GCD of 821, 100, 494, 658 Calculator

Given Input numbers are 821, 100, 494, 658

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

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 100 :

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

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (821, 100, 494, 658) = 1.

Given numbers are 821, 100, 494, 658

The list of prime factors of all numbers are

Prime factors of 821 are 821

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

Prime factors of 494 are 2 x 13 x 19

Prime factors of 658 are 2 x 7 x 47

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 821, 100, 494, 658

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

Apply this formula for all numbers.

Step1:

LCM(821, 100) = 82100

GCD(821, 100) = ( 821 x 100 ) / 82100

= 821 / 100

= 821

Step2:

LCM(1, 494) = 494

GCD(1, 494) = ( 1 x 494 ) / 494

= 1 / 494

= 1

Step3:

LCM(1, 658) = 658

GCD(1, 658) = ( 1 x 658 ) / 658

= 1 / 658

= 1

So, Greatest Common Divisor of 821, 100, 494, 658 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 870, 985, 203, 428
• GCD of 892, 541, 477, 360
• GCD of 727, 684, 717, 757
• GCD of 491, 225, 115, 545
• GCD of 309, 146, 470, 773

Given numbers are 821, 100, 494, 658
The greatest common divisor of numbers 821, 100, 494, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 821, 100, 494, 658 is 1.

1. What is the GCD of 821, 100, 494, 658?

GCD of given numbers 821, 100, 494, 658 is 1

2. How to calculate the greatest common divisor of 821, 100, 494, 658?

We can find the highest common divisor of 821, 100, 494, 658 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 821, 100, 494, 658 i.e 1.

3. How can I use the GCD of 821, 100, 494, 658Calculator?

Out the numbers 821, 100, 494, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.