GCD of 648, 278, 808, 748 Calculator

Given Input numbers are 648, 278, 808, 748

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

Divisors of 648 :

The positive integer divisors of 648 that completely divides 648 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

Divisors of 278 :

The positive integer divisors of 278 that completely divides 278 are.

1, 2, 139, 278

Divisors of 808 :

The positive integer divisors of 808 that completely divides 808 are.

1, 2, 4, 8, 101, 202, 404, 808

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 (648, 278, 808, 748) = 2.

Given numbers are 648, 278, 808, 748

The list of prime factors of all numbers are

Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3

Prime factors of 278 are 2 x 139

Prime factors of 808 are 2 x 2 x 2 x 101

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

The highest common occurrence is 2¹

Therefore, GCD of 648, 278, 808, 748 is 2.

Given numbers are 648, 278, 808, 748

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

Apply this formula for all numbers.

Step1:

LCM(648, 278) = 90072

GCD(648, 278) = ( 648 x 278 ) / 90072

= 648 / 278

= 648

Step2:

LCM(2, 808) = 808

GCD(2, 808) = ( 2 x 808 ) / 808

= 2 / 808

= 2

Step3:

LCM(2, 748) = 748

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

= 2 / 748

= 2

So, Greatest Common Divisor of 648, 278, 808, 748 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 396, 625, 881, 972
• GCD of 398, 425, 735, 721
• GCD of 664, 691, 999, 955
• GCD of 562, 300, 751, 304
• GCD of 326, 323, 520, 826

Given numbers are 648, 278, 808, 748
The greatest common divisor of numbers 648, 278, 808, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 648, 278, 808, 748 is 2.

1. What is the GCD of 648, 278, 808, 748?

GCD of given numbers 648, 278, 808, 748 is 2

2. How to calculate the greatest common divisor of 648, 278, 808, 748?

We can find the highest common divisor of 648, 278, 808, 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 648, 278, 808, 748 i.e 2.

3. How can I use the GCD of 648, 278, 808, 748Calculator?

Out the numbers 648, 278, 808, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.