Online GCD Calculator is useful to find the GCD of 208, 387, 224, 261 quickly. Get the easiest ways to solve the greatest common divisor of 208, 387, 224, 261 i.e 1 in different methods as follows.
Given Input numbers are 208, 387, 224, 261
In the factoring method, we have to find the divisors of all numbers
Divisors of 208 :
The positive integer divisors of 208 that completely divides 208 are.
1, 2, 4, 8, 13, 16, 26, 52, 104, 208
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
Divisors of 224 :
The positive integer divisors of 224 that completely divides 224 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 112, 224
Divisors of 261 :
The positive integer divisors of 261 that completely divides 261 are.
1, 3, 9, 29, 87, 261
GCD of numbers is the greatest common divisor
So, the GCD (208, 387, 224, 261) = 1.
Given numbers are 208, 387, 224, 261
The list of prime factors of all numbers are
Prime factors of 208 are 2 x 2 x 2 x 2 x 13
Prime factors of 387 are 3 x 3 x 43
Prime factors of 224 are 2 x 2 x 2 x 2 x 2 x 7
Prime factors of 261 are 3 x 3 x 29
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 208, 387, 224, 261
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(208, 387) = 80496
GCD(208, 387) = ( 208 x 387 ) / 80496
= 208 / 387
= 208
Step2:
LCM(1, 224) = 224
GCD(1, 224) = ( 1 x 224 ) / 224
= 1 / 224
= 1
Step3:
LCM(1, 261) = 261
GCD(1, 261) = ( 1 x 261 ) / 261
= 1 / 261
= 1
So, Greatest Common Divisor of 208, 387, 224, 261 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 208, 387, 224, 261
The greatest common divisor of numbers 208, 387, 224, 261 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 208, 387, 224, 261 is 1.
1. What is the GCD of 208, 387, 224, 261?
GCD of given numbers 208, 387, 224, 261 is 1
2. How to calculate the greatest common divisor of 208, 387, 224, 261?
We can find the highest common divisor of 208, 387, 224, 261 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 208, 387, 224, 261 i.e 1.
3. How can I use the GCD of 208, 387, 224, 261Calculator?
Out the numbers 208, 387, 224, 261 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.