GCD of 280, 126, 508, 313 Calculator

Given Input numbers are 280, 126, 508, 313

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

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 508 :

The positive integer divisors of 508 that completely divides 508 are.

1, 2, 4, 127, 254, 508

Divisors of 313 :

The positive integer divisors of 313 that completely divides 313 are.

1, 313

GCD of numbers is the greatest common divisor

So, the GCD (280, 126, 508, 313) = 1.

Given numbers are 280, 126, 508, 313

The list of prime factors of all numbers are

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

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 508 are 2 x 2 x 127

Prime factors of 313 are 313

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

Given numbers are 280, 126, 508, 313

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

Apply this formula for all numbers.

Step1:

LCM(280, 126) = 2520

GCD(280, 126) = ( 280 x 126 ) / 2520

= 280 / 126

= 280

Step2:

LCM(14, 508) = 3556

GCD(14, 508) = ( 14 x 508 ) / 3556

= 14 / 508

= 14

Step3:

LCM(2, 313) = 626

GCD(2, 313) = ( 2 x 313 ) / 626

= 2 / 313

= 2

So, Greatest Common Divisor of 280, 126, 508, 313 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 976, 813, 690
• GCD of 990, 981, 765, 826
• GCD of 879, 808, 836, 460
• GCD of 415, 278, 641, 376
• GCD of 363, 833, 606, 329

Given numbers are 280, 126, 508, 313
The greatest common divisor of numbers 280, 126, 508, 313 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 280, 126, 508, 313 is 1.

1. What is the GCD of 280, 126, 508, 313?

GCD of given numbers 280, 126, 508, 313 is 1

2. How to calculate the greatest common divisor of 280, 126, 508, 313?

We can find the highest common divisor of 280, 126, 508, 313 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 280, 126, 508, 313 i.e 1.

3. How can I use the GCD of 280, 126, 508, 313Calculator?

Out the numbers 280, 126, 508, 313 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.