GCD of 624, 396, 898, 748 Calculator

Given Input numbers are 624, 396, 898, 748

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

Divisors of 624 :

The positive integer divisors of 624 that completely divides 624 are.

1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 39, 48, 52, 78, 104, 156, 208, 312, 624

Divisors of 396 :

The positive integer divisors of 396 that completely divides 396 are.

1, 2, 3, 4, 6, 9, 11, 12, 18, 22, 33, 36, 44, 66, 99, 132, 198, 396

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (624, 396, 898, 748) = 2.

Given numbers are 624, 396, 898, 748

The list of prime factors of all numbers are

Prime factors of 624 are 2 x 2 x 2 x 2 x 3 x 13

Prime factors of 396 are 2 x 2 x 3 x 3 x 11

Prime factors of 898 are 2 x 449

Prime factors of 748 are 2 x 2 x 11 x 17

The highest common occurrence is 2¹

Therefore, GCD of 624, 396, 898, 748 is 2.

Given numbers are 624, 396, 898, 748

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

Apply this formula for all numbers.

Step1:

LCM(624, 396) = 20592

GCD(624, 396) = ( 624 x 396 ) / 20592

= 624 / 396

= 624

Step2:

LCM(12, 898) = 5388

GCD(12, 898) = ( 12 x 898 ) / 5388

= 12 / 898

= 12

Step3:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

So, Greatest Common Divisor of 624, 396, 898, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 892, 452, 425, 450
• GCD of 202, 618, 837, 920
• GCD of 952, 719, 793, 500
• GCD of 351, 432, 131, 420
• GCD of 866, 703, 645, 614

Given numbers are 624, 396, 898, 748
The greatest common divisor of numbers 624, 396, 898, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 624, 396, 898, 748 is 2.

1. What is the GCD of 624, 396, 898, 748?

GCD of given numbers 624, 396, 898, 748 is 2

2. How to calculate the greatest common divisor of 624, 396, 898, 748?

We can find the highest common divisor of 624, 396, 898, 748 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 624, 396, 898, 748 i.e 2.

3. How can I use the GCD of 624, 396, 898, 748Calculator?

Out the numbers 624, 396, 898, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.