Online GCD Calculator is useful to find the GCD of 144, 572, 712, 672 quickly. Get the easiest ways to solve the greatest common divisor of 144, 572, 712, 672 i.e 4 in different methods as follows.
Given Input numbers are 144, 572, 712, 672
In the factoring method, we have to find the divisors of all numbers
Divisors of 144 :
The positive integer divisors of 144 that completely divides 144 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144
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 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 672 :
The positive integer divisors of 672 that completely divides 672 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 32, 42, 48, 56, 84, 96, 112, 168, 224, 336, 672
GCD of numbers is the greatest common divisor
So, the GCD (144, 572, 712, 672) = 4.
Given numbers are 144, 572, 712, 672
The list of prime factors of all numbers are
Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3
Prime factors of 572 are 2 x 2 x 11 x 13
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 22
Therefore, GCD of 144, 572, 712, 672 is 4.
Given numbers are 144, 572, 712, 672
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(144, 572) = 20592
GCD(144, 572) = ( 144 x 572 ) / 20592
= 144 / 572
= 144
Step2:
LCM(4, 712) = 712
GCD(4, 712) = ( 4 x 712 ) / 712
= 4 / 712
= 4
Step3:
LCM(4, 672) = 672
GCD(4, 672) = ( 4 x 672 ) / 672
= 4 / 672
= 4
So, Greatest Common Divisor of 144, 572, 712, 672 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 144, 572, 712, 672
The greatest common divisor of numbers 144, 572, 712, 672 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 572, 712, 672 is 4.
1. What is the GCD of 144, 572, 712, 672?
GCD of given numbers 144, 572, 712, 672 is 4
2. How to calculate the greatest common divisor of 144, 572, 712, 672?
We can find the highest common divisor of 144, 572, 712, 672 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 144, 572, 712, 672 i.e 4.
3. How can I use the GCD of 144, 572, 712, 672Calculator?
Out the numbers 144, 572, 712, 672 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.