GCD of 490, 491, 714, 440 Calculator

Given Input numbers are 490, 491, 714, 440

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

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 491 :

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

1, 491

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

GCD of numbers is the greatest common divisor

So, the GCD (490, 491, 714, 440) = 1.

Given numbers are 490, 491, 714, 440

The list of prime factors of all numbers are

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 491 are 491

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

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

Given numbers are 490, 491, 714, 440

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

Apply this formula for all numbers.

Step1:

LCM(490, 491) = 240590

GCD(490, 491) = ( 490 x 491 ) / 240590

= 490 / 491

= 490

Step2:

LCM(1, 714) = 714

GCD(1, 714) = ( 1 x 714 ) / 714

= 1 / 714

= 1

Step3:

LCM(1, 440) = 440

GCD(1, 440) = ( 1 x 440 ) / 440

= 1 / 440

= 1

So, Greatest Common Divisor of 490, 491, 714, 440 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 174, 301, 154, 340
• GCD of 149, 785, 318, 236
• GCD of 392, 641, 125, 542
• GCD of 599, 867, 688, 204
• GCD of 854, 867, 982, 564

Given numbers are 490, 491, 714, 440
The greatest common divisor of numbers 490, 491, 714, 440 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 491, 714, 440 is 1.

1. What is the GCD of 490, 491, 714, 440?

GCD of given numbers 490, 491, 714, 440 is 1

2. How to calculate the greatest common divisor of 490, 491, 714, 440?

We can find the highest common divisor of 490, 491, 714, 440 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 490, 491, 714, 440 i.e 1.

3. How can I use the GCD of 490, 491, 714, 440Calculator?

Out the numbers 490, 491, 714, 440 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.