GCD of 710, 488, 896, 448 Calculator

Given Input numbers are 710, 488, 896, 448

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

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 488 :

The positive integer divisors of 488 that completely divides 488 are.

1, 2, 4, 8, 61, 122, 244, 488

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 448 :

The positive integer divisors of 448 that completely divides 448 are.

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

GCD of numbers is the greatest common divisor

So, the GCD (710, 488, 896, 448) = 2.

Given numbers are 710, 488, 896, 448

The list of prime factors of all numbers are

Prime factors of 710 are 2 x 5 x 71

Prime factors of 488 are 2 x 2 x 2 x 61

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

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 710, 488, 896, 448 is 2.

Given numbers are 710, 488, 896, 448

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

Apply this formula for all numbers.

Step1:

LCM(710, 488) = 173240

GCD(710, 488) = ( 710 x 488 ) / 173240

= 710 / 488

= 710

Step2:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 710, 488, 896, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 183, 673, 969, 922
• GCD of 346, 444, 213, 787
• GCD of 210, 213, 665, 876
• GCD of 902, 969, 210, 419
• GCD of 725, 376, 821, 132

Given numbers are 710, 488, 896, 448
The greatest common divisor of numbers 710, 488, 896, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 488, 896, 448 is 2.

1. What is the GCD of 710, 488, 896, 448?

GCD of given numbers 710, 488, 896, 448 is 2

2. How to calculate the greatest common divisor of 710, 488, 896, 448?

We can find the highest common divisor of 710, 488, 896, 448 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 710, 488, 896, 448 i.e 2.

3. How can I use the GCD of 710, 488, 896, 448Calculator?

Out the numbers 710, 488, 896, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.