Online GCD Calculator is useful to find the GCD of 472, 712, 632, 434 quickly. Get the easiest ways to solve the greatest common divisor of 472, 712, 632, 434 i.e 2 in different methods as follows.
Given Input numbers are 472, 712, 632, 434
In the factoring method, we have to find the divisors of all numbers
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 632 :
The positive integer divisors of 632 that completely divides 632 are.
1, 2, 4, 8, 79, 158, 316, 632
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
GCD of numbers is the greatest common divisor
So, the GCD (472, 712, 632, 434) = 2.
Given numbers are 472, 712, 632, 434
The list of prime factors of all numbers are
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 632 are 2 x 2 x 2 x 79
Prime factors of 434 are 2 x 7 x 31
The highest common occurrence is 21
Therefore, GCD of 472, 712, 632, 434 is 2.
Given numbers are 472, 712, 632, 434
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(472, 712) = 42008
GCD(472, 712) = ( 472 x 712 ) / 42008
= 472 / 712
= 472
Step2:
LCM(8, 632) = 632
GCD(8, 632) = ( 8 x 632 ) / 632
= 8 / 632
= 8
Step3:
LCM(8, 434) = 1736
GCD(8, 434) = ( 8 x 434 ) / 1736
= 8 / 434
= 8
So, Greatest Common Divisor of 472, 712, 632, 434 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 472, 712, 632, 434
The greatest common divisor of numbers 472, 712, 632, 434 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 712, 632, 434 is 2.
1. What is the GCD of 472, 712, 632, 434?
GCD of given numbers 472, 712, 632, 434 is 2
2. How to calculate the greatest common divisor of 472, 712, 632, 434?
We can find the highest common divisor of 472, 712, 632, 434 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 472, 712, 632, 434 i.e 2.
3. How can I use the GCD of 472, 712, 632, 434Calculator?
Out the numbers 472, 712, 632, 434 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.