GCD of 490, 931, 588, 973 Calculator

Given Input numbers are 490, 931, 588, 973

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 931 :

The positive integer divisors of 931 that completely divides 931 are.

1, 7, 19, 49, 133, 931

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

Divisors of 973 :

The positive integer divisors of 973 that completely divides 973 are.

1, 7, 139, 973

GCD of numbers is the greatest common divisor

So, the GCD (490, 931, 588, 973) = 7.

Given numbers are 490, 931, 588, 973

The list of prime factors of all numbers are

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

Prime factors of 931 are 7 x 7 x 19

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

Prime factors of 973 are 7 x 139

The highest common occurrence is 7¹

Therefore, GCD of 490, 931, 588, 973 is 7.

Given numbers are 490, 931, 588, 973

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

Apply this formula for all numbers.

Step1:

LCM(490, 931) = 9310

GCD(490, 931) = ( 490 x 931 ) / 9310

= 490 / 931

= 490

Step2:

LCM(49, 588) = 588

GCD(49, 588) = ( 49 x 588 ) / 588

= 49 / 588

= 49

Step3:

LCM(49, 973) = 6811

GCD(49, 973) = ( 49 x 973 ) / 6811

= 49 / 973

= 49

So, Greatest Common Divisor of 490, 931, 588, 973 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 684, 265, 132, 162
• GCD of 188, 210, 998, 920
• GCD of 939, 919, 152, 449
• GCD of 617, 320, 181, 607
• GCD of 127, 494, 105, 981

Given numbers are 490, 931, 588, 973
The greatest common divisor of numbers 490, 931, 588, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 931, 588, 973 is 7.

1. What is the GCD of 490, 931, 588, 973?

GCD of given numbers 490, 931, 588, 973 is 7

2. How to calculate the greatest common divisor of 490, 931, 588, 973?

We can find the highest common divisor of 490, 931, 588, 973 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, 931, 588, 973 i.e 7.

3. How can I use the GCD of 490, 931, 588, 973Calculator?

Out the numbers 490, 931, 588, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.