GCD of 896, 712, 508 Calculator

Given Input numbers are 896, 712, 508

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

GCD of numbers is the greatest common divisor

So, the GCD (896, 712, 508) = 4.

Given numbers are 896, 712, 508

The list of prime factors of all numbers are

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 508 are 2 x 2 x 127

The highest common occurrence is 2²

Therefore, GCD of 896, 712, 508 is 4.

Given numbers are 896, 712, 508

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

Apply this formula for all numbers.

Step1:

LCM(896, 712) = 79744

GCD(896, 712) = ( 896 x 712 ) / 79744

= 896 / 712

= 896

Step2:

LCM(8, 508) = 1016

GCD(8, 508) = ( 8 x 508 ) / 1016

= 8 / 508

= 8

So, Greatest Common Divisor of 896, 712, 508 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 918, 855, 422
• GCD of 881, 277, 717
• GCD of 281, 783, 417
• GCD of 221, 723, 350
• GCD of 379, 134, 194

Given numbers are 896, 712, 508
The greatest common divisor of numbers 896, 712, 508 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 896, 712, 508 is 4.

1. What is the GCD of 896, 712, 508?

GCD of given numbers 896, 712, 508 is 4

2. How to calculate the greatest common divisor of 896, 712, 508?

We can find the highest common divisor of 896, 712, 508 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 896, 712, 508 i.e 4.

3. How can I use the GCD of 896, 712, 508Calculator?

Out the numbers 896, 712, 508 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.