Online GCD Calculator is useful to find the GCD of 735, 654, 429, 306 quickly. Get the easiest ways to solve the greatest common divisor of 735, 654, 429, 306 i.e 3 in different methods as follows.
Given Input numbers are 735, 654, 429, 306
In the factoring method, we have to find the divisors of all numbers
Divisors of 735 :
The positive integer divisors of 735 that completely divides 735 are.
1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 306 :
The positive integer divisors of 306 that completely divides 306 are.
1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306
GCD of numbers is the greatest common divisor
So, the GCD (735, 654, 429, 306) = 3.
Given numbers are 735, 654, 429, 306
The list of prime factors of all numbers are
Prime factors of 735 are 3 x 5 x 7 x 7
Prime factors of 654 are 2 x 3 x 109
Prime factors of 429 are 3 x 11 x 13
Prime factors of 306 are 2 x 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 735, 654, 429, 306 is 3.
Given numbers are 735, 654, 429, 306
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(735, 654) = 160230
GCD(735, 654) = ( 735 x 654 ) / 160230
= 735 / 654
= 735
Step2:
LCM(3, 429) = 429
GCD(3, 429) = ( 3 x 429 ) / 429
= 3 / 429
= 3
Step3:
LCM(3, 306) = 306
GCD(3, 306) = ( 3 x 306 ) / 306
= 3 / 306
= 3
So, Greatest Common Divisor of 735, 654, 429, 306 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 735, 654, 429, 306
The greatest common divisor of numbers 735, 654, 429, 306 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 654, 429, 306 is 3.
1. What is the GCD of 735, 654, 429, 306?
GCD of given numbers 735, 654, 429, 306 is 3
2. How to calculate the greatest common divisor of 735, 654, 429, 306?
We can find the highest common divisor of 735, 654, 429, 306 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 735, 654, 429, 306 i.e 3.
3. How can I use the GCD of 735, 654, 429, 306Calculator?
Out the numbers 735, 654, 429, 306 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.