Online GCD Calculator is useful to find the GCD of 747, 429, 872, 315 quickly. Get the easiest ways to solve the greatest common divisor of 747, 429, 872, 315 i.e 1 in different methods as follows.
Given Input numbers are 747, 429, 872, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
Divisors of 429 :
The positive integer divisors of 429 that completely divides 429 are.
1, 3, 11, 13, 33, 39, 143, 429
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (747, 429, 872, 315) = 1.
Given numbers are 747, 429, 872, 315
The list of prime factors of all numbers are
Prime factors of 747 are 3 x 3 x 83
Prime factors of 429 are 3 x 11 x 13
Prime factors of 872 are 2 x 2 x 2 x 109
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 747, 429, 872, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(747, 429) = 106821
GCD(747, 429) = ( 747 x 429 ) / 106821
= 747 / 429
= 747
Step2:
LCM(3, 872) = 2616
GCD(3, 872) = ( 3 x 872 ) / 2616
= 3 / 872
= 3
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 747, 429, 872, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 747, 429, 872, 315
The greatest common divisor of numbers 747, 429, 872, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 747, 429, 872, 315 is 1.
1. What is the GCD of 747, 429, 872, 315?
GCD of given numbers 747, 429, 872, 315 is 1
2. How to calculate the greatest common divisor of 747, 429, 872, 315?
We can find the highest common divisor of 747, 429, 872, 315 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 747, 429, 872, 315 i.e 1.
3. How can I use the GCD of 747, 429, 872, 315Calculator?
Out the numbers 747, 429, 872, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.