GCD of 871, 656, 490, 497 Calculator

Given Input numbers are 871, 656, 490, 497

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

Divisors of 871 :

The positive integer divisors of 871 that completely divides 871 are.

1, 13, 67, 871

Divisors of 656 :

The positive integer divisors of 656 that completely divides 656 are.

1, 2, 4, 8, 16, 41, 82, 164, 328, 656

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 497 :

The positive integer divisors of 497 that completely divides 497 are.

1, 7, 71, 497

GCD of numbers is the greatest common divisor

So, the GCD (871, 656, 490, 497) = 1.

Given numbers are 871, 656, 490, 497

The list of prime factors of all numbers are

Prime factors of 871 are 13 x 67

Prime factors of 656 are 2 x 2 x 2 x 2 x 41

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

Prime factors of 497 are 7 x 71

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

Given numbers are 871, 656, 490, 497

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

Apply this formula for all numbers.

Step1:

LCM(871, 656) = 571376

GCD(871, 656) = ( 871 x 656 ) / 571376

= 871 / 656

= 871

Step2:

LCM(1, 490) = 490

GCD(1, 490) = ( 1 x 490 ) / 490

= 1 / 490

= 1

Step3:

LCM(1, 497) = 497

GCD(1, 497) = ( 1 x 497 ) / 497

= 1 / 497

= 1

So, Greatest Common Divisor of 871, 656, 490, 497 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 765, 940, 468, 817
• GCD of 925, 153, 281, 529
• GCD of 696, 108, 278, 730
• GCD of 532, 751, 963, 598
• GCD of 267, 584, 556, 246

Given numbers are 871, 656, 490, 497
The greatest common divisor of numbers 871, 656, 490, 497 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 871, 656, 490, 497 is 1.

1. What is the GCD of 871, 656, 490, 497?

GCD of given numbers 871, 656, 490, 497 is 1

2. How to calculate the greatest common divisor of 871, 656, 490, 497?

We can find the highest common divisor of 871, 656, 490, 497 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 871, 656, 490, 497 i.e 1.

3. How can I use the GCD of 871, 656, 490, 497Calculator?

Out the numbers 871, 656, 490, 497 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.