Online GCD Calculator is useful to find the GCD of 336, 677, 119, 748 quickly. Get the easiest ways to solve the greatest common divisor of 336, 677, 119, 748 i.e 1 in different methods as follows.
Given Input numbers are 336, 677, 119, 748
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
GCD of numbers is the greatest common divisor
So, the GCD (336, 677, 119, 748) = 1.
Given numbers are 336, 677, 119, 748
The list of prime factors of all numbers are
Prime factors of 336 are 2 x 2 x 2 x 2 x 3 x 7
Prime factors of 677 are 677
Prime factors of 119 are 7 x 17
Prime factors of 748 are 2 x 2 x 11 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 336, 677, 119, 748
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(336, 677) = 227472
GCD(336, 677) = ( 336 x 677 ) / 227472
= 336 / 677
= 336
Step2:
LCM(1, 119) = 119
GCD(1, 119) = ( 1 x 119 ) / 119
= 1 / 119
= 1
Step3:
LCM(1, 748) = 748
GCD(1, 748) = ( 1 x 748 ) / 748
= 1 / 748
= 1
So, Greatest Common Divisor of 336, 677, 119, 748 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 336, 677, 119, 748
The greatest common divisor of numbers 336, 677, 119, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 336, 677, 119, 748 is 1.
1. What is the GCD of 336, 677, 119, 748?
GCD of given numbers 336, 677, 119, 748 is 1
2. How to calculate the greatest common divisor of 336, 677, 119, 748?
We can find the highest common divisor of 336, 677, 119, 748 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 336, 677, 119, 748 i.e 1.
3. How can I use the GCD of 336, 677, 119, 748Calculator?
Out the numbers 336, 677, 119, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.