GCD of 490, 315, 704, 823 Calculator

Given Input numbers are 490, 315, 704, 823

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (490, 315, 704, 823) = 1.

Given numbers are 490, 315, 704, 823

The list of prime factors of all numbers are

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 823 are 823

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

Given numbers are 490, 315, 704, 823

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

Apply this formula for all numbers.

Step1:

LCM(490, 315) = 4410

GCD(490, 315) = ( 490 x 315 ) / 4410

= 490 / 315

= 490

Step2:

LCM(35, 704) = 24640

GCD(35, 704) = ( 35 x 704 ) / 24640

= 35 / 704

= 35

Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1

So, Greatest Common Divisor of 490, 315, 704, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 101, 949, 536, 241
• GCD of 747, 791, 499, 604
• GCD of 606, 767, 293, 414
• GCD of 976, 577, 534, 526
• GCD of 335, 284, 591, 922

Given numbers are 490, 315, 704, 823
The greatest common divisor of numbers 490, 315, 704, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 315, 704, 823 is 1.

1. What is the GCD of 490, 315, 704, 823?

GCD of given numbers 490, 315, 704, 823 is 1

2. How to calculate the greatest common divisor of 490, 315, 704, 823?

We can find the highest common divisor of 490, 315, 704, 823 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, 315, 704, 823 i.e 1.

3. How can I use the GCD of 490, 315, 704, 823Calculator?

Out the numbers 490, 315, 704, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.