Online GCD Calculator is useful to find the GCD of 280, 169, 371, 349 quickly. Get the easiest ways to solve the greatest common divisor of 280, 169, 371, 349 i.e 1 in different methods as follows.
Given Input numbers are 280, 169, 371, 349
In the factoring method, we have to find the divisors of all numbers
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
Divisors of 169 :
The positive integer divisors of 169 that completely divides 169 are.
1, 13, 169
Divisors of 371 :
The positive integer divisors of 371 that completely divides 371 are.
1, 7, 53, 371
Divisors of 349 :
The positive integer divisors of 349 that completely divides 349 are.
1, 349
GCD of numbers is the greatest common divisor
So, the GCD (280, 169, 371, 349) = 1.
Given numbers are 280, 169, 371, 349
The list of prime factors of all numbers are
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
Prime factors of 169 are 13 x 13
Prime factors of 371 are 7 x 53
Prime factors of 349 are 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 280, 169, 371, 349
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(280, 169) = 47320
GCD(280, 169) = ( 280 x 169 ) / 47320
= 280 / 169
= 280
Step2:
LCM(1, 371) = 371
GCD(1, 371) = ( 1 x 371 ) / 371
= 1 / 371
= 1
Step3:
LCM(1, 349) = 349
GCD(1, 349) = ( 1 x 349 ) / 349
= 1 / 349
= 1
So, Greatest Common Divisor of 280, 169, 371, 349 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 280, 169, 371, 349
The greatest common divisor of numbers 280, 169, 371, 349 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 169, 371, 349 is 1.
1. What is the GCD of 280, 169, 371, 349?
GCD of given numbers 280, 169, 371, 349 is 1
2. How to calculate the greatest common divisor of 280, 169, 371, 349?
We can find the highest common divisor of 280, 169, 371, 349 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 280, 169, 371, 349 i.e 1.
3. How can I use the GCD of 280, 169, 371, 349Calculator?
Out the numbers 280, 169, 371, 349 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.