Online GCD Calculator is useful to find the GCD of 108, 784, 688, 353 quickly. Get the easiest ways to solve the greatest common divisor of 108, 784, 688, 353 i.e 1 in different methods as follows.
Given Input numbers are 108, 784, 688, 353
In the factoring method, we have to find the divisors of all numbers
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 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
Divisors of 688 :
The positive integer divisors of 688 that completely divides 688 are.
1, 2, 4, 8, 16, 43, 86, 172, 344, 688
Divisors of 353 :
The positive integer divisors of 353 that completely divides 353 are.
1, 353
GCD of numbers is the greatest common divisor
So, the GCD (108, 784, 688, 353) = 1.
Given numbers are 108, 784, 688, 353
The list of prime factors of all numbers are
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
Prime factors of 688 are 2 x 2 x 2 x 2 x 43
Prime factors of 353 are 353
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 108, 784, 688, 353
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(108, 784) = 21168
GCD(108, 784) = ( 108 x 784 ) / 21168
= 108 / 784
= 108
Step2:
LCM(4, 688) = 688
GCD(4, 688) = ( 4 x 688 ) / 688
= 4 / 688
= 4
Step3:
LCM(4, 353) = 1412
GCD(4, 353) = ( 4 x 353 ) / 1412
= 4 / 353
= 4
So, Greatest Common Divisor of 108, 784, 688, 353 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 108, 784, 688, 353
The greatest common divisor of numbers 108, 784, 688, 353 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 108, 784, 688, 353 is 1.
1. What is the GCD of 108, 784, 688, 353?
GCD of given numbers 108, 784, 688, 353 is 1
2. How to calculate the greatest common divisor of 108, 784, 688, 353?
We can find the highest common divisor of 108, 784, 688, 353 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 108, 784, 688, 353 i.e 1.
3. How can I use the GCD of 108, 784, 688, 353Calculator?
Out the numbers 108, 784, 688, 353 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.