GCD of 496, 704, 576, 602 Calculator

Given Input numbers are 496, 704, 576, 602

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 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 576 :

The positive integer divisors of 576 that completely divides 576 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 64, 72, 96, 144, 192, 288, 576

Divisors of 602 :

The positive integer divisors of 602 that completely divides 602 are.

1, 2, 7, 14, 43, 86, 301, 602

GCD of numbers is the greatest common divisor

So, the GCD (496, 704, 576, 602) = 2.

Given numbers are 496, 704, 576, 602

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 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 576 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 602 are 2 x 7 x 43

The highest common occurrence is 2¹

Therefore, GCD of 496, 704, 576, 602 is 2.

Given numbers are 496, 704, 576, 602

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

Apply this formula for all numbers.

Step1:

LCM(496, 704) = 21824

GCD(496, 704) = ( 496 x 704 ) / 21824

= 496 / 704

= 496

Step2:

LCM(16, 576) = 576

GCD(16, 576) = ( 16 x 576 ) / 576

= 16 / 576

= 16

Step3:

LCM(16, 602) = 4816

GCD(16, 602) = ( 16 x 602 ) / 4816

= 16 / 602

= 16

So, Greatest Common Divisor of 496, 704, 576, 602 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 879, 285, 932, 114
• GCD of 877, 666, 716, 442
• GCD of 525, 937, 214, 451
• GCD of 343, 339, 825, 957
• GCD of 843, 776, 173, 977

Given numbers are 496, 704, 576, 602
The greatest common divisor of numbers 496, 704, 576, 602 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 704, 576, 602 is 2.

1. What is the GCD of 496, 704, 576, 602?

GCD of given numbers 496, 704, 576, 602 is 2

2. How to calculate the greatest common divisor of 496, 704, 576, 602?

We can find the highest common divisor of 496, 704, 576, 602 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, 704, 576, 602 i.e 2.

3. How can I use the GCD of 496, 704, 576, 602Calculator?

Out the numbers 496, 704, 576, 602 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.