GCD of 112, 116, 548, 980 Calculator

Given Input numbers are 112, 116, 548, 980

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

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 116 :

The positive integer divisors of 116 that completely divides 116 are.

1, 2, 4, 29, 58, 116

Divisors of 548 :

The positive integer divisors of 548 that completely divides 548 are.

1, 2, 4, 137, 274, 548

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 (112, 116, 548, 980) = 4.

Given numbers are 112, 116, 548, 980

The list of prime factors of all numbers are

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

Prime factors of 116 are 2 x 2 x 29

Prime factors of 548 are 2 x 2 x 137

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

The highest common occurrence is 2²

Therefore, GCD of 112, 116, 548, 980 is 4.

Given numbers are 112, 116, 548, 980

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

Apply this formula for all numbers.

Step1:

LCM(112, 116) = 3248

GCD(112, 116) = ( 112 x 116 ) / 3248

= 112 / 116

= 112

Step2:

LCM(4, 548) = 548

GCD(4, 548) = ( 4 x 548 ) / 548

= 4 / 548

= 4

Step3:

LCM(4, 980) = 980

GCD(4, 980) = ( 4 x 980 ) / 980

= 4 / 980

= 4

So, Greatest Common Divisor of 112, 116, 548, 980 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 727, 276, 213
• GCD of 935, 348, 909, 415
• GCD of 806, 554, 433, 523
• GCD of 305, 107, 909, 940
• GCD of 254, 909, 685, 752

Given numbers are 112, 116, 548, 980
The greatest common divisor of numbers 112, 116, 548, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 112, 116, 548, 980 is 4.

1. What is the GCD of 112, 116, 548, 980?

GCD of given numbers 112, 116, 548, 980 is 4

2. How to calculate the greatest common divisor of 112, 116, 548, 980?

We can find the highest common divisor of 112, 116, 548, 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 112, 116, 548, 980 i.e 4.

3. How can I use the GCD of 112, 116, 548, 980Calculator?

Out the numbers 112, 116, 548, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.