GCD of 500, 290, 498, 357 Calculator

Given Input numbers are 500, 290, 498, 357

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

Divisors of 500 :

The positive integer divisors of 500 that completely divides 500 are.

1, 2, 4, 5, 10, 20, 25, 50, 100, 125, 250, 500

Divisors of 290 :

The positive integer divisors of 290 that completely divides 290 are.

1, 2, 5, 10, 29, 58, 145, 290

Divisors of 498 :

The positive integer divisors of 498 that completely divides 498 are.

1, 2, 3, 6, 83, 166, 249, 498

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

GCD of numbers is the greatest common divisor

So, the GCD (500, 290, 498, 357) = 1.

Given numbers are 500, 290, 498, 357

The list of prime factors of all numbers are

Prime factors of 500 are 2 x 2 x 5 x 5 x 5

Prime factors of 290 are 2 x 5 x 29

Prime factors of 498 are 2 x 3 x 83

Prime factors of 357 are 3 x 7 x 17

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

Given numbers are 500, 290, 498, 357

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

Apply this formula for all numbers.

Step1:

LCM(500, 290) = 14500

GCD(500, 290) = ( 500 x 290 ) / 14500

= 500 / 290

= 500

Step2:

LCM(10, 498) = 2490

GCD(10, 498) = ( 10 x 498 ) / 2490

= 10 / 498

= 10

Step3:

LCM(2, 357) = 714

GCD(2, 357) = ( 2 x 357 ) / 714

= 2 / 357

= 2

So, Greatest Common Divisor of 500, 290, 498, 357 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 638, 842, 833, 690
• GCD of 111, 674, 839, 182
• GCD of 174, 524, 566, 460
• GCD of 102, 516, 407, 269
• GCD of 262, 436, 721, 929

Given numbers are 500, 290, 498, 357
The greatest common divisor of numbers 500, 290, 498, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 290, 498, 357 is 1.

1. What is the GCD of 500, 290, 498, 357?

GCD of given numbers 500, 290, 498, 357 is 1

2. How to calculate the greatest common divisor of 500, 290, 498, 357?

We can find the highest common divisor of 500, 290, 498, 357 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 500, 290, 498, 357 i.e 1.

3. How can I use the GCD of 500, 290, 498, 357Calculator?

Out the numbers 500, 290, 498, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.