Online GCD Calculator is useful to find the GCD of 730, 742, 168, 552 quickly. Get the easiest ways to solve the greatest common divisor of 730, 742, 168, 552 i.e 2 in different methods as follows.
Given Input numbers are 730, 742, 168, 552
In the factoring method, we have to find the divisors of all numbers
Divisors of 730 :
The positive integer divisors of 730 that completely divides 730 are.
1, 2, 5, 10, 73, 146, 365, 730
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
Divisors of 168 :
The positive integer divisors of 168 that completely divides 168 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168
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
GCD of numbers is the greatest common divisor
So, the GCD (730, 742, 168, 552) = 2.
Given numbers are 730, 742, 168, 552
The list of prime factors of all numbers are
Prime factors of 730 are 2 x 5 x 73
Prime factors of 742 are 2 x 7 x 53
Prime factors of 168 are 2 x 2 x 2 x 3 x 7
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
The highest common occurrence is 21
Therefore, GCD of 730, 742, 168, 552 is 2.
Given numbers are 730, 742, 168, 552
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(730, 742) = 270830
GCD(730, 742) = ( 730 x 742 ) / 270830
= 730 / 742
= 730
Step2:
LCM(2, 168) = 168
GCD(2, 168) = ( 2 x 168 ) / 168
= 2 / 168
= 2
Step3:
LCM(2, 552) = 552
GCD(2, 552) = ( 2 x 552 ) / 552
= 2 / 552
= 2
So, Greatest Common Divisor of 730, 742, 168, 552 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 730, 742, 168, 552
The greatest common divisor of numbers 730, 742, 168, 552 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 730, 742, 168, 552 is 2.
1. What is the GCD of 730, 742, 168, 552?
GCD of given numbers 730, 742, 168, 552 is 2
2. How to calculate the greatest common divisor of 730, 742, 168, 552?
We can find the highest common divisor of 730, 742, 168, 552 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 730, 742, 168, 552 i.e 2.
3. How can I use the GCD of 730, 742, 168, 552Calculator?
Out the numbers 730, 742, 168, 552 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.