GCD of 686, 112, 658, 984 Calculator

Given Input numbers are 686, 112, 658, 984

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

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 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (686, 112, 658, 984) = 2.

Given numbers are 686, 112, 658, 984

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

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

Prime factors of 658 are 2 x 7 x 47

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2¹

Therefore, GCD of 686, 112, 658, 984 is 2.

Given numbers are 686, 112, 658, 984

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

Apply this formula for all numbers.

Step1:

LCM(686, 112) = 5488

GCD(686, 112) = ( 686 x 112 ) / 5488

= 686 / 112

= 686

Step2:

LCM(14, 658) = 658

GCD(14, 658) = ( 14 x 658 ) / 658

= 14 / 658

= 14

Step3:

LCM(14, 984) = 6888

GCD(14, 984) = ( 14 x 984 ) / 6888

= 14 / 984

= 14

So, Greatest Common Divisor of 686, 112, 658, 984 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 258, 165, 503, 536
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• GCD of 339, 956, 335, 485
• GCD of 450, 333, 289, 915
• GCD of 148, 559, 445, 903

Given numbers are 686, 112, 658, 984
The greatest common divisor of numbers 686, 112, 658, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 112, 658, 984 is 2.

1. What is the GCD of 686, 112, 658, 984?

GCD of given numbers 686, 112, 658, 984 is 2

2. How to calculate the greatest common divisor of 686, 112, 658, 984?

We can find the highest common divisor of 686, 112, 658, 984 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 686, 112, 658, 984 i.e 2.

3. How can I use the GCD of 686, 112, 658, 984Calculator?

Out the numbers 686, 112, 658, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.