GCD of 130, 738, 494, 896 Calculator

Given Input numbers are 130, 738, 494, 896

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

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 738 :

The positive integer divisors of 738 that completely divides 738 are.

1, 2, 3, 6, 9, 18, 41, 82, 123, 246, 369, 738

Divisors of 494 :

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

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

Divisors of 896 :

The positive integer divisors of 896 that completely divides 896 are.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 128, 224, 448, 896

GCD of numbers is the greatest common divisor

So, the GCD (130, 738, 494, 896) = 2.

Given numbers are 130, 738, 494, 896

The list of prime factors of all numbers are

Prime factors of 130 are 2 x 5 x 13

Prime factors of 738 are 2 x 3 x 3 x 41

Prime factors of 494 are 2 x 13 x 19

Prime factors of 896 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 7

The highest common occurrence is 2¹

Therefore, GCD of 130, 738, 494, 896 is 2.

Given numbers are 130, 738, 494, 896

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

Apply this formula for all numbers.

Step1:

LCM(130, 738) = 47970

GCD(130, 738) = ( 130 x 738 ) / 47970

= 130 / 738

= 130

Step2:

LCM(2, 494) = 494

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

= 2 / 494

= 2

Step3:

LCM(2, 896) = 896

GCD(2, 896) = ( 2 x 896 ) / 896

= 2 / 896

= 2

So, Greatest Common Divisor of 130, 738, 494, 896 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 478, 703, 997, 605
• GCD of 248, 253, 837, 283
• GCD of 318, 469, 439, 728
• GCD of 997, 249, 167, 782
• GCD of 570, 783, 996, 914

Given numbers are 130, 738, 494, 896
The greatest common divisor of numbers 130, 738, 494, 896 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 130, 738, 494, 896 is 2.

1. What is the GCD of 130, 738, 494, 896?

GCD of given numbers 130, 738, 494, 896 is 2

2. How to calculate the greatest common divisor of 130, 738, 494, 896?

We can find the highest common divisor of 130, 738, 494, 896 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 130, 738, 494, 896 i.e 2.

3. How can I use the GCD of 130, 738, 494, 896Calculator?

Out the numbers 130, 738, 494, 896 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.