GCD of 490, 575, 131, 280 Calculator

Given Input numbers are 490, 575, 131, 280

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 575 :

The positive integer divisors of 575 that completely divides 575 are.

1, 5, 23, 25, 115, 575

Divisors of 131 :

The positive integer divisors of 131 that completely divides 131 are.

1, 131

Divisors of 280 :

The positive integer divisors of 280 that completely divides 280 are.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280

GCD of numbers is the greatest common divisor

So, the GCD (490, 575, 131, 280) = 1.

Given numbers are 490, 575, 131, 280

The list of prime factors of all numbers are

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

Prime factors of 575 are 5 x 5 x 23

Prime factors of 131 are 131

Prime factors of 280 are 2 x 2 x 2 x 5 x 7

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

Given numbers are 490, 575, 131, 280

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

Apply this formula for all numbers.

Step1:

LCM(490, 575) = 56350

GCD(490, 575) = ( 490 x 575 ) / 56350

= 490 / 575

= 490

Step2:

LCM(5, 131) = 655

GCD(5, 131) = ( 5 x 131 ) / 655

= 5 / 131

= 5

Step3:

LCM(1, 280) = 280

GCD(1, 280) = ( 1 x 280 ) / 280

= 1 / 280

= 1

So, Greatest Common Divisor of 490, 575, 131, 280 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 423, 884, 495
• GCD of 547, 922, 682, 426
• GCD of 335, 651, 354, 159
• GCD of 991, 394, 613, 865
• GCD of 418, 430, 774, 435

Given numbers are 490, 575, 131, 280
The greatest common divisor of numbers 490, 575, 131, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 490, 575, 131, 280 is 1.

1. What is the GCD of 490, 575, 131, 280?

GCD of given numbers 490, 575, 131, 280 is 1

2. How to calculate the greatest common divisor of 490, 575, 131, 280?

We can find the highest common divisor of 490, 575, 131, 280 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, 575, 131, 280 i.e 1.

3. How can I use the GCD of 490, 575, 131, 280Calculator?

Out the numbers 490, 575, 131, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.