GCD of 748, 740, 298, 744 Calculator

Given Input numbers are 748, 740, 298, 744

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 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 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (748, 740, 298, 744) = 2.

Given numbers are 748, 740, 298, 744

The list of prime factors of all numbers are

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 298 are 2 x 149

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 748, 740, 298, 744 is 2.

Given numbers are 748, 740, 298, 744

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

Apply this formula for all numbers.

Step1:

LCM(748, 740) = 138380

GCD(748, 740) = ( 748 x 740 ) / 138380

= 748 / 740

= 748

Step2:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4

Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

So, Greatest Common Divisor of 748, 740, 298, 744 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 843, 988, 749, 676
• GCD of 318, 454, 243, 719
• GCD of 214, 576, 808, 615
• GCD of 156, 966, 890, 644
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Given numbers are 748, 740, 298, 744
The greatest common divisor of numbers 748, 740, 298, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 740, 298, 744 is 2.

1. What is the GCD of 748, 740, 298, 744?

GCD of given numbers 748, 740, 298, 744 is 2

2. How to calculate the greatest common divisor of 748, 740, 298, 744?

We can find the highest common divisor of 748, 740, 298, 744 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, 740, 298, 744 i.e 2.

3. How can I use the GCD of 748, 740, 298, 744Calculator?

Out the numbers 748, 740, 298, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.