GCD of 916, 998, 918, 748 Calculator

Given Input numbers are 916, 998, 918, 748

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 998 :

The positive integer divisors of 998 that completely divides 998 are.

1, 2, 499, 998

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 (916, 998, 918, 748) = 2.

Given numbers are 916, 998, 918, 748

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 998 are 2 x 499

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

The highest common occurrence is 2¹

Therefore, GCD of 916, 998, 918, 748 is 2.

Given numbers are 916, 998, 918, 748

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

Apply this formula for all numbers.

Step1:

LCM(916, 998) = 457084

GCD(916, 998) = ( 916 x 998 ) / 457084

= 916 / 998

= 916

Step2:

LCM(2, 918) = 918

GCD(2, 918) = ( 2 x 918 ) / 918

= 2 / 918

= 2

Step3:

LCM(2, 748) = 748

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

= 2 / 748

= 2

So, Greatest Common Divisor of 916, 998, 918, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 382, 815, 881, 651
• GCD of 507, 407, 231, 836
• GCD of 257, 781, 350, 463
• GCD of 107, 439, 457, 968
• GCD of 316, 567, 935, 869

Given numbers are 916, 998, 918, 748
The greatest common divisor of numbers 916, 998, 918, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 998, 918, 748 is 2.

1. What is the GCD of 916, 998, 918, 748?

GCD of given numbers 916, 998, 918, 748 is 2

2. How to calculate the greatest common divisor of 916, 998, 918, 748?

We can find the highest common divisor of 916, 998, 918, 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 916, 998, 918, 748 i.e 2.

3. How can I use the GCD of 916, 998, 918, 748Calculator?

Out the numbers 916, 998, 918, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.