Online GCD Calculator is useful to find the GCD of 920, 368, 14, 279 quickly. Get the easiest ways to solve the greatest common divisor of 920, 368, 14, 279 i.e 1 in different methods as follows.
Given Input numbers are 920, 368, 14, 279
In the factoring method, we have to find the divisors of all numbers
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 368 :
The positive integer divisors of 368 that completely divides 368 are.
1, 2, 4, 8, 16, 23, 46, 92, 184, 368
Divisors of 14 :
The positive integer divisors of 14 that completely divides 14 are.
1, 2, 7, 14
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
GCD of numbers is the greatest common divisor
So, the GCD (920, 368, 14, 279) = 1.
Given numbers are 920, 368, 14, 279
The list of prime factors of all numbers are
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 368 are 2 x 2 x 2 x 2 x 23
Prime factors of 14 are 2 x 7
Prime factors of 279 are 3 x 3 x 31
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 920, 368, 14, 279
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(920, 368) = 1840
GCD(920, 368) = ( 920 x 368 ) / 1840
= 920 / 368
= 920
Step2:
LCM(184, 14) = 1288
GCD(184, 14) = ( 184 x 14 ) / 1288
= 184 / 14
= 184
Step3:
LCM(2, 279) = 558
GCD(2, 279) = ( 2 x 279 ) / 558
= 2 / 279
= 2
So, Greatest Common Divisor of 920, 368, 14, 279 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 920, 368, 14, 279
The greatest common divisor of numbers 920, 368, 14, 279 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 920, 368, 14, 279 is 1.
1. What is the GCD of 920, 368, 14, 279?
GCD of given numbers 920, 368, 14, 279 is 1
2. How to calculate the greatest common divisor of 920, 368, 14, 279?
We can find the highest common divisor of 920, 368, 14, 279 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 920, 368, 14, 279 i.e 1.
3. How can I use the GCD of 920, 368, 14, 279Calculator?
Out the numbers 920, 368, 14, 279 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.