Online GCD Calculator is useful to find the GCD of 760, 209, 108, 336 quickly. Get the easiest ways to solve the greatest common divisor of 760, 209, 108, 336 i.e 1 in different methods as follows.
Given Input numbers are 760, 209, 108, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 760 :
The positive integer divisors of 760 that completely divides 760 are.
1, 2, 4, 5, 8, 10, 19, 20, 38, 40, 76, 95, 152, 190, 380, 760
Divisors of 209 :
The positive integer divisors of 209 that completely divides 209 are.
1, 11, 19, 209
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 336 :
The positive integer divisors of 336 that completely divides 336 are.
1, 2, 3, 4, 6, 7, 8, 12, 14, 16, 21, 24, 28, 42, 48, 56, 84, 112, 168, 336
GCD of numbers is the greatest common divisor
So, the GCD (760, 209, 108, 336) = 1.
Given numbers are 760, 209, 108, 336
The list of prime factors of all numbers are
Prime factors of 760 are 2 x 2 x 2 x 5 x 19
Prime factors of 209 are 11 x 19
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 760, 209, 108, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(760, 209) = 8360
GCD(760, 209) = ( 760 x 209 ) / 8360
= 760 / 209
= 760
Step2:
LCM(19, 108) = 2052
GCD(19, 108) = ( 19 x 108 ) / 2052
= 19 / 108
= 19
Step3:
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
= 1 / 336
= 1
So, Greatest Common Divisor of 760, 209, 108, 336 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 760, 209, 108, 336
The greatest common divisor of numbers 760, 209, 108, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 760, 209, 108, 336 is 1.
1. What is the GCD of 760, 209, 108, 336?
GCD of given numbers 760, 209, 108, 336 is 1
2. How to calculate the greatest common divisor of 760, 209, 108, 336?
We can find the highest common divisor of 760, 209, 108, 336 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 760, 209, 108, 336 i.e 1.
3. How can I use the GCD of 760, 209, 108, 336Calculator?
Out the numbers 760, 209, 108, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.