GCD of 490, 581, 724, 976 Calculator

Given Input numbers are 490, 581, 724, 976

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 581 :

The positive integer divisors of 581 that completely divides 581 are.

1, 7, 83, 581

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

GCD of numbers is the greatest common divisor

So, the GCD (490, 581, 724, 976) = 1.

Given numbers are 490, 581, 724, 976

The list of prime factors of all numbers are

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

Prime factors of 581 are 7 x 83

Prime factors of 724 are 2 x 2 x 181

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

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

Given numbers are 490, 581, 724, 976

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

Apply this formula for all numbers.

Step1:

LCM(490, 581) = 40670

GCD(490, 581) = ( 490 x 581 ) / 40670

= 490 / 581

= 490

Step2:

LCM(7, 724) = 5068

GCD(7, 724) = ( 7 x 724 ) / 5068

= 7 / 724

= 7

Step3:

LCM(1, 976) = 976

GCD(1, 976) = ( 1 x 976 ) / 976

= 1 / 976

= 1

So, Greatest Common Divisor of 490, 581, 724, 976 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 907, 109, 293, 760
• GCD of 508, 405, 223, 210
• GCD of 732, 487, 768, 117
• GCD of 601, 509, 676, 385
• GCD of 638, 972, 475, 996

Given numbers are 490, 581, 724, 976
The greatest common divisor of numbers 490, 581, 724, 976 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 581, 724, 976 is 1.

1. What is the GCD of 490, 581, 724, 976?

GCD of given numbers 490, 581, 724, 976 is 1

2. How to calculate the greatest common divisor of 490, 581, 724, 976?

We can find the highest common divisor of 490, 581, 724, 976 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, 581, 724, 976 i.e 1.

3. How can I use the GCD of 490, 581, 724, 976Calculator?

Out the numbers 490, 581, 724, 976 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.