Online GCD Calculator is useful to find the GCD of 672, 214, 531, 746 quickly. Get the easiest ways to solve the greatest common divisor of 672, 214, 531, 746 i.e 1 in different methods as follows.
Given Input numbers are 672, 214, 531, 746
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 214 :
The positive integer divisors of 214 that completely divides 214 are.
1, 2, 107, 214
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 746 :
The positive integer divisors of 746 that completely divides 746 are.
1, 2, 373, 746
GCD of numbers is the greatest common divisor
So, the GCD (672, 214, 531, 746) = 1.
Given numbers are 672, 214, 531, 746
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 214 are 2 x 107
Prime factors of 531 are 3 x 3 x 59
Prime factors of 746 are 2 x 373
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 672, 214, 531, 746
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 214) = 71904
GCD(672, 214) = ( 672 x 214 ) / 71904
= 672 / 214
= 672
Step2:
LCM(2, 531) = 1062
GCD(2, 531) = ( 2 x 531 ) / 1062
= 2 / 531
= 2
Step3:
LCM(1, 746) = 746
GCD(1, 746) = ( 1 x 746 ) / 746
= 1 / 746
= 1
So, Greatest Common Divisor of 672, 214, 531, 746 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 214, 531, 746
The greatest common divisor of numbers 672, 214, 531, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 214, 531, 746 is 1.
1. What is the GCD of 672, 214, 531, 746?
GCD of given numbers 672, 214, 531, 746 is 1
2. How to calculate the greatest common divisor of 672, 214, 531, 746?
We can find the highest common divisor of 672, 214, 531, 746 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, 214, 531, 746 i.e 1.
3. How can I use the GCD of 672, 214, 531, 746Calculator?
Out the numbers 672, 214, 531, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.