GCD of 842, 712, 628, 144 Calculator

Given Input numbers are 842, 712, 628, 144

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

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 (842, 712, 628, 144) = 2.

Given numbers are 842, 712, 628, 144

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 628 are 2 x 2 x 157

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 842, 712, 628, 144 is 2.

Given numbers are 842, 712, 628, 144

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

Apply this formula for all numbers.

Step1:

LCM(842, 712) = 299752

GCD(842, 712) = ( 842 x 712 ) / 299752

= 842 / 712

= 842

Step2:

LCM(2, 628) = 628

GCD(2, 628) = ( 2 x 628 ) / 628

= 2 / 628

= 2

Step3:

LCM(2, 144) = 144

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

= 2 / 144

= 2

So, Greatest Common Divisor of 842, 712, 628, 144 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 540, 876, 347
• GCD of 377, 555, 762, 450
• GCD of 227, 315, 401, 741
• GCD of 519, 755, 755, 137
• GCD of 708, 753, 497, 537

Given numbers are 842, 712, 628, 144
The greatest common divisor of numbers 842, 712, 628, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 712, 628, 144 is 2.

1. What is the GCD of 842, 712, 628, 144?

GCD of given numbers 842, 712, 628, 144 is 2

2. How to calculate the greatest common divisor of 842, 712, 628, 144?

We can find the highest common divisor of 842, 712, 628, 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 842, 712, 628, 144 i.e 2.

3. How can I use the GCD of 842, 712, 628, 144Calculator?

Out the numbers 842, 712, 628, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.