GCD of 494, 112, 834, 980 Calculator

Given Input numbers are 494, 112, 834, 980

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 112 :

The positive integer divisors of 112 that completely divides 112 are.

1, 2, 4, 7, 8, 14, 16, 28, 56, 112

Divisors of 834 :

The positive integer divisors of 834 that completely divides 834 are.

1, 2, 3, 6, 139, 278, 417, 834

Divisors of 980 :

The positive integer divisors of 980 that completely divides 980 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980

GCD of numbers is the greatest common divisor

So, the GCD (494, 112, 834, 980) = 2.

Given numbers are 494, 112, 834, 980

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 112 are 2 x 2 x 2 x 2 x 7

Prime factors of 834 are 2 x 3 x 139

Prime factors of 980 are 2 x 2 x 5 x 7 x 7

The highest common occurrence is 2¹

Therefore, GCD of 494, 112, 834, 980 is 2.

Given numbers are 494, 112, 834, 980

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

Apply this formula for all numbers.

Step1:

LCM(494, 112) = 27664

GCD(494, 112) = ( 494 x 112 ) / 27664

= 494 / 112

= 494

Step2:

LCM(2, 834) = 834

GCD(2, 834) = ( 2 x 834 ) / 834

= 2 / 834

= 2

Step3:

LCM(2, 980) = 980

GCD(2, 980) = ( 2 x 980 ) / 980

= 2 / 980

= 2

So, Greatest Common Divisor of 494, 112, 834, 980 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 896, 819, 334, 883
• GCD of 608, 819, 678, 132
• GCD of 151, 920, 344, 858
• GCD of 504, 569, 309, 413
• GCD of 349, 162, 136, 842

Given numbers are 494, 112, 834, 980
The greatest common divisor of numbers 494, 112, 834, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 112, 834, 980 is 2.

1. What is the GCD of 494, 112, 834, 980?

GCD of given numbers 494, 112, 834, 980 is 2

2. How to calculate the greatest common divisor of 494, 112, 834, 980?

We can find the highest common divisor of 494, 112, 834, 980 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, 112, 834, 980 i.e 2.

3. How can I use the GCD of 494, 112, 834, 980Calculator?

Out the numbers 494, 112, 834, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.