GCD of 497, 282, 100, 441 Calculator

Given Input numbers are 497, 282, 100, 441

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

Divisors of 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

Divisors of 282 :

The positive integer divisors of 282 that completely divides 282 are.

1, 2, 3, 6, 47, 94, 141, 282

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 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

GCD of numbers is the greatest common divisor

So, the GCD (497, 282, 100, 441) = 1.

Given numbers are 497, 282, 100, 441

The list of prime factors of all numbers are

Prime factors of 497 are 7 x 71

Prime factors of 282 are 2 x 3 x 47

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

Prime factors of 441 are 3 x 3 x 7 x 7

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

Given numbers are 497, 282, 100, 441

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

Apply this formula for all numbers.

Step1:

LCM(497, 282) = 140154

GCD(497, 282) = ( 497 x 282 ) / 140154

= 497 / 282

= 497

Step2:

LCM(1, 100) = 100

GCD(1, 100) = ( 1 x 100 ) / 100

= 1 / 100

= 1

Step3:

LCM(1, 441) = 441

GCD(1, 441) = ( 1 x 441 ) / 441

= 1 / 441

= 1

So, Greatest Common Divisor of 497, 282, 100, 441 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 710, 944, 407
• GCD of 318, 166, 729, 214
• GCD of 584, 869, 948, 953
• GCD of 265, 209, 515, 468
• GCD of 193, 456, 416, 361

Given numbers are 497, 282, 100, 441
The greatest common divisor of numbers 497, 282, 100, 441 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 497, 282, 100, 441 is 1.

1. What is the GCD of 497, 282, 100, 441?

GCD of given numbers 497, 282, 100, 441 is 1

2. How to calculate the greatest common divisor of 497, 282, 100, 441?

We can find the highest common divisor of 497, 282, 100, 441 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 497, 282, 100, 441 i.e 1.

3. How can I use the GCD of 497, 282, 100, 441Calculator?

Out the numbers 497, 282, 100, 441 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.