GCD of 144, 698, 48, 412 Calculator

Given Input numbers are 144, 698, 48, 412

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 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 48 :

The positive integer divisors of 48 that completely divides 48 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

GCD of numbers is the greatest common divisor

So, the GCD (144, 698, 48, 412) = 2.

Given numbers are 144, 698, 48, 412

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 698 are 2 x 349

Prime factors of 48 are 2 x 2 x 2 x 2 x 3

Prime factors of 412 are 2 x 2 x 103

The highest common occurrence is 2¹

Therefore, GCD of 144, 698, 48, 412 is 2.

Given numbers are 144, 698, 48, 412

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

Apply this formula for all numbers.

Step1:

LCM(144, 698) = 50256

GCD(144, 698) = ( 144 x 698 ) / 50256

= 144 / 698

= 144

Step2:

LCM(2, 48) = 48

GCD(2, 48) = ( 2 x 48 ) / 48

= 2 / 48

= 2

Step3:

LCM(2, 412) = 412

GCD(2, 412) = ( 2 x 412 ) / 412

= 2 / 412

= 2

So, Greatest Common Divisor of 144, 698, 48, 412 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 106, 17, 536
• GCD of 880, 710, 96, 770
• GCD of 993, 414, 75, 135
• GCD of 102, 406, 89, 286
• GCD of 586, 755, 32, 250

Given numbers are 144, 698, 48, 412
The greatest common divisor of numbers 144, 698, 48, 412 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 698, 48, 412 is 2.

1. What is the GCD of 144, 698, 48, 412?

GCD of given numbers 144, 698, 48, 412 is 2

2. How to calculate the greatest common divisor of 144, 698, 48, 412?

We can find the highest common divisor of 144, 698, 48, 412 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, 698, 48, 412 i.e 2.

3. How can I use the GCD of 144, 698, 48, 412Calculator?

Out the numbers 144, 698, 48, 412 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.