Online GCD Calculator is useful to find the GCD of 552, 644, 496, 698 quickly. Get the easiest ways to solve the greatest common divisor of 552, 644, 496, 698 i.e 2 in different methods as follows.
Given Input numbers are 552, 644, 496, 698
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 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 496 :
The positive integer divisors of 496 that completely divides 496 are.
1, 2, 4, 8, 16, 31, 62, 124, 248, 496
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (552, 644, 496, 698) = 2.
Given numbers are 552, 644, 496, 698
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 644 are 2 x 2 x 7 x 23
Prime factors of 496 are 2 x 2 x 2 x 2 x 31
Prime factors of 698 are 2 x 349
The highest common occurrence is 21
Therefore, GCD of 552, 644, 496, 698 is 2.
Given numbers are 552, 644, 496, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 644) = 3864
GCD(552, 644) = ( 552 x 644 ) / 3864
= 552 / 644
= 552
Step2:
LCM(92, 496) = 11408
GCD(92, 496) = ( 92 x 496 ) / 11408
= 92 / 496
= 92
Step3:
LCM(4, 698) = 1396
GCD(4, 698) = ( 4 x 698 ) / 1396
= 4 / 698
= 4
So, Greatest Common Divisor of 552, 644, 496, 698 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 644, 496, 698
The greatest common divisor of numbers 552, 644, 496, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 644, 496, 698 is 2.
1. What is the GCD of 552, 644, 496, 698?
GCD of given numbers 552, 644, 496, 698 is 2
2. How to calculate the greatest common divisor of 552, 644, 496, 698?
We can find the highest common divisor of 552, 644, 496, 698 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, 644, 496, 698 i.e 2.
3. How can I use the GCD of 552, 644, 496, 698Calculator?
Out the numbers 552, 644, 496, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.