GCD of 272, 988, 690, 578 Calculator

Given Input numbers are 272, 988, 690, 578

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 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

GCD of numbers is the greatest common divisor

So, the GCD (272, 988, 690, 578) = 2.

Given numbers are 272, 988, 690, 578

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 988 are 2 x 2 x 13 x 19

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 578 are 2 x 17 x 17

The highest common occurrence is 2¹

Therefore, GCD of 272, 988, 690, 578 is 2.

Given numbers are 272, 988, 690, 578

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

Apply this formula for all numbers.

Step1:

LCM(272, 988) = 67184

GCD(272, 988) = ( 272 x 988 ) / 67184

= 272 / 988

= 272

Step2:

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

= 4 / 690

= 4

Step3:

LCM(2, 578) = 578

GCD(2, 578) = ( 2 x 578 ) / 578

= 2 / 578

= 2

So, Greatest Common Divisor of 272, 988, 690, 578 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 906, 638, 265, 428
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Given numbers are 272, 988, 690, 578
The greatest common divisor of numbers 272, 988, 690, 578 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 988, 690, 578 is 2.

1. What is the GCD of 272, 988, 690, 578?

GCD of given numbers 272, 988, 690, 578 is 2

2. How to calculate the greatest common divisor of 272, 988, 690, 578?

We can find the highest common divisor of 272, 988, 690, 578 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, 988, 690, 578 i.e 2.

3. How can I use the GCD of 272, 988, 690, 578Calculator?

Out the numbers 272, 988, 690, 578 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.