Online GCD Calculator is useful to find the GCD of 672, 906, 237, 432 quickly. Get the easiest ways to solve the greatest common divisor of 672, 906, 237, 432 i.e 3 in different methods as follows.
Given Input numbers are 672, 906, 237, 432
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 906 :
The positive integer divisors of 906 that completely divides 906 are.
1, 2, 3, 6, 151, 302, 453, 906
Divisors of 237 :
The positive integer divisors of 237 that completely divides 237 are.
1, 3, 79, 237
Divisors of 432 :
The positive integer divisors of 432 that completely divides 432 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 216, 432
GCD of numbers is the greatest common divisor
So, the GCD (672, 906, 237, 432) = 3.
Given numbers are 672, 906, 237, 432
The list of prime factors of all numbers are
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 906 are 2 x 3 x 151
Prime factors of 237 are 3 x 79
Prime factors of 432 are 2 x 2 x 2 x 2 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 672, 906, 237, 432 is 3.
Given numbers are 672, 906, 237, 432
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 906) = 101472
GCD(672, 906) = ( 672 x 906 ) / 101472
= 672 / 906
= 672
Step2:
LCM(6, 237) = 474
GCD(6, 237) = ( 6 x 237 ) / 474
= 6 / 237
= 6
Step3:
LCM(3, 432) = 432
GCD(3, 432) = ( 3 x 432 ) / 432
= 3 / 432
= 3
So, Greatest Common Divisor of 672, 906, 237, 432 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 906, 237, 432
The greatest common divisor of numbers 672, 906, 237, 432 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 906, 237, 432 is 3.
1. What is the GCD of 672, 906, 237, 432?
GCD of given numbers 672, 906, 237, 432 is 3
2. How to calculate the greatest common divisor of 672, 906, 237, 432?
We can find the highest common divisor of 672, 906, 237, 432 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 672, 906, 237, 432 i.e 3.
3. How can I use the GCD of 672, 906, 237, 432Calculator?
Out the numbers 672, 906, 237, 432 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.