Online GCD Calculator is useful to find the GCD of 651, 456, 123, 135 quickly. Get the easiest ways to solve the greatest common divisor of 651, 456, 123, 135 i.e 3 in different methods as follows.
Given Input numbers are 651, 456, 123, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 651 :
The positive integer divisors of 651 that completely divides 651 are.
1, 3, 7, 21, 31, 93, 217, 651
Divisors of 456 :
The positive integer divisors of 456 that completely divides 456 are.
1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456
Divisors of 123 :
The positive integer divisors of 123 that completely divides 123 are.
1, 3, 41, 123
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 (651, 456, 123, 135) = 3.
Given numbers are 651, 456, 123, 135
The list of prime factors of all numbers are
Prime factors of 651 are 3 x 7 x 31
Prime factors of 456 are 2 x 2 x 2 x 3 x 19
Prime factors of 123 are 3 x 41
Prime factors of 135 are 3 x 3 x 3 x 5
The highest common occurrence is 31
Therefore, GCD of 651, 456, 123, 135 is 3.
Given numbers are 651, 456, 123, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(651, 456) = 98952
GCD(651, 456) = ( 651 x 456 ) / 98952
= 651 / 456
= 651
Step2:
LCM(3, 123) = 123
GCD(3, 123) = ( 3 x 123 ) / 123
= 3 / 123
= 3
Step3:
LCM(3, 135) = 135
GCD(3, 135) = ( 3 x 135 ) / 135
= 3 / 135
= 3
So, Greatest Common Divisor of 651, 456, 123, 135 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 651, 456, 123, 135
The greatest common divisor of numbers 651, 456, 123, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 651, 456, 123, 135 is 3.
1. What is the GCD of 651, 456, 123, 135?
GCD of given numbers 651, 456, 123, 135 is 3
2. How to calculate the greatest common divisor of 651, 456, 123, 135?
We can find the highest common divisor of 651, 456, 123, 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 651, 456, 123, 135 i.e 3.
3. How can I use the GCD of 651, 456, 123, 135Calculator?
Out the numbers 651, 456, 123, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.