Online GCD Calculator is useful to find the GCD of 274, 687, 269, 321 quickly. Get the easiest ways to solve the greatest common divisor of 274, 687, 269, 321 i.e 1 in different methods as follows.
Given Input numbers are 274, 687, 269, 321
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 687 :
The positive integer divisors of 687 that completely divides 687 are.
1, 3, 229, 687
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
GCD of numbers is the greatest common divisor
So, the GCD (274, 687, 269, 321) = 1.
Given numbers are 274, 687, 269, 321
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 687 are 3 x 229
Prime factors of 269 are 269
Prime factors of 321 are 3 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 687, 269, 321
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 687) = 188238
GCD(274, 687) = ( 274 x 687 ) / 188238
= 274 / 687
= 274
Step2:
LCM(1, 269) = 269
GCD(1, 269) = ( 1 x 269 ) / 269
= 1 / 269
= 1
Step3:
LCM(1, 321) = 321
GCD(1, 321) = ( 1 x 321 ) / 321
= 1 / 321
= 1
So, Greatest Common Divisor of 274, 687, 269, 321 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 687, 269, 321
The greatest common divisor of numbers 274, 687, 269, 321 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 687, 269, 321 is 1.
1. What is the GCD of 274, 687, 269, 321?
GCD of given numbers 274, 687, 269, 321 is 1
2. How to calculate the greatest common divisor of 274, 687, 269, 321?
We can find the highest common divisor of 274, 687, 269, 321 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 274, 687, 269, 321 i.e 1.
3. How can I use the GCD of 274, 687, 269, 321Calculator?
Out the numbers 274, 687, 269, 321 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.