Online GCD Calculator is useful to find the GCD of 276, 142, 209, 614 quickly. Get the easiest ways to solve the greatest common divisor of 276, 142, 209, 614 i.e 1 in different methods as follows.
Given Input numbers are 276, 142, 209, 614
In the factoring method, we have to find the divisors of all numbers
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
GCD of numbers is the greatest common divisor
So, the GCD (276, 142, 209, 614) = 1.
Given numbers are 276, 142, 209, 614
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 142 are 2 x 71
Prime factors of 209 are 11 x 19
Prime factors of 614 are 2 x 307
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 276, 142, 209, 614
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 142) = 19596
GCD(276, 142) = ( 276 x 142 ) / 19596
= 276 / 142
= 276
Step2:
LCM(2, 209) = 418
GCD(2, 209) = ( 2 x 209 ) / 418
= 2 / 209
= 2
Step3:
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
= 1 / 614
= 1
So, Greatest Common Divisor of 276, 142, 209, 614 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 276, 142, 209, 614
The greatest common divisor of numbers 276, 142, 209, 614 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 142, 209, 614 is 1.
1. What is the GCD of 276, 142, 209, 614?
GCD of given numbers 276, 142, 209, 614 is 1
2. How to calculate the greatest common divisor of 276, 142, 209, 614?
We can find the highest common divisor of 276, 142, 209, 614 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 276, 142, 209, 614 i.e 1.
3. How can I use the GCD of 276, 142, 209, 614Calculator?
Out the numbers 276, 142, 209, 614 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.