GCD of 748, 182, 724 Calculator

Given Input numbers are 748, 182, 724

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 182 :

The positive integer divisors of 182 that completely divides 182 are.

1, 2, 7, 13, 14, 26, 91, 182

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

GCD of numbers is the greatest common divisor

So, the GCD (748, 182, 724) = 2.

Given numbers are 748, 182, 724

The list of prime factors of all numbers are

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

Prime factors of 182 are 2 x 7 x 13

Prime factors of 724 are 2 x 2 x 181

The highest common occurrence is 2¹

Therefore, GCD of 748, 182, 724 is 2.

Given numbers are 748, 182, 724

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

Apply this formula for all numbers.

Step1:

LCM(748, 182) = 68068

GCD(748, 182) = ( 748 x 182 ) / 68068

= 748 / 182

= 748

Step2:

LCM(2, 724) = 724

GCD(2, 724) = ( 2 x 724 ) / 724

= 2 / 724

= 2

So, Greatest Common Divisor of 748, 182, 724 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 950, 136, 319
• GCD of 107, 620, 745
• GCD of 510, 463, 241
• GCD of 416, 895, 140
• GCD of 544, 889, 176

Given numbers are 748, 182, 724
The greatest common divisor of numbers 748, 182, 724 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 182, 724 is 2.

1. What is the GCD of 748, 182, 724?

GCD of given numbers 748, 182, 724 is 2

2. How to calculate the greatest common divisor of 748, 182, 724?

We can find the highest common divisor of 748, 182, 724 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, 182, 724 i.e 2.

3. How can I use the GCD of 748, 182, 724Calculator?

Out the numbers 748, 182, 724 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.