GCD of 272, 130, 606, 708 Calculator

Given Input numbers are 272, 130, 606, 708

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

Divisors of 272 :

The positive integer divisors of 272 that completely divides 272 are.

1, 2, 4, 8, 16, 17, 34, 68, 136, 272

Divisors of 130 :

The positive integer divisors of 130 that completely divides 130 are.

1, 2, 5, 10, 13, 26, 65, 130

Divisors of 606 :

The positive integer divisors of 606 that completely divides 606 are.

1, 2, 3, 6, 101, 202, 303, 606

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 (272, 130, 606, 708) = 2.

Given numbers are 272, 130, 606, 708

The list of prime factors of all numbers are

Prime factors of 272 are 2 x 2 x 2 x 2 x 17

Prime factors of 130 are 2 x 5 x 13

Prime factors of 606 are 2 x 3 x 101

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

The highest common occurrence is 2¹

Therefore, GCD of 272, 130, 606, 708 is 2.

Given numbers are 272, 130, 606, 708

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

Apply this formula for all numbers.

Step1:

LCM(272, 130) = 17680

GCD(272, 130) = ( 272 x 130 ) / 17680

= 272 / 130

= 272

Step2:

LCM(2, 606) = 606

GCD(2, 606) = ( 2 x 606 ) / 606

= 2 / 606

= 2

Step3:

LCM(2, 708) = 708

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

= 2 / 708

= 2

So, Greatest Common Divisor of 272, 130, 606, 708 is 2

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Given numbers are 272, 130, 606, 708
The greatest common divisor of numbers 272, 130, 606, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 130, 606, 708 is 2.

1. What is the GCD of 272, 130, 606, 708?

GCD of given numbers 272, 130, 606, 708 is 2

2. How to calculate the greatest common divisor of 272, 130, 606, 708?

We can find the highest common divisor of 272, 130, 606, 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 272, 130, 606, 708 i.e 2.

3. How can I use the GCD of 272, 130, 606, 708Calculator?

Out the numbers 272, 130, 606, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.