GCD of 315, 456, 741 Calculator

Given Input numbers are 315, 456, 741

In the factoring method, we have to find the divisors of all numbers

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

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 741 :

The positive integer divisors of 741 that completely divides 741 are.

1, 3, 13, 19, 39, 57, 247, 741

GCD of numbers is the greatest common divisor

So, the GCD (315, 456, 741) = 3.

Given numbers are 315, 456, 741

The list of prime factors of all numbers are

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

Prime factors of 741 are 3 x 13 x 19

The highest common occurrence is 3¹

Therefore, GCD of 315, 456, 741 is 3.

Given numbers are 315, 456, 741

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(315, 456) = 47880

GCD(315, 456) = ( 315 x 456 ) / 47880

= 315 / 456

= 315

Step2:

LCM(3, 741) = 741

GCD(3, 741) = ( 3 x 741 ) / 741

= 3 / 741

= 3

So, Greatest Common Divisor of 315, 456, 741 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 835, 318, 450
• GCD of 268, 882, 816
• GCD of 443, 502, 269
• GCD of 566, 753, 859
• GCD of 374, 950, 327

Given numbers are 315, 456, 741
The greatest common divisor of numbers 315, 456, 741 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 315, 456, 741 is 3.

1. What is the GCD of 315, 456, 741?

GCD of given numbers 315, 456, 741 is 3

2. How to calculate the greatest common divisor of 315, 456, 741?

We can find the highest common divisor of 315, 456, 741 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 315, 456, 741 i.e 3.

3. How can I use the GCD of 315, 456, 741Calculator?

Out the numbers 315, 456, 741 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.