GCD of 272, 714, 61, 144 Calculator

Given Input numbers are 272, 714, 61, 144

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 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

Divisors of 61 :

The positive integer divisors of 61 that completely divides 61 are.

1, 61

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (272, 714, 61, 144) = 1.

Given numbers are 272, 714, 61, 144

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 714 are 2 x 3 x 7 x 17

Prime factors of 61 are 61

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 272, 714, 61, 144

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

Apply this formula for all numbers.

Step1:

LCM(272, 714) = 5712

GCD(272, 714) = ( 272 x 714 ) / 5712

= 272 / 714

= 272

Step2:

LCM(34, 61) = 2074

GCD(34, 61) = ( 34 x 61 ) / 2074

= 34 / 61

= 34

Step3:

LCM(1, 144) = 144

GCD(1, 144) = ( 1 x 144 ) / 144

= 1 / 144

= 1

So, Greatest Common Divisor of 272, 714, 61, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 356, 698, 63, 301
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• GCD of 725, 442, 23, 538

Given numbers are 272, 714, 61, 144
The greatest common divisor of numbers 272, 714, 61, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 714, 61, 144 is 1.

1. What is the GCD of 272, 714, 61, 144?

GCD of given numbers 272, 714, 61, 144 is 1

2. How to calculate the greatest common divisor of 272, 714, 61, 144?

We can find the highest common divisor of 272, 714, 61, 144 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, 714, 61, 144 i.e 1.

3. How can I use the GCD of 272, 714, 61, 144Calculator?

Out the numbers 272, 714, 61, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.