GCD of 742, 784, 884, 900 Calculator

Given Input numbers are 742, 784, 884, 900

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 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 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

GCD of numbers is the greatest common divisor

So, the GCD (742, 784, 884, 900) = 2.

Given numbers are 742, 784, 884, 900

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 884 are 2 x 2 x 13 x 17

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 742, 784, 884, 900 is 2.

Given numbers are 742, 784, 884, 900

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

Apply this formula for all numbers.

Step1:

LCM(742, 784) = 41552

GCD(742, 784) = ( 742 x 784 ) / 41552

= 742 / 784

= 742

Step2:

LCM(14, 884) = 6188

GCD(14, 884) = ( 14 x 884 ) / 6188

= 14 / 884

= 14

Step3:

LCM(2, 900) = 900

GCD(2, 900) = ( 2 x 900 ) / 900

= 2 / 900

= 2

So, Greatest Common Divisor of 742, 784, 884, 900 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 698, 331, 735, 398
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• GCD of 748, 477, 745, 470
• GCD of 170, 776, 252, 365
• GCD of 650, 103, 852, 672

Given numbers are 742, 784, 884, 900
The greatest common divisor of numbers 742, 784, 884, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 784, 884, 900 is 2.

1. What is the GCD of 742, 784, 884, 900?

GCD of given numbers 742, 784, 884, 900 is 2

2. How to calculate the greatest common divisor of 742, 784, 884, 900?

We can find the highest common divisor of 742, 784, 884, 900 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, 784, 884, 900 i.e 2.

3. How can I use the GCD of 742, 784, 884, 900Calculator?

Out the numbers 742, 784, 884, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.