Online GCD Calculator is useful to find the GCD of 612, 174, 672, 109 quickly. Get the easiest ways to solve the greatest common divisor of 612, 174, 672, 109 i.e 1 in different methods as follows.
Given Input numbers are 612, 174, 672, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 612 :
The positive integer divisors of 612 that completely divides 612 are.
1, 2, 3, 4, 6, 9, 12, 17, 18, 34, 36, 51, 68, 102, 153, 204, 306, 612
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
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 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (612, 174, 672, 109) = 1.
Given numbers are 612, 174, 672, 109
The list of prime factors of all numbers are
Prime factors of 612 are 2 x 2 x 3 x 3 x 17
Prime factors of 174 are 2 x 3 x 29
Prime factors of 672 are 2 x 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 612, 174, 672, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(612, 174) = 17748
GCD(612, 174) = ( 612 x 174 ) / 17748
= 612 / 174
= 612
Step2:
LCM(6, 672) = 672
GCD(6, 672) = ( 6 x 672 ) / 672
= 6 / 672
= 6
Step3:
LCM(6, 109) = 654
GCD(6, 109) = ( 6 x 109 ) / 654
= 6 / 109
= 6
So, Greatest Common Divisor of 612, 174, 672, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 612, 174, 672, 109
The greatest common divisor of numbers 612, 174, 672, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 612, 174, 672, 109 is 1.
1. What is the GCD of 612, 174, 672, 109?
GCD of given numbers 612, 174, 672, 109 is 1
2. How to calculate the greatest common divisor of 612, 174, 672, 109?
We can find the highest common divisor of 612, 174, 672, 109 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 612, 174, 672, 109 i.e 1.
3. How can I use the GCD of 612, 174, 672, 109Calculator?
Out the numbers 612, 174, 672, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.