GCD of 496, 708, 524, 441 Calculator

Given Input numbers are 496, 708, 524, 441

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 441 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (496, 708, 524, 441) = 1.

Given numbers are 496, 708, 524, 441

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 524 are 2 x 2 x 131

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

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 496, 708, 524, 441

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

Apply this formula for all numbers.

Step1:

LCM(496, 708) = 87792

GCD(496, 708) = ( 496 x 708 ) / 87792

= 496 / 708

= 496

Step2:

LCM(4, 524) = 524

GCD(4, 524) = ( 4 x 524 ) / 524

= 4 / 524

= 4

Step3:

LCM(4, 441) = 1764

GCD(4, 441) = ( 4 x 441 ) / 1764

= 4 / 441

= 4

So, Greatest Common Divisor of 496, 708, 524, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 901, 521, 272
• GCD of 684, 396, 876, 313
• GCD of 570, 601, 358, 642
• GCD of 199, 318, 462, 466
• GCD of 102, 720, 410, 445

Given numbers are 496, 708, 524, 441
The greatest common divisor of numbers 496, 708, 524, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 708, 524, 441 is 1.

1. What is the GCD of 496, 708, 524, 441?

GCD of given numbers 496, 708, 524, 441 is 1

2. How to calculate the greatest common divisor of 496, 708, 524, 441?

We can find the highest common divisor of 496, 708, 524, 441 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 496, 708, 524, 441 i.e 1.

3. How can I use the GCD of 496, 708, 524, 441Calculator?

Out the numbers 496, 708, 524, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.