GCD of 270, 508, 730, 714 Calculator

Given Input numbers are 270, 508, 730, 714

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

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

Divisors of 508 :

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

1, 2, 4, 127, 254, 508

Divisors of 730 :

The positive integer divisors of 730 that completely divides 730 are.

1, 2, 5, 10, 73, 146, 365, 730

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

GCD of numbers is the greatest common divisor

So, the GCD (270, 508, 730, 714) = 2.

Given numbers are 270, 508, 730, 714

The list of prime factors of all numbers are

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

Prime factors of 508 are 2 x 2 x 127

Prime factors of 730 are 2 x 5 x 73

Prime factors of 714 are 2 x 3 x 7 x 17

The highest common occurrence is 2¹

Therefore, GCD of 270, 508, 730, 714 is 2.

Given numbers are 270, 508, 730, 714

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

Apply this formula for all numbers.

Step1:

LCM(270, 508) = 68580

GCD(270, 508) = ( 270 x 508 ) / 68580

= 270 / 508

= 270

Step2:

LCM(2, 730) = 730

GCD(2, 730) = ( 2 x 730 ) / 730

= 2 / 730

= 2

Step3:

LCM(2, 714) = 714

GCD(2, 714) = ( 2 x 714 ) / 714

= 2 / 714

= 2

So, Greatest Common Divisor of 270, 508, 730, 714 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 644, 767, 261, 687
• GCD of 454, 766, 856, 852
• GCD of 494, 615, 883, 273
• GCD of 859, 615, 548, 246
• GCD of 297, 668, 440, 917

Given numbers are 270, 508, 730, 714
The greatest common divisor of numbers 270, 508, 730, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 508, 730, 714 is 2.

1. What is the GCD of 270, 508, 730, 714?

GCD of given numbers 270, 508, 730, 714 is 2

2. How to calculate the greatest common divisor of 270, 508, 730, 714?

We can find the highest common divisor of 270, 508, 730, 714 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 270, 508, 730, 714 i.e 2.

3. How can I use the GCD of 270, 508, 730, 714Calculator?

Out the numbers 270, 508, 730, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.