GCD of 144, 752, 352, 682 Calculator

Given Input numbers are 144, 752, 352, 682

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 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 352 :

The positive integer divisors of 352 that completely divides 352 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (144, 752, 352, 682) = 2.

Given numbers are 144, 752, 352, 682

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 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 144, 752, 352, 682 is 2.

Given numbers are 144, 752, 352, 682

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

Apply this formula for all numbers.

Step1:

LCM(144, 752) = 6768

GCD(144, 752) = ( 144 x 752 ) / 6768

= 144 / 752

= 144

Step2:

LCM(16, 352) = 352

GCD(16, 352) = ( 16 x 352 ) / 352

= 16 / 352

= 16

Step3:

LCM(16, 682) = 5456

GCD(16, 682) = ( 16 x 682 ) / 5456

= 16 / 682

= 16

So, Greatest Common Divisor of 144, 752, 352, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 621, 730, 690, 108
• GCD of 370, 114, 541, 392
• GCD of 187, 279, 884, 616
• GCD of 604, 179, 193, 872
• GCD of 206, 991, 611, 906

Given numbers are 144, 752, 352, 682
The greatest common divisor of numbers 144, 752, 352, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 752, 352, 682 is 2.

1. What is the GCD of 144, 752, 352, 682?

GCD of given numbers 144, 752, 352, 682 is 2

2. How to calculate the greatest common divisor of 144, 752, 352, 682?

We can find the highest common divisor of 144, 752, 352, 682 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, 752, 352, 682 i.e 2.

3. How can I use the GCD of 144, 752, 352, 682Calculator?

Out the numbers 144, 752, 352, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.