GCD of 494, 480, 394, 974 Calculator

Given Input numbers are 494, 480, 394, 974

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 480 :

The positive integer divisors of 480 that completely divides 480 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 80, 96, 120, 160, 240, 480

Divisors of 394 :

The positive integer divisors of 394 that completely divides 394 are.

1, 2, 197, 394

Divisors of 974 :

The positive integer divisors of 974 that completely divides 974 are.

1, 2, 487, 974

GCD of numbers is the greatest common divisor

So, the GCD (494, 480, 394, 974) = 2.

Given numbers are 494, 480, 394, 974

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 480 are 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 394 are 2 x 197

Prime factors of 974 are 2 x 487

The highest common occurrence is 2¹

Therefore, GCD of 494, 480, 394, 974 is 2.

Given numbers are 494, 480, 394, 974

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

Apply this formula for all numbers.

Step1:

LCM(494, 480) = 118560

GCD(494, 480) = ( 494 x 480 ) / 118560

= 494 / 480

= 494

Step2:

LCM(2, 394) = 394

GCD(2, 394) = ( 2 x 394 ) / 394

= 2 / 394

= 2

Step3:

LCM(2, 974) = 974

GCD(2, 974) = ( 2 x 974 ) / 974

= 2 / 974

= 2

So, Greatest Common Divisor of 494, 480, 394, 974 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 131, 586, 135, 135
• GCD of 332, 881, 148, 879
• GCD of 157, 415, 531, 679
• GCD of 228, 465, 133, 289
• GCD of 261, 831, 987, 177

Given numbers are 494, 480, 394, 974
The greatest common divisor of numbers 494, 480, 394, 974 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 480, 394, 974 is 2.

1. What is the GCD of 494, 480, 394, 974?

GCD of given numbers 494, 480, 394, 974 is 2

2. How to calculate the greatest common divisor of 494, 480, 394, 974?

We can find the highest common divisor of 494, 480, 394, 974 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, 480, 394, 974 i.e 2.

3. How can I use the GCD of 494, 480, 394, 974Calculator?

Out the numbers 494, 480, 394, 974 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.