Online GCD Calculator is useful to find the GCD of 678, 292, 750, 135 quickly. Get the easiest ways to solve the greatest common divisor of 678, 292, 750, 135 i.e 1 in different methods as follows.
Given Input numbers are 678, 292, 750, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 678 :
The positive integer divisors of 678 that completely divides 678 are.
1, 2, 3, 6, 113, 226, 339, 678
Divisors of 292 :
The positive integer divisors of 292 that completely divides 292 are.
1, 2, 4, 73, 146, 292
Divisors of 750 :
The positive integer divisors of 750 that completely divides 750 are.
1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (678, 292, 750, 135) = 1.
Given numbers are 678, 292, 750, 135
The list of prime factors of all numbers are
Prime factors of 678 are 2 x 3 x 113
Prime factors of 292 are 2 x 2 x 73
Prime factors of 750 are 2 x 3 x 5 x 5 x 5
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 678, 292, 750, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(678, 292) = 98988
GCD(678, 292) = ( 678 x 292 ) / 98988
= 678 / 292
= 678
Step2:
LCM(2, 750) = 750
GCD(2, 750) = ( 2 x 750 ) / 750
= 2 / 750
= 2
Step3:
LCM(2, 135) = 270
GCD(2, 135) = ( 2 x 135 ) / 270
= 2 / 135
= 2
So, Greatest Common Divisor of 678, 292, 750, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 678, 292, 750, 135
The greatest common divisor of numbers 678, 292, 750, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 292, 750, 135 is 1.
1. What is the GCD of 678, 292, 750, 135?
GCD of given numbers 678, 292, 750, 135 is 1
2. How to calculate the greatest common divisor of 678, 292, 750, 135?
We can find the highest common divisor of 678, 292, 750, 135 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 678, 292, 750, 135 i.e 1.
3. How can I use the GCD of 678, 292, 750, 135Calculator?
Out the numbers 678, 292, 750, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.