Online GCD Calculator is useful to find the GCD of 135, 748, 834, 336 quickly. Get the easiest ways to solve the greatest common divisor of 135, 748, 834, 336 i.e 1 in different methods as follows.
Given Input numbers are 135, 748, 834, 336
In the factoring method, we have to find the divisors of all numbers
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
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
Divisors of 834 :
The positive integer divisors of 834 that completely divides 834 are.
1, 2, 3, 6, 139, 278, 417, 834
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 (135, 748, 834, 336) = 1.
Given numbers are 135, 748, 834, 336
The list of prime factors of all numbers are
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 834 are 2 x 3 x 139
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 135, 748, 834, 336
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(135, 748) = 100980
GCD(135, 748) = ( 135 x 748 ) / 100980
= 135 / 748
= 135
Step2:
LCM(1, 834) = 834
GCD(1, 834) = ( 1 x 834 ) / 834
= 1 / 834
= 1
Step3:
LCM(1, 336) = 336
GCD(1, 336) = ( 1 x 336 ) / 336
= 1 / 336
= 1
So, Greatest Common Divisor of 135, 748, 834, 336 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 135, 748, 834, 336
The greatest common divisor of numbers 135, 748, 834, 336 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 135, 748, 834, 336 is 1.
1. What is the GCD of 135, 748, 834, 336?
GCD of given numbers 135, 748, 834, 336 is 1
2. How to calculate the greatest common divisor of 135, 748, 834, 336?
We can find the highest common divisor of 135, 748, 834, 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 135, 748, 834, 336 i.e 1.
3. How can I use the GCD of 135, 748, 834, 336Calculator?
Out the numbers 135, 748, 834, 336 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.