Online GCD Calculator is useful to find the GCD of 484, 429, 387, 735 quickly. Get the easiest ways to solve the greatest common divisor of 484, 429, 387, 735 i.e 1 in different methods as follows.
Given Input numbers are 484, 429, 387, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 484 :
The positive integer divisors of 484 that completely divides 484 are.
1, 2, 4, 11, 22, 44, 121, 242, 484
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 387 :
The positive integer divisors of 387 that completely divides 387 are.
1, 3, 9, 43, 129, 387
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
GCD of numbers is the greatest common divisor
So, the GCD (484, 429, 387, 735) = 1.
Given numbers are 484, 429, 387, 735
The list of prime factors of all numbers are
Prime factors of 484 are 2 x 2 x 11 x 11
Prime factors of 429 are 3 x 11 x 13
Prime factors of 387 are 3 x 3 x 43
Prime factors of 735 are 3 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 484, 429, 387, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(484, 429) = 18876
GCD(484, 429) = ( 484 x 429 ) / 18876
= 484 / 429
= 484
Step2:
LCM(11, 387) = 4257
GCD(11, 387) = ( 11 x 387 ) / 4257
= 11 / 387
= 11
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 484, 429, 387, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 484, 429, 387, 735
The greatest common divisor of numbers 484, 429, 387, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 429, 387, 735 is 1.
1. What is the GCD of 484, 429, 387, 735?
GCD of given numbers 484, 429, 387, 735 is 1
2. How to calculate the greatest common divisor of 484, 429, 387, 735?
We can find the highest common divisor of 484, 429, 387, 735 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 484, 429, 387, 735 i.e 1.
3. How can I use the GCD of 484, 429, 387, 735Calculator?
Out the numbers 484, 429, 387, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.