Online GCD Calculator is useful to find the GCD of 672, 114, 469, 560 quickly. Get the easiest ways to solve the greatest common divisor of 672, 114, 469, 560 i.e 1 in different methods as follows.
Given Input numbers are 672, 114, 469, 560
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 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
Divisors of 469 :
The positive integer divisors of 469 that completely divides 469 are.
1, 7, 67, 469
Divisors of 560 :
The positive integer divisors of 560 that completely divides 560 are.
1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560
GCD of numbers is the greatest common divisor
So, the GCD (672, 114, 469, 560) = 1.
Given numbers are 672, 114, 469, 560
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 114 are 2 x 3 x 19
Prime factors of 469 are 7 x 67
Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 672, 114, 469, 560
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 114) = 12768
GCD(672, 114) = ( 672 x 114 ) / 12768
= 672 / 114
= 672
Step2:
LCM(6, 469) = 2814
GCD(6, 469) = ( 6 x 469 ) / 2814
= 6 / 469
= 6
Step3:
LCM(1, 560) = 560
GCD(1, 560) = ( 1 x 560 ) / 560
= 1 / 560
= 1
So, Greatest Common Divisor of 672, 114, 469, 560 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 114, 469, 560
The greatest common divisor of numbers 672, 114, 469, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 114, 469, 560 is 1.
1. What is the GCD of 672, 114, 469, 560?
GCD of given numbers 672, 114, 469, 560 is 1
2. How to calculate the greatest common divisor of 672, 114, 469, 560?
We can find the highest common divisor of 672, 114, 469, 560 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, 114, 469, 560 i.e 1.
3. How can I use the GCD of 672, 114, 469, 560Calculator?
Out the numbers 672, 114, 469, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.