GCD of 494, 448, 520, 938 Calculator

Given Input numbers are 494, 448, 520, 938

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

Divisors of 494 :

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

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

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 520 :

The positive integer divisors of 520 that completely divides 520 are.

1, 2, 4, 5, 8, 10, 13, 20, 26, 40, 52, 65, 104, 130, 260, 520

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

GCD of numbers is the greatest common divisor

So, the GCD (494, 448, 520, 938) = 2.

Given numbers are 494, 448, 520, 938

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

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

Prime factors of 520 are 2 x 2 x 2 x 5 x 13

Prime factors of 938 are 2 x 7 x 67

The highest common occurrence is 2¹

Therefore, GCD of 494, 448, 520, 938 is 2.

Given numbers are 494, 448, 520, 938

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

Apply this formula for all numbers.

Step1:

LCM(494, 448) = 110656

GCD(494, 448) = ( 494 x 448 ) / 110656

= 494 / 448

= 494

Step2:

LCM(2, 520) = 520

GCD(2, 520) = ( 2 x 520 ) / 520

= 2 / 520

= 2

Step3:

LCM(2, 938) = 938

GCD(2, 938) = ( 2 x 938 ) / 938

= 2 / 938

= 2

So, Greatest Common Divisor of 494, 448, 520, 938 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 245, 675, 512, 507
• GCD of 439, 350, 546, 763
• GCD of 790, 304, 252, 135
• GCD of 755, 894, 247, 641
• GCD of 651, 782, 561, 270

Given numbers are 494, 448, 520, 938
The greatest common divisor of numbers 494, 448, 520, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 448, 520, 938 is 2.

1. What is the GCD of 494, 448, 520, 938?

GCD of given numbers 494, 448, 520, 938 is 2

2. How to calculate the greatest common divisor of 494, 448, 520, 938?

We can find the highest common divisor of 494, 448, 520, 938 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 494, 448, 520, 938 i.e 2.

3. How can I use the GCD of 494, 448, 520, 938Calculator?

Out the numbers 494, 448, 520, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.