The greatest common divisor of numbers 552, 675, 297, 921 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 675, 297, 921 is 3.
1. What is the GCD of 552, 675, 297, 921?
GCD of given numbers 552, 675, 297, 921 is 3
2. How to calculate the greatest common divisor of 552, 675, 297, 921?
We can find the highest common divisor of 552, 675, 297, 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 552, 675, 297, 921 i.e 3.
3. How can I use the GCD of 552, 675, 297, 921Calculator?
Out the numbers 552, 675, 297, 921 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.