Online GCD Calculator is useful to find the GCD of 552, 662, 680, 600 quickly. Get the easiest ways to solve the greatest common divisor of 552, 662, 680, 600 i.e 2 in different methods as follows.
Given Input numbers are 552, 662, 680, 600
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 662 :
The positive integer divisors of 662 that completely divides 662 are.
1, 2, 331, 662
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
Divisors of 600 :
The positive integer divisors of 600 that completely divides 600 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 50, 60, 75, 100, 120, 150, 200, 300, 600
GCD of numbers is the greatest common divisor
So, the GCD (552, 662, 680, 600) = 2.
Given numbers are 552, 662, 680, 600
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 662 are 2 x 331
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
Prime factors of 600 are 2 x 2 x 2 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 552, 662, 680, 600 is 2.
Given numbers are 552, 662, 680, 600
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(552, 662) = 182712
GCD(552, 662) = ( 552 x 662 ) / 182712
= 552 / 662
= 552
Step2:
LCM(2, 680) = 680
GCD(2, 680) = ( 2 x 680 ) / 680
= 2 / 680
= 2
Step3:
LCM(2, 600) = 600
GCD(2, 600) = ( 2 x 600 ) / 600
= 2 / 600
= 2
So, Greatest Common Divisor of 552, 662, 680, 600 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 552, 662, 680, 600
The greatest common divisor of numbers 552, 662, 680, 600 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 552, 662, 680, 600 is 2.
1. What is the GCD of 552, 662, 680, 600?
GCD of given numbers 552, 662, 680, 600 is 2
2. How to calculate the greatest common divisor of 552, 662, 680, 600?
We can find the highest common divisor of 552, 662, 680, 600 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, 662, 680, 600 i.e 2.
3. How can I use the GCD of 552, 662, 680, 600Calculator?
Out the numbers 552, 662, 680, 600 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.