Online GCD Calculator is useful to find the GCD of 654, 545, 680 quickly. Get the easiest ways to solve the greatest common divisor of 654, 545, 680 i.e 1 in different methods as follows.
Given Input numbers are 654, 545, 680
In the factoring method, we have to find the divisors of all numbers
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 545 :
The positive integer divisors of 545 that completely divides 545 are.
1, 5, 109, 545
Divisors of 680 :
The positive integer divisors of 680 that completely divides 680 are.
1, 2, 4, 5, 8, 10, 17, 20, 34, 40, 68, 85, 136, 170, 340, 680
GCD of numbers is the greatest common divisor
So, the GCD (654, 545, 680) = 1.
Given numbers are 654, 545, 680
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 545 are 5 x 109
Prime factors of 680 are 2 x 2 x 2 x 5 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 654, 545, 680
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 545) = 3270
GCD(654, 545) = ( 654 x 545 ) / 3270
= 654 / 545
= 654
Step2:
LCM(109, 680) = 74120
GCD(109, 680) = ( 109 x 680 ) / 74120
= 109 / 680
= 109
So, Greatest Common Divisor of 654, 545, 680 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 545, 680
The greatest common divisor of numbers 654, 545, 680 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 545, 680 is 1.
1. What is the GCD of 654, 545, 680?
GCD of given numbers 654, 545, 680 is 1
2. How to calculate the greatest common divisor of 654, 545, 680?
We can find the highest common divisor of 654, 545, 680 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 654, 545, 680 i.e 1.
3. How can I use the GCD of 654, 545, 680Calculator?
Out the numbers 654, 545, 680 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.