GCD of 500, 265, 938, 521 Calculator

Given Input numbers are 500, 265, 938, 521

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 265 :

The positive integer divisors of 265 that completely divides 265 are.

1, 5, 53, 265

Divisors of 938 :

The positive integer divisors of 938 that completely divides 938 are.

1, 2, 7, 14, 67, 134, 469, 938

Divisors of 521 :

The positive integer divisors of 521 that completely divides 521 are.

1, 521

GCD of numbers is the greatest common divisor

So, the GCD (500, 265, 938, 521) = 1.

Given numbers are 500, 265, 938, 521

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 265 are 5 x 53

Prime factors of 938 are 2 x 7 x 67

Prime factors of 521 are 521

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

Given numbers are 500, 265, 938, 521

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

Apply this formula for all numbers.

Step1:

LCM(500, 265) = 26500

GCD(500, 265) = ( 500 x 265 ) / 26500

= 500 / 265

= 500

Step2:

LCM(5, 938) = 4690

GCD(5, 938) = ( 5 x 938 ) / 4690

= 5 / 938

= 5

Step3:

LCM(1, 521) = 521

GCD(1, 521) = ( 1 x 521 ) / 521

= 1 / 521

= 1

So, Greatest Common Divisor of 500, 265, 938, 521 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 992, 924, 768, 569
• GCD of 156, 137, 648, 187
• GCD of 385, 532, 711, 865
• GCD of 258, 658, 581, 536
• GCD of 696, 142, 710, 495

Given numbers are 500, 265, 938, 521
The greatest common divisor of numbers 500, 265, 938, 521 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 500, 265, 938, 521 is 1.

1. What is the GCD of 500, 265, 938, 521?

GCD of given numbers 500, 265, 938, 521 is 1

2. How to calculate the greatest common divisor of 500, 265, 938, 521?

We can find the highest common divisor of 500, 265, 938, 521 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, 265, 938, 521 i.e 1.

3. How can I use the GCD of 500, 265, 938, 521Calculator?

Out the numbers 500, 265, 938, 521 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.