GCD of 732, 676, 984, 106 Calculator

Given Input numbers are 732, 676, 984, 106

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

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 676 :

The positive integer divisors of 676 that completely divides 676 are.

1, 2, 4, 13, 26, 52, 169, 338, 676

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

Divisors of 106 :

The positive integer divisors of 106 that completely divides 106 are.

1, 2, 53, 106

GCD of numbers is the greatest common divisor

So, the GCD (732, 676, 984, 106) = 2.

Given numbers are 732, 676, 984, 106

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 676 are 2 x 2 x 13 x 13

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

Prime factors of 106 are 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 732, 676, 984, 106 is 2.

Given numbers are 732, 676, 984, 106

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

Apply this formula for all numbers.

Step1:

LCM(732, 676) = 123708

GCD(732, 676) = ( 732 x 676 ) / 123708

= 732 / 676

= 732

Step2:

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

= 4 / 984

= 4

Step3:

LCM(4, 106) = 212

GCD(4, 106) = ( 4 x 106 ) / 212

= 4 / 106

= 4

So, Greatest Common Divisor of 732, 676, 984, 106 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 226, 584, 858, 726
• GCD of 459, 457, 214, 626
• GCD of 924, 720, 587, 175
• GCD of 921, 937, 382, 746
• GCD of 816, 913, 209, 657

Given numbers are 732, 676, 984, 106
The greatest common divisor of numbers 732, 676, 984, 106 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 676, 984, 106 is 2.

1. What is the GCD of 732, 676, 984, 106?

GCD of given numbers 732, 676, 984, 106 is 2

2. How to calculate the greatest common divisor of 732, 676, 984, 106?

We can find the highest common divisor of 732, 676, 984, 106 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 732, 676, 984, 106 i.e 2.

3. How can I use the GCD of 732, 676, 984, 106Calculator?

Out the numbers 732, 676, 984, 106 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.