GCD of 782, 164, 698, 844 Calculator

Given Input numbers are 782, 164, 698, 844

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

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 164 :

The positive integer divisors of 164 that completely divides 164 are.

1, 2, 4, 41, 82, 164

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 844 :

The positive integer divisors of 844 that completely divides 844 are.

1, 2, 4, 211, 422, 844

GCD of numbers is the greatest common divisor

So, the GCD (782, 164, 698, 844) = 2.

Given numbers are 782, 164, 698, 844

The list of prime factors of all numbers are

Prime factors of 782 are 2 x 17 x 23

Prime factors of 164 are 2 x 2 x 41

Prime factors of 698 are 2 x 349

Prime factors of 844 are 2 x 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 782, 164, 698, 844 is 2.

Given numbers are 782, 164, 698, 844

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

Apply this formula for all numbers.

Step1:

LCM(782, 164) = 64124

GCD(782, 164) = ( 782 x 164 ) / 64124

= 782 / 164

= 782

Step2:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

Step3:

LCM(2, 844) = 844

GCD(2, 844) = ( 2 x 844 ) / 844

= 2 / 844

= 2

So, Greatest Common Divisor of 782, 164, 698, 844 is 2

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• GCD of 829, 182, 652, 228
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Given numbers are 782, 164, 698, 844
The greatest common divisor of numbers 782, 164, 698, 844 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 782, 164, 698, 844 is 2.

1. What is the GCD of 782, 164, 698, 844?

GCD of given numbers 782, 164, 698, 844 is 2

2. How to calculate the greatest common divisor of 782, 164, 698, 844?

We can find the highest common divisor of 782, 164, 698, 844 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 782, 164, 698, 844 i.e 2.

3. How can I use the GCD of 782, 164, 698, 844Calculator?

Out the numbers 782, 164, 698, 844 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.