Online GCD Calculator is useful to find the GCD of 552, 354, 478, 564 quickly. Get the easiest ways to solve the greatest common divisor of 552, 354, 478, 564 i.e 2 in different methods as follows.
Given Input numbers are 552, 354, 478, 564
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 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 478 :
The positive integer divisors of 478 that completely divides 478 are.
1, 2, 239, 478
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (552, 354, 478, 564) = 2.
Given numbers are 552, 354, 478, 564
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 354 are 2 x 3 x 59
Prime factors of 478 are 2 x 239
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 21
Therefore, GCD of 552, 354, 478, 564 is 2.
Given numbers are 552, 354, 478, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 354) = 32568
GCD(552, 354) = ( 552 x 354 ) / 32568
= 552 / 354
= 552
Step2:
LCM(6, 478) = 1434
GCD(6, 478) = ( 6 x 478 ) / 1434
= 6 / 478
= 6
Step3:
LCM(2, 564) = 564
GCD(2, 564) = ( 2 x 564 ) / 564
= 2 / 564
= 2
So, Greatest Common Divisor of 552, 354, 478, 564 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 354, 478, 564
The greatest common divisor of numbers 552, 354, 478, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 354, 478, 564 is 2.
1. What is the GCD of 552, 354, 478, 564?
GCD of given numbers 552, 354, 478, 564 is 2
2. How to calculate the greatest common divisor of 552, 354, 478, 564?
We can find the highest common divisor of 552, 354, 478, 564 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, 354, 478, 564 i.e 2.
3. How can I use the GCD of 552, 354, 478, 564Calculator?
Out the numbers 552, 354, 478, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.