GCD of 448, 196, 750, 494 Calculator

Given Input numbers are 448, 196, 750, 494

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

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

Divisors of 196 :

The positive integer divisors of 196 that completely divides 196 are.

1, 2, 4, 7, 14, 28, 49, 98, 196

Divisors of 750 :

The positive integer divisors of 750 that completely divides 750 are.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 125, 150, 250, 375, 750

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

GCD of numbers is the greatest common divisor

So, the GCD (448, 196, 750, 494) = 2.

Given numbers are 448, 196, 750, 494

The list of prime factors of all numbers are

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

Prime factors of 196 are 2 x 2 x 7 x 7

Prime factors of 750 are 2 x 3 x 5 x 5 x 5

Prime factors of 494 are 2 x 13 x 19

The highest common occurrence is 2¹

Therefore, GCD of 448, 196, 750, 494 is 2.

Given numbers are 448, 196, 750, 494

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

Apply this formula for all numbers.

Step1:

LCM(448, 196) = 3136

GCD(448, 196) = ( 448 x 196 ) / 3136

= 448 / 196

= 448

Step2:

LCM(28, 750) = 10500

GCD(28, 750) = ( 28 x 750 ) / 10500

= 28 / 750

= 28

Step3:

LCM(2, 494) = 494

GCD(2, 494) = ( 2 x 494 ) / 494

= 2 / 494

= 2

So, Greatest Common Divisor of 448, 196, 750, 494 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 675, 122, 502, 832
• GCD of 397, 547, 302, 203
• GCD of 421, 682, 370, 350
• GCD of 238, 425, 560, 398
• GCD of 650, 244, 204, 147

Given numbers are 448, 196, 750, 494
The greatest common divisor of numbers 448, 196, 750, 494 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 448, 196, 750, 494 is 2.

1. What is the GCD of 448, 196, 750, 494?

GCD of given numbers 448, 196, 750, 494 is 2

2. How to calculate the greatest common divisor of 448, 196, 750, 494?

We can find the highest common divisor of 448, 196, 750, 494 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 448, 196, 750, 494 i.e 2.

3. How can I use the GCD of 448, 196, 750, 494Calculator?

Out the numbers 448, 196, 750, 494 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.