Online GCD Calculator is useful to find the GCD of 552, 645, 402, 654 quickly. Get the easiest ways to solve the greatest common divisor of 552, 645, 402, 654 i.e 3 in different methods as follows.
Given Input numbers are 552, 645, 402, 654
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 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 402 :
The positive integer divisors of 402 that completely divides 402 are.
1, 2, 3, 6, 67, 134, 201, 402
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
GCD of numbers is the greatest common divisor
So, the GCD (552, 645, 402, 654) = 3.
Given numbers are 552, 645, 402, 654
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 645 are 3 x 5 x 43
Prime factors of 402 are 2 x 3 x 67
Prime factors of 654 are 2 x 3 x 109
The highest common occurrence is 31
Therefore, GCD of 552, 645, 402, 654 is 3.
Given numbers are 552, 645, 402, 654
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 645) = 118680
GCD(552, 645) = ( 552 x 645 ) / 118680
= 552 / 645
= 552
Step2:
LCM(3, 402) = 402
GCD(3, 402) = ( 3 x 402 ) / 402
= 3 / 402
= 3
Step3:
LCM(3, 654) = 654
GCD(3, 654) = ( 3 x 654 ) / 654
= 3 / 654
= 3
So, Greatest Common Divisor of 552, 645, 402, 654 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 645, 402, 654
The greatest common divisor of numbers 552, 645, 402, 654 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 645, 402, 654 is 3.
1. What is the GCD of 552, 645, 402, 654?
GCD of given numbers 552, 645, 402, 654 is 3
2. How to calculate the greatest common divisor of 552, 645, 402, 654?
We can find the highest common divisor of 552, 645, 402, 654 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, 645, 402, 654 i.e 3.
3. How can I use the GCD of 552, 645, 402, 654Calculator?
Out the numbers 552, 645, 402, 654 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.