Online GCD Calculator is useful to find the GCD of 681, 546, 573, 714 quickly. Get the easiest ways to solve the greatest common divisor of 681, 546, 573, 714 i.e 3 in different methods as follows.
Given Input numbers are 681, 546, 573, 714
In the factoring method, we have to find the divisors of all numbers
Divisors of 681 :
The positive integer divisors of 681 that completely divides 681 are.
1, 3, 227, 681
Divisors of 546 :
The positive integer divisors of 546 that completely divides 546 are.
1, 2, 3, 6, 7, 13, 14, 21, 26, 39, 42, 78, 91, 182, 273, 546
Divisors of 573 :
The positive integer divisors of 573 that completely divides 573 are.
1, 3, 191, 573
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
GCD of numbers is the greatest common divisor
So, the GCD (681, 546, 573, 714) = 3.
Given numbers are 681, 546, 573, 714
The list of prime factors of all numbers are
Prime factors of 681 are 3 x 227
Prime factors of 546 are 2 x 3 x 7 x 13
Prime factors of 573 are 3 x 191
Prime factors of 714 are 2 x 3 x 7 x 17
The highest common occurrence is 31
Therefore, GCD of 681, 546, 573, 714 is 3.
Given numbers are 681, 546, 573, 714
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(681, 546) = 123942
GCD(681, 546) = ( 681 x 546 ) / 123942
= 681 / 546
= 681
Step2:
LCM(3, 573) = 573
GCD(3, 573) = ( 3 x 573 ) / 573
= 3 / 573
= 3
Step3:
LCM(3, 714) = 714
GCD(3, 714) = ( 3 x 714 ) / 714
= 3 / 714
= 3
So, Greatest Common Divisor of 681, 546, 573, 714 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 681, 546, 573, 714
The greatest common divisor of numbers 681, 546, 573, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 681, 546, 573, 714 is 3.
1. What is the GCD of 681, 546, 573, 714?
GCD of given numbers 681, 546, 573, 714 is 3
2. How to calculate the greatest common divisor of 681, 546, 573, 714?
We can find the highest common divisor of 681, 546, 573, 714 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 681, 546, 573, 714 i.e 3.
3. How can I use the GCD of 681, 546, 573, 714Calculator?
Out the numbers 681, 546, 573, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.