Online GCD Calculator is useful to find the GCD of 672, 894, 102, 132 quickly. Get the easiest ways to solve the greatest common divisor of 672, 894, 102, 132 i.e 6 in different methods as follows.
Given Input numbers are 672, 894, 102, 132
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 894 :
The positive integer divisors of 894 that completely divides 894 are.
1, 2, 3, 6, 149, 298, 447, 894
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
GCD of numbers is the greatest common divisor
So, the GCD (672, 894, 102, 132) = 6.
Given numbers are 672, 894, 102, 132
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 894 are 2 x 3 x 149
Prime factors of 102 are 2 x 3 x 17
Prime factors of 132 are 2 x 2 x 3 x 11
The highest common occurrence is 21 x 31
Therefore, GCD of 672, 894, 102, 132 is 6.
Given numbers are 672, 894, 102, 132
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 894) = 100128
GCD(672, 894) = ( 672 x 894 ) / 100128
= 672 / 894
= 672
Step2:
LCM(6, 102) = 102
GCD(6, 102) = ( 6 x 102 ) / 102
= 6 / 102
= 6
Step3:
LCM(6, 132) = 132
GCD(6, 132) = ( 6 x 132 ) / 132
= 6 / 132
= 6
So, Greatest Common Divisor of 672, 894, 102, 132 is 6
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 894, 102, 132
The greatest common divisor of numbers 672, 894, 102, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 894, 102, 132 is 6.
1. What is the GCD of 672, 894, 102, 132?
GCD of given numbers 672, 894, 102, 132 is 6
2. How to calculate the greatest common divisor of 672, 894, 102, 132?
We can find the highest common divisor of 672, 894, 102, 132 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, 894, 102, 132 i.e 6.
3. How can I use the GCD of 672, 894, 102, 132Calculator?
Out the numbers 672, 894, 102, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.