GCD of 441, 616, 413 Calculator

Given Input numbers are 441, 616, 413

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

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 413 :

The positive integer divisors of 413 that completely divides 413 are.

1, 7, 59, 413

GCD of numbers is the greatest common divisor

So, the GCD (441, 616, 413) = 7.

Given numbers are 441, 616, 413

The list of prime factors of all numbers are

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 413 are 7 x 59

The highest common occurrence is 7¹

Therefore, GCD of 441, 616, 413 is 7.

Given numbers are 441, 616, 413

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

Apply this formula for all numbers.

Step1:

LCM(441, 616) = 38808

GCD(441, 616) = ( 441 x 616 ) / 38808

= 441 / 616

= 441

Step2:

LCM(7, 413) = 413

GCD(7, 413) = ( 7 x 413 ) / 413

= 7 / 413

= 7

So, Greatest Common Divisor of 441, 616, 413 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 774, 247, 860
• GCD of 949, 899, 822
• GCD of 640, 675, 384
• GCD of 875, 219, 305
• GCD of 606, 493, 631

Given numbers are 441, 616, 413
The greatest common divisor of numbers 441, 616, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 616, 413 is 7.

1. What is the GCD of 441, 616, 413?

GCD of given numbers 441, 616, 413 is 7

2. How to calculate the greatest common divisor of 441, 616, 413?

We can find the highest common divisor of 441, 616, 413 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 441, 616, 413 i.e 7.

3. How can I use the GCD of 441, 616, 413Calculator?

Out the numbers 441, 616, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.