GCD of 724, 748, 740, 424 Calculator

Given Input numbers are 724, 748, 740, 424

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

Divisors of 724 :

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

1, 2, 4, 181, 362, 724

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 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

GCD of numbers is the greatest common divisor

So, the GCD (724, 748, 740, 424) = 4.

Given numbers are 724, 748, 740, 424

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 424 are 2 x 2 x 2 x 53

The highest common occurrence is 2²

Therefore, GCD of 724, 748, 740, 424 is 4.

Given numbers are 724, 748, 740, 424

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

Apply this formula for all numbers.

Step1:

LCM(724, 748) = 135388

GCD(724, 748) = ( 724 x 748 ) / 135388

= 724 / 748

= 724

Step2:

LCM(4, 740) = 740

GCD(4, 740) = ( 4 x 740 ) / 740

= 4 / 740

= 4

Step3:

LCM(4, 424) = 424

GCD(4, 424) = ( 4 x 424 ) / 424

= 4 / 424

= 4

So, Greatest Common Divisor of 724, 748, 740, 424 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 442, 509, 852
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• GCD of 176, 560, 861, 908

Given numbers are 724, 748, 740, 424
The greatest common divisor of numbers 724, 748, 740, 424 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 748, 740, 424 is 4.

1. What is the GCD of 724, 748, 740, 424?

GCD of given numbers 724, 748, 740, 424 is 4

2. How to calculate the greatest common divisor of 724, 748, 740, 424?

We can find the highest common divisor of 724, 748, 740, 424 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 724, 748, 740, 424 i.e 4.

3. How can I use the GCD of 724, 748, 740, 424Calculator?

Out the numbers 724, 748, 740, 424 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.