GCD of 704, 460, 144, 847 Calculator

Given Input numbers are 704, 460, 144, 847

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

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 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

Divisors of 847 :

The positive integer divisors of 847 that completely divides 847 are.

1, 7, 11, 77, 121, 847

GCD of numbers is the greatest common divisor

So, the GCD (704, 460, 144, 847) = 1.

Given numbers are 704, 460, 144, 847

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 847 are 7 x 11 x 11

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

Given numbers are 704, 460, 144, 847

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

Apply this formula for all numbers.

Step1:

LCM(704, 460) = 80960

GCD(704, 460) = ( 704 x 460 ) / 80960

= 704 / 460

= 704

Step2:

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

= 4 / 144

= 4

Step3:

LCM(4, 847) = 3388

GCD(4, 847) = ( 4 x 847 ) / 3388

= 4 / 847

= 4

So, Greatest Common Divisor of 704, 460, 144, 847 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 440, 971, 395, 694
• GCD of 455, 734, 261, 622
• GCD of 576, 391, 605, 823
• GCD of 494, 139, 836, 756
• GCD of 661, 745, 716, 154

Given numbers are 704, 460, 144, 847
The greatest common divisor of numbers 704, 460, 144, 847 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 460, 144, 847 is 1.

1. What is the GCD of 704, 460, 144, 847?

GCD of given numbers 704, 460, 144, 847 is 1

2. How to calculate the greatest common divisor of 704, 460, 144, 847?

We can find the highest common divisor of 704, 460, 144, 847 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 704, 460, 144, 847 i.e 1.

3. How can I use the GCD of 704, 460, 144, 847Calculator?

Out the numbers 704, 460, 144, 847 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.