GCD of 708, 538, 846, 144 Calculator

Given Input numbers are 708, 538, 846, 144

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

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 538 :

The positive integer divisors of 538 that completely divides 538 are.

1, 2, 269, 538

Divisors of 846 :

The positive integer divisors of 846 that completely divides 846 are.

1, 2, 3, 6, 9, 18, 47, 94, 141, 282, 423, 846

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 (708, 538, 846, 144) = 2.

Given numbers are 708, 538, 846, 144

The list of prime factors of all numbers are

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 538 are 2 x 269

Prime factors of 846 are 2 x 3 x 3 x 47

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

The highest common occurrence is 2¹

Therefore, GCD of 708, 538, 846, 144 is 2.

Given numbers are 708, 538, 846, 144

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

Apply this formula for all numbers.

Step1:

LCM(708, 538) = 190452

GCD(708, 538) = ( 708 x 538 ) / 190452

= 708 / 538

= 708

Step2:

LCM(2, 846) = 846

GCD(2, 846) = ( 2 x 846 ) / 846

= 2 / 846

= 2

Step3:

LCM(2, 144) = 144

GCD(2, 144) = ( 2 x 144 ) / 144

= 2 / 144

= 2

So, Greatest Common Divisor of 708, 538, 846, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 374, 334, 534, 982
• GCD of 891, 878, 498, 959
• GCD of 542, 272, 218, 717
• GCD of 144, 541, 413, 673
• GCD of 109, 370, 408, 489

Given numbers are 708, 538, 846, 144
The greatest common divisor of numbers 708, 538, 846, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 708, 538, 846, 144 is 2.

1. What is the GCD of 708, 538, 846, 144?

GCD of given numbers 708, 538, 846, 144 is 2

2. How to calculate the greatest common divisor of 708, 538, 846, 144?

We can find the highest common divisor of 708, 538, 846, 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 708, 538, 846, 144 i.e 2.

3. How can I use the GCD of 708, 538, 846, 144Calculator?

Out the numbers 708, 538, 846, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.