GCD of 796, 642, 584, 782 Calculator

Given Input numbers are 796, 642, 584, 782

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

Divisors of 796 :

The positive integer divisors of 796 that completely divides 796 are.

1, 2, 4, 199, 398, 796

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 782 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (796, 642, 584, 782) = 2.

Given numbers are 796, 642, 584, 782

The list of prime factors of all numbers are

Prime factors of 796 are 2 x 2 x 199

Prime factors of 642 are 2 x 3 x 107

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 782 are 2 x 17 x 23

The highest common occurrence is 2¹

Therefore, GCD of 796, 642, 584, 782 is 2.

Given numbers are 796, 642, 584, 782

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

Apply this formula for all numbers.

Step1:

LCM(796, 642) = 255516

GCD(796, 642) = ( 796 x 642 ) / 255516

= 796 / 642

= 796

Step2:

LCM(2, 584) = 584

GCD(2, 584) = ( 2 x 584 ) / 584

= 2 / 584

= 2

Step3:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

So, Greatest Common Divisor of 796, 642, 584, 782 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 685, 967, 842, 922
• GCD of 972, 843, 136, 307
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• GCD of 466, 726, 263, 509

Given numbers are 796, 642, 584, 782
The greatest common divisor of numbers 796, 642, 584, 782 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 796, 642, 584, 782 is 2.

1. What is the GCD of 796, 642, 584, 782?

GCD of given numbers 796, 642, 584, 782 is 2

2. How to calculate the greatest common divisor of 796, 642, 584, 782?

We can find the highest common divisor of 796, 642, 584, 782 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 796, 642, 584, 782 i.e 2.

3. How can I use the GCD of 796, 642, 584, 782Calculator?

Out the numbers 796, 642, 584, 782 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.