Online GCD Calculator is useful to find the GCD of 699, 136, 309, 280 quickly. Get the easiest ways to solve the greatest common divisor of 699, 136, 309, 280 i.e 1 in different methods as follows.
Given Input numbers are 699, 136, 309, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 699 :
The positive integer divisors of 699 that completely divides 699 are.
1, 3, 233, 699
Divisors of 136 :
The positive integer divisors of 136 that completely divides 136 are.
1, 2, 4, 8, 17, 34, 68, 136
Divisors of 309 :
The positive integer divisors of 309 that completely divides 309 are.
1, 3, 103, 309
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
GCD of numbers is the greatest common divisor
So, the GCD (699, 136, 309, 280) = 1.
Given numbers are 699, 136, 309, 280
The list of prime factors of all numbers are
Prime factors of 699 are 3 x 233
Prime factors of 136 are 2 x 2 x 2 x 17
Prime factors of 309 are 3 x 103
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 699, 136, 309, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(699, 136) = 95064
GCD(699, 136) = ( 699 x 136 ) / 95064
= 699 / 136
= 699
Step2:
LCM(1, 309) = 309
GCD(1, 309) = ( 1 x 309 ) / 309
= 1 / 309
= 1
Step3:
LCM(1, 280) = 280
GCD(1, 280) = ( 1 x 280 ) / 280
= 1 / 280
= 1
So, Greatest Common Divisor of 699, 136, 309, 280 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 699, 136, 309, 280
The greatest common divisor of numbers 699, 136, 309, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 699, 136, 309, 280 is 1.
1. What is the GCD of 699, 136, 309, 280?
GCD of given numbers 699, 136, 309, 280 is 1
2. How to calculate the greatest common divisor of 699, 136, 309, 280?
We can find the highest common divisor of 699, 136, 309, 280 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 699, 136, 309, 280 i.e 1.
3. How can I use the GCD of 699, 136, 309, 280Calculator?
Out the numbers 699, 136, 309, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.