GCD of 272, 216, 649, 118 Calculator

Given Input numbers are 272, 216, 649, 118

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 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 649 :

The positive integer divisors of 649 that completely divides 649 are.

1, 11, 59, 649

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

GCD of numbers is the greatest common divisor

So, the GCD (272, 216, 649, 118) = 1.

Given numbers are 272, 216, 649, 118

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 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 649 are 11 x 59

Prime factors of 118 are 2 x 59

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

Given numbers are 272, 216, 649, 118

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

Apply this formula for all numbers.

Step1:

LCM(272, 216) = 7344

GCD(272, 216) = ( 272 x 216 ) / 7344

= 272 / 216

= 272

Step2:

LCM(8, 649) = 5192

GCD(8, 649) = ( 8 x 649 ) / 5192

= 8 / 649

= 8

Step3:

LCM(1, 118) = 118

GCD(1, 118) = ( 1 x 118 ) / 118

= 1 / 118

= 1

So, Greatest Common Divisor of 272, 216, 649, 118 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 475, 120, 679, 503
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• GCD of 968, 669, 901, 172
• GCD of 870, 399, 421, 351
• GCD of 172, 107, 790, 920

Given numbers are 272, 216, 649, 118
The greatest common divisor of numbers 272, 216, 649, 118 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 216, 649, 118 is 1.

1. What is the GCD of 272, 216, 649, 118?

GCD of given numbers 272, 216, 649, 118 is 1

2. How to calculate the greatest common divisor of 272, 216, 649, 118?

We can find the highest common divisor of 272, 216, 649, 118 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, 216, 649, 118 i.e 1.

3. How can I use the GCD of 272, 216, 649, 118Calculator?

Out the numbers 272, 216, 649, 118 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.