GCD of 491, 249, 510, 748 Calculator

Given Input numbers are 491, 249, 510, 748

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

Divisors of 491 :

The positive integer divisors of 491 that completely divides 491 are.

1, 491

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

GCD of numbers is the greatest common divisor

So, the GCD (491, 249, 510, 748) = 1.

Given numbers are 491, 249, 510, 748

The list of prime factors of all numbers are

Prime factors of 491 are 491

Prime factors of 249 are 3 x 83

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 748 are 2 x 2 x 11 x 17

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

Given numbers are 491, 249, 510, 748

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

Apply this formula for all numbers.

Step1:

LCM(491, 249) = 122259

GCD(491, 249) = ( 491 x 249 ) / 122259

= 491 / 249

= 491

Step2:

LCM(1, 510) = 510

GCD(1, 510) = ( 1 x 510 ) / 510

= 1 / 510

= 1

Step3:

LCM(1, 748) = 748

GCD(1, 748) = ( 1 x 748 ) / 748

= 1 / 748

= 1

So, Greatest Common Divisor of 491, 249, 510, 748 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 946, 470, 989, 938
• GCD of 347, 782, 909, 108
• GCD of 269, 634, 381, 422
• GCD of 426, 524, 118, 148
• GCD of 282, 301, 752, 560

Given numbers are 491, 249, 510, 748
The greatest common divisor of numbers 491, 249, 510, 748 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 491, 249, 510, 748 is 1.

1. What is the GCD of 491, 249, 510, 748?

GCD of given numbers 491, 249, 510, 748 is 1

2. How to calculate the greatest common divisor of 491, 249, 510, 748?

We can find the highest common divisor of 491, 249, 510, 748 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 491, 249, 510, 748 i.e 1.

3. How can I use the GCD of 491, 249, 510, 748Calculator?

Out the numbers 491, 249, 510, 748 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.