Online GCD Calculator is useful to find the GCD of 672, 340, 14, 341 quickly. Get the easiest ways to solve the greatest common divisor of 672, 340, 14, 341 i.e 1 in different methods as follows.
Given Input numbers are 672, 340, 14, 341
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 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 341 :
The positive integer divisors of 341 that completely divides 341 are.
1, 11, 31, 341
GCD of numbers is the greatest common divisor
So, the GCD (672, 340, 14, 341) = 1.
Given numbers are 672, 340, 14, 341
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 340 are 2 x 2 x 5 x 17
Prime factors of 14 are 2 x 7
Prime factors of 341 are 11 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 672, 340, 14, 341
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(672, 340) = 57120
GCD(672, 340) = ( 672 x 340 ) / 57120
= 672 / 340
= 672
Step2:
LCM(4, 14) = 28
GCD(4, 14) = ( 4 x 14 ) / 28
= 4 / 14
= 4
Step3:
LCM(2, 341) = 682
GCD(2, 341) = ( 2 x 341 ) / 682
= 2 / 341
= 2
So, Greatest Common Divisor of 672, 340, 14, 341 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 672, 340, 14, 341
The greatest common divisor of numbers 672, 340, 14, 341 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 672, 340, 14, 341 is 1.
1. What is the GCD of 672, 340, 14, 341?
GCD of given numbers 672, 340, 14, 341 is 1
2. How to calculate the greatest common divisor of 672, 340, 14, 341?
We can find the highest common divisor of 672, 340, 14, 341 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, 340, 14, 341 i.e 1.
3. How can I use the GCD of 672, 340, 14, 341Calculator?
Out the numbers 672, 340, 14, 341 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.