GCD of 842, 718, 756, 784 Calculator

Given Input numbers are 842, 718, 756, 784

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

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 718 :

The positive integer divisors of 718 that completely divides 718 are.

1, 2, 359, 718

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

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

GCD of numbers is the greatest common divisor

So, the GCD (842, 718, 756, 784) = 2.

Given numbers are 842, 718, 756, 784

The list of prime factors of all numbers are

Prime factors of 842 are 2 x 421

Prime factors of 718 are 2 x 359

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

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

The highest common occurrence is 2¹

Therefore, GCD of 842, 718, 756, 784 is 2.

Given numbers are 842, 718, 756, 784

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

Apply this formula for all numbers.

Step1:

LCM(842, 718) = 302278

GCD(842, 718) = ( 842 x 718 ) / 302278

= 842 / 718

= 842

Step2:

LCM(2, 756) = 756

GCD(2, 756) = ( 2 x 756 ) / 756

= 2 / 756

= 2

Step3:

LCM(2, 784) = 784

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

= 2 / 784

= 2

So, Greatest Common Divisor of 842, 718, 756, 784 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 884, 767, 600, 361
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Given numbers are 842, 718, 756, 784
The greatest common divisor of numbers 842, 718, 756, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 842, 718, 756, 784 is 2.

1. What is the GCD of 842, 718, 756, 784?

GCD of given numbers 842, 718, 756, 784 is 2

2. How to calculate the greatest common divisor of 842, 718, 756, 784?

We can find the highest common divisor of 842, 718, 756, 784 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 842, 718, 756, 784 i.e 2.

3. How can I use the GCD of 842, 718, 756, 784Calculator?

Out the numbers 842, 718, 756, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.