GCD of 686, 109, 508, 270 Calculator

Given Input numbers are 686, 109, 508, 270

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

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 109 :

The positive integer divisors of 109 that completely divides 109 are.

1, 109

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (686, 109, 508, 270) = 1.

Given numbers are 686, 109, 508, 270

The list of prime factors of all numbers are

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 109 are 109

Prime factors of 508 are 2 x 2 x 127

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

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

Given numbers are 686, 109, 508, 270

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

Apply this formula for all numbers.

Step1:

LCM(686, 109) = 74774

GCD(686, 109) = ( 686 x 109 ) / 74774

= 686 / 109

= 686

Step2:

LCM(1, 508) = 508

GCD(1, 508) = ( 1 x 508 ) / 508

= 1 / 508

= 1

Step3:

LCM(1, 270) = 270

GCD(1, 270) = ( 1 x 270 ) / 270

= 1 / 270

= 1

So, Greatest Common Divisor of 686, 109, 508, 270 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 433, 672, 477, 128
• GCD of 314, 609, 161, 415
• GCD of 648, 237, 577, 574
• GCD of 906, 874, 191, 619
• GCD of 969, 495, 473, 645

Given numbers are 686, 109, 508, 270
The greatest common divisor of numbers 686, 109, 508, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 109, 508, 270 is 1.

1. What is the GCD of 686, 109, 508, 270?

GCD of given numbers 686, 109, 508, 270 is 1

2. How to calculate the greatest common divisor of 686, 109, 508, 270?

We can find the highest common divisor of 686, 109, 508, 270 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 686, 109, 508, 270 i.e 1.

3. How can I use the GCD of 686, 109, 508, 270Calculator?

Out the numbers 686, 109, 508, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.