GCD of 300, 740, 748, 984 Calculator

Given Input numbers are 300, 740, 748, 984

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

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

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 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 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (300, 740, 748, 984) = 4.

Given numbers are 300, 740, 748, 984

The list of prime factors of all numbers are

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

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

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

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 2²

Therefore, GCD of 300, 740, 748, 984 is 4.

Given numbers are 300, 740, 748, 984

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

Apply this formula for all numbers.

Step1:

LCM(300, 740) = 11100

GCD(300, 740) = ( 300 x 740 ) / 11100

= 300 / 740

= 300

Step2:

LCM(20, 748) = 3740

GCD(20, 748) = ( 20 x 748 ) / 3740

= 20 / 748

= 20

Step3:

LCM(4, 984) = 984

GCD(4, 984) = ( 4 x 984 ) / 984

= 4 / 984

= 4

So, Greatest Common Divisor of 300, 740, 748, 984 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 565, 897, 571, 286
• GCD of 685, 453, 394, 215
• GCD of 572, 288, 377, 373
• GCD of 879, 472, 738, 429
• GCD of 121, 182, 278, 749

Given numbers are 300, 740, 748, 984
The greatest common divisor of numbers 300, 740, 748, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 300, 740, 748, 984 is 4.

1. What is the GCD of 300, 740, 748, 984?

GCD of given numbers 300, 740, 748, 984 is 4

2. How to calculate the greatest common divisor of 300, 740, 748, 984?

We can find the highest common divisor of 300, 740, 748, 984 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 300, 740, 748, 984 i.e 4.

3. How can I use the GCD of 300, 740, 748, 984Calculator?

Out the numbers 300, 740, 748, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.