GCD of 748, 276, 832, 608 Calculator

Given Input numbers are 748, 276, 832, 608

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

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

Divisors of 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 608 :

The positive integer divisors of 608 that completely divides 608 are.

1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

GCD of numbers is the greatest common divisor

So, the GCD (748, 276, 832, 608) = 4.

Given numbers are 748, 276, 832, 608

The list of prime factors of all numbers are

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

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 608 are 2 x 2 x 2 x 2 x 2 x 19

The highest common occurrence is 2²

Therefore, GCD of 748, 276, 832, 608 is 4.

Given numbers are 748, 276, 832, 608

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

Apply this formula for all numbers.

Step1:

LCM(748, 276) = 51612

GCD(748, 276) = ( 748 x 276 ) / 51612

= 748 / 276

= 748

Step2:

LCM(4, 832) = 832

GCD(4, 832) = ( 4 x 832 ) / 832

= 4 / 832

= 4

Step3:

LCM(4, 608) = 608

GCD(4, 608) = ( 4 x 608 ) / 608

= 4 / 608

= 4

So, Greatest Common Divisor of 748, 276, 832, 608 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 612, 907, 206
• GCD of 823, 258, 534, 753
• GCD of 244, 266, 839, 860
• GCD of 886, 240, 990, 649
• GCD of 729, 994, 670, 719

Given numbers are 748, 276, 832, 608
The greatest common divisor of numbers 748, 276, 832, 608 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 276, 832, 608 is 4.

1. What is the GCD of 748, 276, 832, 608?

GCD of given numbers 748, 276, 832, 608 is 4

2. How to calculate the greatest common divisor of 748, 276, 832, 608?

We can find the highest common divisor of 748, 276, 832, 608 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 748, 276, 832, 608 i.e 4.

3. How can I use the GCD of 748, 276, 832, 608Calculator?

Out the numbers 748, 276, 832, 608 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.