GCD of 794, 828, 742, 560 Calculator

Given Input numbers are 794, 828, 742, 560

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

Divisors of 794 :

The positive integer divisors of 794 that completely divides 794 are.

1, 2, 397, 794

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

Divisors of 742 :

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

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

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

GCD of numbers is the greatest common divisor

So, the GCD (794, 828, 742, 560) = 2.

Given numbers are 794, 828, 742, 560

The list of prime factors of all numbers are

Prime factors of 794 are 2 x 397

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

Prime factors of 742 are 2 x 7 x 53

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

The highest common occurrence is 2¹

Therefore, GCD of 794, 828, 742, 560 is 2.

Given numbers are 794, 828, 742, 560

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

Apply this formula for all numbers.

Step1:

LCM(794, 828) = 328716

GCD(794, 828) = ( 794 x 828 ) / 328716

= 794 / 828

= 794

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

Step3:

LCM(2, 560) = 560

GCD(2, 560) = ( 2 x 560 ) / 560

= 2 / 560

= 2

So, Greatest Common Divisor of 794, 828, 742, 560 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 744, 688, 735, 676
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Given numbers are 794, 828, 742, 560
The greatest common divisor of numbers 794, 828, 742, 560 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 794, 828, 742, 560 is 2.

1. What is the GCD of 794, 828, 742, 560?

GCD of given numbers 794, 828, 742, 560 is 2

2. How to calculate the greatest common divisor of 794, 828, 742, 560?

We can find the highest common divisor of 794, 828, 742, 560 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 794, 828, 742, 560 i.e 2.

3. How can I use the GCD of 794, 828, 742, 560Calculator?

Out the numbers 794, 828, 742, 560 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.