Online GCD Calculator is useful to find the GCD of 693, 308, 119, 336 quickly. Get the easiest ways to solve the greatest common divisor of 693, 308, 119, 336 i.e 7 in different methods as follows.
Given Input numbers are 693, 308, 119, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
Divisors of 308 :
The positive integer divisors of 308 that completely divides 308 are.
1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
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 (693, 308, 119, 336) = 7.
Given numbers are 693, 308, 119, 336
The list of prime factors of all numbers are
Prime factors of 693 are 3 x 3 x 7 x 11
Prime factors of 308 are 2 x 2 x 7 x 11
Prime factors of 119 are 7 x 17
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
The highest common occurrence is 71
Therefore, GCD of 693, 308, 119, 336 is 7.
Given numbers are 693, 308, 119, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(693, 308) = 2772
GCD(693, 308) = ( 693 x 308 ) / 2772
= 693 / 308
= 693
Step2:
LCM(77, 119) = 1309
GCD(77, 119) = ( 77 x 119 ) / 1309
= 77 / 119
= 77
Step3:
LCM(7, 336) = 336
GCD(7, 336) = ( 7 x 336 ) / 336
= 7 / 336
= 7
So, Greatest Common Divisor of 693, 308, 119, 336 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 693, 308, 119, 336
The greatest common divisor of numbers 693, 308, 119, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 693, 308, 119, 336 is 7.
1. What is the GCD of 693, 308, 119, 336?
GCD of given numbers 693, 308, 119, 336 is 7
2. How to calculate the greatest common divisor of 693, 308, 119, 336?
We can find the highest common divisor of 693, 308, 119, 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 693, 308, 119, 336 i.e 7.
3. How can I use the GCD of 693, 308, 119, 336Calculator?
Out the numbers 693, 308, 119, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.