GCD of 830, 770, 792, 144 Calculator

Given Input numbers are 830, 770, 792, 144

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

Divisors of 830 :

The positive integer divisors of 830 that completely divides 830 are.

1, 2, 5, 10, 83, 166, 415, 830

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

Divisors of 792 :

The positive integer divisors of 792 that completely divides 792 are.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792

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 (830, 770, 792, 144) = 2.

Given numbers are 830, 770, 792, 144

The list of prime factors of all numbers are

Prime factors of 830 are 2 x 5 x 83

Prime factors of 770 are 2 x 5 x 7 x 11

Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11

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 830, 770, 792, 144 is 2.

Given numbers are 830, 770, 792, 144

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

Apply this formula for all numbers.

Step1:

LCM(830, 770) = 63910

GCD(830, 770) = ( 830 x 770 ) / 63910

= 830 / 770

= 830

Step2:

LCM(10, 792) = 3960

GCD(10, 792) = ( 10 x 792 ) / 3960

= 10 / 792

= 10

Step3:

LCM(2, 144) = 144

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

= 2 / 144

= 2

So, Greatest Common Divisor of 830, 770, 792, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 699, 830, 953
• GCD of 241, 714, 856, 714
• GCD of 116, 976, 762, 758
• GCD of 802, 120, 532, 441
• GCD of 465, 977, 571, 814

Given numbers are 830, 770, 792, 144
The greatest common divisor of numbers 830, 770, 792, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 830, 770, 792, 144 is 2.

1. What is the GCD of 830, 770, 792, 144?

GCD of given numbers 830, 770, 792, 144 is 2

2. How to calculate the greatest common divisor of 830, 770, 792, 144?

We can find the highest common divisor of 830, 770, 792, 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 830, 770, 792, 144 i.e 2.

3. How can I use the GCD of 830, 770, 792, 144Calculator?

Out the numbers 830, 770, 792, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.