Online GCD Calculator is useful to find the GCD of 720, 264, 476, 668 quickly. Get the easiest ways to solve the greatest common divisor of 720, 264, 476, 668 i.e 4 in different methods as follows.
Given Input numbers are 720, 264, 476, 668
In the factoring method, we have to find the divisors of all numbers
Divisors of 720 :
The positive integer divisors of 720 that completely divides 720 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
GCD of numbers is the greatest common divisor
So, the GCD (720, 264, 476, 668) = 4.
Given numbers are 720, 264, 476, 668
The list of prime factors of all numbers are
Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 668 are 2 x 2 x 167
The highest common occurrence is 22
Therefore, GCD of 720, 264, 476, 668 is 4.
Given numbers are 720, 264, 476, 668
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(720, 264) = 7920
GCD(720, 264) = ( 720 x 264 ) / 7920
= 720 / 264
= 720
Step2:
LCM(24, 476) = 2856
GCD(24, 476) = ( 24 x 476 ) / 2856
= 24 / 476
= 24
Step3:
LCM(4, 668) = 668
GCD(4, 668) = ( 4 x 668 ) / 668
= 4 / 668
= 4
So, Greatest Common Divisor of 720, 264, 476, 668 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 720, 264, 476, 668
The greatest common divisor of numbers 720, 264, 476, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 264, 476, 668 is 4.
1. What is the GCD of 720, 264, 476, 668?
GCD of given numbers 720, 264, 476, 668 is 4
2. How to calculate the greatest common divisor of 720, 264, 476, 668?
We can find the highest common divisor of 720, 264, 476, 668 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 720, 264, 476, 668 i.e 4.
3. How can I use the GCD of 720, 264, 476, 668Calculator?
Out the numbers 720, 264, 476, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.