Online GCD Calculator is useful to find the GCD of 672, 456, 642 quickly. Get the easiest ways to solve the greatest common divisor of 672, 456, 642 i.e 6 in different methods as follows.
Given Input numbers are 672, 456, 642
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 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 642 :
The positive integer divisors of 642 that completely divides 642 are.
1, 2, 3, 6, 107, 214, 321, 642
GCD of numbers is the greatest common divisor
So, the GCD (672, 456, 642) = 6.
Given numbers are 672, 456, 642
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 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 642 are 2 x 3 x 107
The highest common occurrence is 21 x 31
Therefore, GCD of 672, 456, 642 is 6.
Given numbers are 672, 456, 642
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 456) = 12768
GCD(672, 456) = ( 672 x 456 ) / 12768
= 672 / 456
= 672
Step2:
LCM(24, 642) = 2568
GCD(24, 642) = ( 24 x 642 ) / 2568
= 24 / 642
= 24
So, Greatest Common Divisor of 672, 456, 642 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 456, 642
The greatest common divisor of numbers 672, 456, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 456, 642 is 6.
1. What is the GCD of 672, 456, 642?
GCD of given numbers 672, 456, 642 is 6
2. How to calculate the greatest common divisor of 672, 456, 642?
We can find the highest common divisor of 672, 456, 642 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, 456, 642 i.e 6.
3. How can I use the GCD of 672, 456, 642Calculator?
Out the numbers 672, 456, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.