GCD of 490, 566, 794, 100 Calculator

Given Input numbers are 490, 566, 794, 100

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 566 :

The positive integer divisors of 566 that completely divides 566 are.

1, 2, 283, 566

Divisors of 794 :

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

1, 2, 397, 794

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

GCD of numbers is the greatest common divisor

So, the GCD (490, 566, 794, 100) = 2.

Given numbers are 490, 566, 794, 100

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 566 are 2 x 283

Prime factors of 794 are 2 x 397

Prime factors of 100 are 2 x 2 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 490, 566, 794, 100 is 2.

Given numbers are 490, 566, 794, 100

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

Apply this formula for all numbers.

Step1:

LCM(490, 566) = 138670

GCD(490, 566) = ( 490 x 566 ) / 138670

= 490 / 566

= 490

Step2:

LCM(2, 794) = 794

GCD(2, 794) = ( 2 x 794 ) / 794

= 2 / 794

= 2

Step3:

LCM(2, 100) = 100

GCD(2, 100) = ( 2 x 100 ) / 100

= 2 / 100

= 2

So, Greatest Common Divisor of 490, 566, 794, 100 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 673, 864, 626, 747
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Given numbers are 490, 566, 794, 100
The greatest common divisor of numbers 490, 566, 794, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 566, 794, 100 is 2.

1. What is the GCD of 490, 566, 794, 100?

GCD of given numbers 490, 566, 794, 100 is 2

2. How to calculate the greatest common divisor of 490, 566, 794, 100?

We can find the highest common divisor of 490, 566, 794, 100 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 490, 566, 794, 100 i.e 2.

3. How can I use the GCD of 490, 566, 794, 100Calculator?

Out the numbers 490, 566, 794, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.