Online GCD Calculator is useful to find the GCD of 109, 788, 614, 490 quickly. Get the easiest ways to solve the greatest common divisor of 109, 788, 614, 490 i.e 1 in different methods as follows.
Given Input numbers are 109, 788, 614, 490
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 788 :
The positive integer divisors of 788 that completely divides 788 are.
1, 2, 4, 197, 394, 788
Divisors of 614 :
The positive integer divisors of 614 that completely divides 614 are.
1, 2, 307, 614
Divisors of 490 :
The positive integer divisors of 490 that completely divides 490 are.
1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490
GCD of numbers is the greatest common divisor
So, the GCD (109, 788, 614, 490) = 1.
Given numbers are 109, 788, 614, 490
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 788 are 2 x 2 x 197
Prime factors of 614 are 2 x 307
Prime factors of 490 are 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 788, 614, 490
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 788) = 85892
GCD(109, 788) = ( 109 x 788 ) / 85892
= 109 / 788
= 109
Step2:
LCM(1, 614) = 614
GCD(1, 614) = ( 1 x 614 ) / 614
= 1 / 614
= 1
Step3:
LCM(1, 490) = 490
GCD(1, 490) = ( 1 x 490 ) / 490
= 1 / 490
= 1
So, Greatest Common Divisor of 109, 788, 614, 490 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 788, 614, 490
The greatest common divisor of numbers 109, 788, 614, 490 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 788, 614, 490 is 1.
1. What is the GCD of 109, 788, 614, 490?
GCD of given numbers 109, 788, 614, 490 is 1
2. How to calculate the greatest common divisor of 109, 788, 614, 490?
We can find the highest common divisor of 109, 788, 614, 490 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 109, 788, 614, 490 i.e 1.
3. How can I use the GCD of 109, 788, 614, 490Calculator?
Out the numbers 109, 788, 614, 490 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.