GCD of 731, 645, 490, 364 Calculator

Given Input numbers are 731, 645, 490, 364

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 645 :

The positive integer divisors of 645 that completely divides 645 are.

1, 3, 5, 15, 43, 129, 215, 645

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 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (731, 645, 490, 364) = 1.

Given numbers are 731, 645, 490, 364

The list of prime factors of all numbers are

Prime factors of 731 are 17 x 43

Prime factors of 645 are 3 x 5 x 43

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

Prime factors of 364 are 2 x 2 x 7 x 13

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

Given numbers are 731, 645, 490, 364

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

Apply this formula for all numbers.

Step1:

LCM(731, 645) = 10965

GCD(731, 645) = ( 731 x 645 ) / 10965

= 731 / 645

= 731

Step2:

LCM(43, 490) = 21070

GCD(43, 490) = ( 43 x 490 ) / 21070

= 43 / 490

= 43

Step3:

LCM(1, 364) = 364

GCD(1, 364) = ( 1 x 364 ) / 364

= 1 / 364

= 1

So, Greatest Common Divisor of 731, 645, 490, 364 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 935, 344, 319, 493
• GCD of 687, 696, 665, 580
• GCD of 258, 768, 511, 801
• GCD of 138, 526, 179, 616
• GCD of 661, 758, 929, 954

Given numbers are 731, 645, 490, 364
The greatest common divisor of numbers 731, 645, 490, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 731, 645, 490, 364 is 1.

1. What is the GCD of 731, 645, 490, 364?

GCD of given numbers 731, 645, 490, 364 is 1

2. How to calculate the greatest common divisor of 731, 645, 490, 364?

We can find the highest common divisor of 731, 645, 490, 364 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 731, 645, 490, 364 i.e 1.

3. How can I use the GCD of 731, 645, 490, 364Calculator?

Out the numbers 731, 645, 490, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.