Online GCD Calculator is useful to find the GCD of 654, 429, 784, 428 quickly. Get the easiest ways to solve the greatest common divisor of 654, 429, 784, 428 i.e 1 in different methods as follows.
Given Input numbers are 654, 429, 784, 428
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 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 428 :
The positive integer divisors of 428 that completely divides 428 are.
1, 2, 4, 107, 214, 428
GCD of numbers is the greatest common divisor
So, the GCD (654, 429, 784, 428) = 1.
Given numbers are 654, 429, 784, 428
The list of prime factors of all numbers are
Prime factors of 654 are 2 x 3 x 109
Prime factors of 429 are 3 x 11 x 13
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 428 are 2 x 2 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 654, 429, 784, 428
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(654, 429) = 93522
GCD(654, 429) = ( 654 x 429 ) / 93522
= 654 / 429
= 654
Step2:
LCM(3, 784) = 2352
GCD(3, 784) = ( 3 x 784 ) / 2352
= 3 / 784
= 3
Step3:
LCM(1, 428) = 428
GCD(1, 428) = ( 1 x 428 ) / 428
= 1 / 428
= 1
So, Greatest Common Divisor of 654, 429, 784, 428 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 654, 429, 784, 428
The greatest common divisor of numbers 654, 429, 784, 428 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 654, 429, 784, 428 is 1.
1. What is the GCD of 654, 429, 784, 428?
GCD of given numbers 654, 429, 784, 428 is 1
2. How to calculate the greatest common divisor of 654, 429, 784, 428?
We can find the highest common divisor of 654, 429, 784, 428 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, 429, 784, 428 i.e 1.
3. How can I use the GCD of 654, 429, 784, 428Calculator?
Out the numbers 654, 429, 784, 428 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.