GCD of 878, 364, 705, 144 Calculator

Given Input numbers are 878, 364, 705, 144

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

Divisors of 878 :

The positive integer divisors of 878 that completely divides 878 are.

1, 2, 439, 878

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

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

GCD of numbers is the greatest common divisor

So, the GCD (878, 364, 705, 144) = 1.

Given numbers are 878, 364, 705, 144

The list of prime factors of all numbers are

Prime factors of 878 are 2 x 439

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 705 are 3 x 5 x 47

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

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

Given numbers are 878, 364, 705, 144

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

Apply this formula for all numbers.

Step1:

LCM(878, 364) = 159796

GCD(878, 364) = ( 878 x 364 ) / 159796

= 878 / 364

= 878

Step2:

LCM(2, 705) = 1410

GCD(2, 705) = ( 2 x 705 ) / 1410

= 2 / 705

= 2

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 878, 364, 705, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 505, 439, 343
• GCD of 404, 419, 406, 960
• GCD of 523, 734, 877, 564
• GCD of 564, 437, 180, 589
• GCD of 533, 602, 952, 332

Given numbers are 878, 364, 705, 144
The greatest common divisor of numbers 878, 364, 705, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 878, 364, 705, 144 is 1.

1. What is the GCD of 878, 364, 705, 144?

GCD of given numbers 878, 364, 705, 144 is 1

2. How to calculate the greatest common divisor of 878, 364, 705, 144?

We can find the highest common divisor of 878, 364, 705, 144 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 878, 364, 705, 144 i.e 1.

3. How can I use the GCD of 878, 364, 705, 144Calculator?

Out the numbers 878, 364, 705, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.