GCD of 924, 214, 704, 532 Calculator

Given Input numbers are 924, 214, 704, 532

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

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (924, 214, 704, 532) = 2.

Given numbers are 924, 214, 704, 532

The list of prime factors of all numbers are

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 214 are 2 x 107

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 2¹

Therefore, GCD of 924, 214, 704, 532 is 2.

Given numbers are 924, 214, 704, 532

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

Apply this formula for all numbers.

Step1:

LCM(924, 214) = 98868

GCD(924, 214) = ( 924 x 214 ) / 98868

= 924 / 214

= 924

Step2:

LCM(2, 704) = 704

GCD(2, 704) = ( 2 x 704 ) / 704

= 2 / 704

= 2

Step3:

LCM(2, 532) = 532

GCD(2, 532) = ( 2 x 532 ) / 532

= 2 / 532

= 2

So, Greatest Common Divisor of 924, 214, 704, 532 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 611, 158, 970, 663
• GCD of 337, 690, 271, 238
• GCD of 271, 233, 620, 595
• GCD of 813, 298, 796, 307
• GCD of 924, 863, 689, 823

Given numbers are 924, 214, 704, 532
The greatest common divisor of numbers 924, 214, 704, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 924, 214, 704, 532 is 2.

1. What is the GCD of 924, 214, 704, 532?

GCD of given numbers 924, 214, 704, 532 is 2

2. How to calculate the greatest common divisor of 924, 214, 704, 532?

We can find the highest common divisor of 924, 214, 704, 532 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 924, 214, 704, 532 i.e 2.

3. How can I use the GCD of 924, 214, 704, 532Calculator?

Out the numbers 924, 214, 704, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.