GCD of 736, 412, 144, 348 Calculator

Given Input numbers are 736, 412, 144, 348

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 412 :

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

1, 2, 4, 103, 206, 412

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 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (736, 412, 144, 348) = 4.

Given numbers are 736, 412, 144, 348

The list of prime factors of all numbers are

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 412 are 2 x 2 x 103

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 2²

Therefore, GCD of 736, 412, 144, 348 is 4.

Given numbers are 736, 412, 144, 348

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

Apply this formula for all numbers.

Step1:

LCM(736, 412) = 75808

GCD(736, 412) = ( 736 x 412 ) / 75808

= 736 / 412

= 736

Step2:

LCM(4, 144) = 144

GCD(4, 144) = ( 4 x 144 ) / 144

= 4 / 144

= 4

Step3:

LCM(4, 348) = 348

GCD(4, 348) = ( 4 x 348 ) / 348

= 4 / 348

= 4

So, Greatest Common Divisor of 736, 412, 144, 348 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 828, 898, 493, 342
• GCD of 471, 395, 582, 719
• GCD of 128, 689, 124, 130
• GCD of 375, 783, 590, 428
• GCD of 624, 783, 292, 953

Given numbers are 736, 412, 144, 348
The greatest common divisor of numbers 736, 412, 144, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 736, 412, 144, 348 is 4.

1. What is the GCD of 736, 412, 144, 348?

GCD of given numbers 736, 412, 144, 348 is 4

2. How to calculate the greatest common divisor of 736, 412, 144, 348?

We can find the highest common divisor of 736, 412, 144, 348 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 736, 412, 144, 348 i.e 4.

3. How can I use the GCD of 736, 412, 144, 348Calculator?

Out the numbers 736, 412, 144, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.