Online GCD Calculator is useful to find the GCD of 572, 740, 480 quickly. Get the easiest ways to solve the greatest common divisor of 572, 740, 480 i.e 4 in different methods as follows.
Given Input numbers are 572, 740, 480
In the factoring method, we have to find the divisors of all numbers
Divisors of 572 :
The positive integer divisors of 572 that completely divides 572 are.
1, 2, 4, 11, 13, 22, 26, 44, 52, 143, 286, 572
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 480 :
The positive integer divisors of 480 that completely divides 480 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480
GCD of numbers is the greatest common divisor
So, the GCD (572, 740, 480) = 4.
Given numbers are 572, 740, 480
The list of prime factors of all numbers are
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5
The highest common occurrence is 22
Therefore, GCD of 572, 740, 480 is 4.
Given numbers are 572, 740, 480
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(572, 740) = 105820
GCD(572, 740) = ( 572 x 740 ) / 105820
= 572 / 740
= 572
Step2:
LCM(4, 480) = 480
GCD(4, 480) = ( 4 x 480 ) / 480
= 4 / 480
= 4
So, Greatest Common Divisor of 572, 740, 480 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 572, 740, 480
The greatest common divisor of numbers 572, 740, 480 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 572, 740, 480 is 4.
1. What is the GCD of 572, 740, 480?
GCD of given numbers 572, 740, 480 is 4
2. How to calculate the greatest common divisor of 572, 740, 480?
We can find the highest common divisor of 572, 740, 480 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 572, 740, 480 i.e 4.
3. How can I use the GCD of 572, 740, 480Calculator?
Out the numbers 572, 740, 480 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.