GCD of 270, 860, 516, 708 Calculator

Given Input numbers are 270, 860, 516, 708

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 860 :

The positive integer divisors of 860 that completely divides 860 are.

1, 2, 4, 5, 10, 20, 43, 86, 172, 215, 430, 860

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

GCD of numbers is the greatest common divisor

So, the GCD (270, 860, 516, 708) = 2.

Given numbers are 270, 860, 516, 708

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 860 are 2 x 2 x 5 x 43

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 708 are 2 x 2 x 3 x 59

The highest common occurrence is 2¹

Therefore, GCD of 270, 860, 516, 708 is 2.

Given numbers are 270, 860, 516, 708

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

Apply this formula for all numbers.

Step1:

LCM(270, 860) = 23220

GCD(270, 860) = ( 270 x 860 ) / 23220

= 270 / 860

= 270

Step2:

LCM(10, 516) = 2580

GCD(10, 516) = ( 10 x 516 ) / 2580

= 10 / 516

= 10

Step3:

LCM(2, 708) = 708

GCD(2, 708) = ( 2 x 708 ) / 708

= 2 / 708

= 2

So, Greatest Common Divisor of 270, 860, 516, 708 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 302, 562, 393, 400
• GCD of 852, 618, 877, 464
• GCD of 208, 887, 172, 167
• GCD of 316, 117, 328, 678
• GCD of 194, 339, 862, 309

Given numbers are 270, 860, 516, 708
The greatest common divisor of numbers 270, 860, 516, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 270, 860, 516, 708 is 2.

1. What is the GCD of 270, 860, 516, 708?

GCD of given numbers 270, 860, 516, 708 is 2

2. How to calculate the greatest common divisor of 270, 860, 516, 708?

We can find the highest common divisor of 270, 860, 516, 708 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, 860, 516, 708 i.e 2.

3. How can I use the GCD of 270, 860, 516, 708Calculator?

Out the numbers 270, 860, 516, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.