GCD of 742, 450, 784, 384 Calculator

Given Input numbers are 742, 450, 784, 384

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

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 450 :

The positive integer divisors of 450 that completely divides 450 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 25, 30, 45, 50, 75, 90, 150, 225, 450

Divisors of 784 :

The positive integer divisors of 784 that completely divides 784 are.

1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

GCD of numbers is the greatest common divisor

So, the GCD (742, 450, 784, 384) = 2.

Given numbers are 742, 450, 784, 384

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 450 are 2 x 3 x 3 x 5 x 5

Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 742, 450, 784, 384 is 2.

Given numbers are 742, 450, 784, 384

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

Apply this formula for all numbers.

Step1:

LCM(742, 450) = 166950

GCD(742, 450) = ( 742 x 450 ) / 166950

= 742 / 450

= 742

Step2:

LCM(2, 784) = 784

GCD(2, 784) = ( 2 x 784 ) / 784

= 2 / 784

= 2

Step3:

LCM(2, 384) = 384

GCD(2, 384) = ( 2 x 384 ) / 384

= 2 / 384

= 2

So, Greatest Common Divisor of 742, 450, 784, 384 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 229, 971, 860, 141
• GCD of 235, 540, 222, 108
• GCD of 157, 432, 967, 219
• GCD of 475, 857, 176, 792
• GCD of 956, 694, 798, 668

Given numbers are 742, 450, 784, 384
The greatest common divisor of numbers 742, 450, 784, 384 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 450, 784, 384 is 2.

1. What is the GCD of 742, 450, 784, 384?

GCD of given numbers 742, 450, 784, 384 is 2

2. How to calculate the greatest common divisor of 742, 450, 784, 384?

We can find the highest common divisor of 742, 450, 784, 384 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 742, 450, 784, 384 i.e 2.

3. How can I use the GCD of 742, 450, 784, 384Calculator?

Out the numbers 742, 450, 784, 384 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.