Online GCD Calculator is useful to find the GCD of 279, 456, 709, 137 quickly. Get the easiest ways to solve the greatest common divisor of 279, 456, 709, 137 i.e 1 in different methods as follows.
Given Input numbers are 279, 456, 709, 137
In the factoring method, we have to find the divisors of all numbers
Divisors of 279 :
The positive integer divisors of 279 that completely divides 279 are.
1, 3, 9, 31, 93, 279
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
Divisors of 137 :
The positive integer divisors of 137 that completely divides 137 are.
1, 137
GCD of numbers is the greatest common divisor
So, the GCD (279, 456, 709, 137) = 1.
Given numbers are 279, 456, 709, 137
The list of prime factors of all numbers are
Prime factors of 279 are 3 x 3 x 31
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 709 are 709
Prime factors of 137 are 137
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 279, 456, 709, 137
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(279, 456) = 42408
GCD(279, 456) = ( 279 x 456 ) / 42408
= 279 / 456
= 279
Step2:
LCM(3, 709) = 2127
GCD(3, 709) = ( 3 x 709 ) / 2127
= 3 / 709
= 3
Step3:
LCM(1, 137) = 137
GCD(1, 137) = ( 1 x 137 ) / 137
= 1 / 137
= 1
So, Greatest Common Divisor of 279, 456, 709, 137 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 279, 456, 709, 137
The greatest common divisor of numbers 279, 456, 709, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 279, 456, 709, 137 is 1.
1. What is the GCD of 279, 456, 709, 137?
GCD of given numbers 279, 456, 709, 137 is 1
2. How to calculate the greatest common divisor of 279, 456, 709, 137?
We can find the highest common divisor of 279, 456, 709, 137 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 279, 456, 709, 137 i.e 1.
3. How can I use the GCD of 279, 456, 709, 137Calculator?
Out the numbers 279, 456, 709, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.