GCD of 180, 754, 434, 448 Calculator

Given Input numbers are 180, 754, 434, 448

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

Divisors of 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 434 :

The positive integer divisors of 434 that completely divides 434 are.

1, 2, 7, 14, 31, 62, 217, 434

Divisors of 448 :

The positive integer divisors of 448 that completely divides 448 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448

GCD of numbers is the greatest common divisor

So, the GCD (180, 754, 434, 448) = 2.

Given numbers are 180, 754, 434, 448

The list of prime factors of all numbers are

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 754 are 2 x 13 x 29

Prime factors of 434 are 2 x 7 x 31

Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 180, 754, 434, 448 is 2.

Given numbers are 180, 754, 434, 448

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

Apply this formula for all numbers.

Step1:

LCM(180, 754) = 67860

GCD(180, 754) = ( 180 x 754 ) / 67860

= 180 / 754

= 180

Step2:

LCM(2, 434) = 434

GCD(2, 434) = ( 2 x 434 ) / 434

= 2 / 434

= 2

Step3:

LCM(2, 448) = 448

GCD(2, 448) = ( 2 x 448 ) / 448

= 2 / 448

= 2

So, Greatest Common Divisor of 180, 754, 434, 448 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 652, 591, 719, 594
• GCD of 664, 799, 673, 349
• GCD of 625, 539, 366, 200
• GCD of 693, 168, 834, 444
• GCD of 185, 961, 446, 104

Given numbers are 180, 754, 434, 448
The greatest common divisor of numbers 180, 754, 434, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 180, 754, 434, 448 is 2.

1. What is the GCD of 180, 754, 434, 448?

GCD of given numbers 180, 754, 434, 448 is 2

2. How to calculate the greatest common divisor of 180, 754, 434, 448?

We can find the highest common divisor of 180, 754, 434, 448 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 180, 754, 434, 448 i.e 2.

3. How can I use the GCD of 180, 754, 434, 448Calculator?

Out the numbers 180, 754, 434, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.