Online GCD Calculator is useful to find the GCD of 312, 520, 407, 735 quickly. Get the easiest ways to solve the greatest common divisor of 312, 520, 407, 735 i.e 1 in different methods as follows.
Given Input numbers are 312, 520, 407, 735
In the factoring method, we have to find the divisors of all numbers
Divisors of 312 :
The positive integer divisors of 312 that completely divides 312 are.
1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312
Divisors of 520 :
The positive integer divisors of 520 that completely divides 520 are.
1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520
Divisors of 407 :
The positive integer divisors of 407 that completely divides 407 are.
1, 11, 37, 407
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 (312, 520, 407, 735) = 1.
Given numbers are 312, 520, 407, 735
The list of prime factors of all numbers are
Prime factors of 312 are 2 x 2 x 2 x 3 x 13
Prime factors of 520 are 2 x 2 x 2 x 5 x 13
Prime factors of 407 are 11 x 37
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 312, 520, 407, 735
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(312, 520) = 1560
GCD(312, 520) = ( 312 x 520 ) / 1560
= 312 / 520
= 312
Step2:
LCM(104, 407) = 42328
GCD(104, 407) = ( 104 x 407 ) / 42328
= 104 / 407
= 104
Step3:
LCM(1, 735) = 735
GCD(1, 735) = ( 1 x 735 ) / 735
= 1 / 735
= 1
So, Greatest Common Divisor of 312, 520, 407, 735 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 312, 520, 407, 735
The greatest common divisor of numbers 312, 520, 407, 735 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 312, 520, 407, 735 is 1.
1. What is the GCD of 312, 520, 407, 735?
GCD of given numbers 312, 520, 407, 735 is 1
2. How to calculate the greatest common divisor of 312, 520, 407, 735?
We can find the highest common divisor of 312, 520, 407, 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 312, 520, 407, 735 i.e 1.
3. How can I use the GCD of 312, 520, 407, 735Calculator?
Out the numbers 312, 520, 407, 735 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.