GCD of 484, 616, 914, 132 Calculator

Given Input numbers are 484, 616, 914, 132

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

Divisors of 484 :

The positive integer divisors of 484 that completely divides 484 are.

1, 2, 4, 11, 22, 44, 121, 242, 484

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

GCD of numbers is the greatest common divisor

So, the GCD (484, 616, 914, 132) = 2.

Given numbers are 484, 616, 914, 132

The list of prime factors of all numbers are

Prime factors of 484 are 2 x 2 x 11 x 11

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 914 are 2 x 457

Prime factors of 132 are 2 x 2 x 3 x 11

The highest common occurrence is 2¹

Therefore, GCD of 484, 616, 914, 132 is 2.

Given numbers are 484, 616, 914, 132

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

Apply this formula for all numbers.

Step1:

LCM(484, 616) = 6776

GCD(484, 616) = ( 484 x 616 ) / 6776

= 484 / 616

= 484

Step2:

LCM(44, 914) = 20108

GCD(44, 914) = ( 44 x 914 ) / 20108

= 44 / 914

= 44

Step3:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

So, Greatest Common Divisor of 484, 616, 914, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 816, 888, 109, 109
• GCD of 516, 698, 992, 901
• GCD of 925, 860, 211, 330
• GCD of 756, 617, 992, 857
• GCD of 804, 894, 996, 222

Given numbers are 484, 616, 914, 132
The greatest common divisor of numbers 484, 616, 914, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 616, 914, 132 is 2.

1. What is the GCD of 484, 616, 914, 132?

GCD of given numbers 484, 616, 914, 132 is 2

2. How to calculate the greatest common divisor of 484, 616, 914, 132?

We can find the highest common divisor of 484, 616, 914, 132 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 484, 616, 914, 132 i.e 2.

3. How can I use the GCD of 484, 616, 914, 132Calculator?

Out the numbers 484, 616, 914, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.