GCD of 144, 860, 704, 710 Calculator

Given Input numbers are 144, 860, 704, 710

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

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 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

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 710 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (144, 860, 704, 710) = 2.

Given numbers are 144, 860, 704, 710

The list of prime factors of all numbers are

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

Prime factors of 860 are 2 x 2 x 5 x 43

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

Prime factors of 710 are 2 x 5 x 71

The highest common occurrence is 2¹

Therefore, GCD of 144, 860, 704, 710 is 2.

Given numbers are 144, 860, 704, 710

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

Apply this formula for all numbers.

Step1:

LCM(144, 860) = 30960

GCD(144, 860) = ( 144 x 860 ) / 30960

= 144 / 860

= 144

Step2:

LCM(4, 704) = 704

GCD(4, 704) = ( 4 x 704 ) / 704

= 4 / 704

= 4

Step3:

LCM(4, 710) = 1420

GCD(4, 710) = ( 4 x 710 ) / 1420

= 4 / 710

= 4

So, Greatest Common Divisor of 144, 860, 704, 710 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 873, 490, 572, 171
• GCD of 192, 580, 932, 344
• GCD of 396, 324, 178, 868
• GCD of 241, 792, 696, 728
• GCD of 872, 412, 277, 797

Given numbers are 144, 860, 704, 710
The greatest common divisor of numbers 144, 860, 704, 710 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 860, 704, 710 is 2.

1. What is the GCD of 144, 860, 704, 710?

GCD of given numbers 144, 860, 704, 710 is 2

2. How to calculate the greatest common divisor of 144, 860, 704, 710?

We can find the highest common divisor of 144, 860, 704, 710 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 144, 860, 704, 710 i.e 2.

3. How can I use the GCD of 144, 860, 704, 710Calculator?

Out the numbers 144, 860, 704, 710 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.