GCD of 144, 742, 848, 166 Calculator

Given Input numbers are 144, 742, 848, 166

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 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

Divisors of 166 :

The positive integer divisors of 166 that completely divides 166 are.

1, 2, 83, 166

GCD of numbers is the greatest common divisor

So, the GCD (144, 742, 848, 166) = 2.

Given numbers are 144, 742, 848, 166

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 742 are 2 x 7 x 53

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

Prime factors of 166 are 2 x 83

The highest common occurrence is 2¹

Therefore, GCD of 144, 742, 848, 166 is 2.

Given numbers are 144, 742, 848, 166

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

Apply this formula for all numbers.

Step1:

LCM(144, 742) = 53424

GCD(144, 742) = ( 144 x 742 ) / 53424

= 144 / 742

= 144

Step2:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

Step3:

LCM(2, 166) = 166

GCD(2, 166) = ( 2 x 166 ) / 166

= 2 / 166

= 2

So, Greatest Common Divisor of 144, 742, 848, 166 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 673, 556, 720
• GCD of 129, 905, 299, 383
• GCD of 811, 313, 109, 655
• GCD of 328, 763, 966, 463
• GCD of 901, 681, 683, 507

Given numbers are 144, 742, 848, 166
The greatest common divisor of numbers 144, 742, 848, 166 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 742, 848, 166 is 2.

1. What is the GCD of 144, 742, 848, 166?

GCD of given numbers 144, 742, 848, 166 is 2

2. How to calculate the greatest common divisor of 144, 742, 848, 166?

We can find the highest common divisor of 144, 742, 848, 166 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, 742, 848, 166 i.e 2.

3. How can I use the GCD of 144, 742, 848, 166Calculator?

Out the numbers 144, 742, 848, 166 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.