GCD of 484, 688, 52, 914 Calculator

Given Input numbers are 484, 688, 52, 914

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 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 52 :

The positive integer divisors of 52 that completely divides 52 are.

1, 2, 4, 13, 26, 52

Divisors of 914 :

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

1, 2, 457, 914

GCD of numbers is the greatest common divisor

So, the GCD (484, 688, 52, 914) = 2.

Given numbers are 484, 688, 52, 914

The list of prime factors of all numbers are

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

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 52 are 2 x 2 x 13

Prime factors of 914 are 2 x 457

The highest common occurrence is 2¹

Therefore, GCD of 484, 688, 52, 914 is 2.

Given numbers are 484, 688, 52, 914

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

Apply this formula for all numbers.

Step1:

LCM(484, 688) = 83248

GCD(484, 688) = ( 484 x 688 ) / 83248

= 484 / 688

= 484

Step2:

LCM(4, 52) = 52

GCD(4, 52) = ( 4 x 52 ) / 52

= 4 / 52

= 4

Step3:

LCM(4, 914) = 1828

GCD(4, 914) = ( 4 x 914 ) / 1828

= 4 / 914

= 4

So, Greatest Common Divisor of 484, 688, 52, 914 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 696, 31, 613
• GCD of 189, 800, 82, 618
• GCD of 864, 451, 34, 952
• GCD of 665, 654, 86, 318
• GCD of 450, 142, 91, 622

Given numbers are 484, 688, 52, 914
The greatest common divisor of numbers 484, 688, 52, 914 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 484, 688, 52, 914 is 2.

1. What is the GCD of 484, 688, 52, 914?

GCD of given numbers 484, 688, 52, 914 is 2

2. How to calculate the greatest common divisor of 484, 688, 52, 914?

We can find the highest common divisor of 484, 688, 52, 914 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, 688, 52, 914 i.e 2.

3. How can I use the GCD of 484, 688, 52, 914Calculator?

Out the numbers 484, 688, 52, 914 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.