GCD of 116, 548, 682, 260 Calculator

Given Input numbers are 116, 548, 682, 260

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

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 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

GCD of numbers is the greatest common divisor

So, the GCD (116, 548, 682, 260) = 2.

Given numbers are 116, 548, 682, 260

The list of prime factors of all numbers are

Prime factors of 116 are 2 x 2 x 29

Prime factors of 548 are 2 x 2 x 137

Prime factors of 682 are 2 x 11 x 31

Prime factors of 260 are 2 x 2 x 5 x 13

The highest common occurrence is 2¹

Therefore, GCD of 116, 548, 682, 260 is 2.

Given numbers are 116, 548, 682, 260

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

Apply this formula for all numbers.

Step1:

LCM(116, 548) = 15892

GCD(116, 548) = ( 116 x 548 ) / 15892

= 116 / 548

= 116

Step2:

LCM(4, 682) = 1364

GCD(4, 682) = ( 4 x 682 ) / 1364

= 4 / 682

= 4

Step3:

LCM(2, 260) = 260

GCD(2, 260) = ( 2 x 260 ) / 260

= 2 / 260

= 2

So, Greatest Common Divisor of 116, 548, 682, 260 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 892, 189, 853
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Given numbers are 116, 548, 682, 260
The greatest common divisor of numbers 116, 548, 682, 260 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 116, 548, 682, 260 is 2.

1. What is the GCD of 116, 548, 682, 260?

GCD of given numbers 116, 548, 682, 260 is 2

2. How to calculate the greatest common divisor of 116, 548, 682, 260?

We can find the highest common divisor of 116, 548, 682, 260 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 116, 548, 682, 260 i.e 2.

3. How can I use the GCD of 116, 548, 682, 260Calculator?

Out the numbers 116, 548, 682, 260 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.