GCD of 272, 714, 745, 431 Calculator

Given Input numbers are 272, 714, 745, 431

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 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 431 :

The positive integer divisors of 431 that completely divides 431 are.

1, 431

GCD of numbers is the greatest common divisor

So, the GCD (272, 714, 745, 431) = 1.

Given numbers are 272, 714, 745, 431

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 745 are 5 x 149

Prime factors of 431 are 431

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

Given numbers are 272, 714, 745, 431

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, 745) = 25330

GCD(34, 745) = ( 34 x 745 ) / 25330

= 34 / 745

= 34

Step3:

LCM(1, 431) = 431

GCD(1, 431) = ( 1 x 431 ) / 431

= 1 / 431

= 1

So, Greatest Common Divisor of 272, 714, 745, 431 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 965, 688, 797, 459
• GCD of 910, 529, 867, 782
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• GCD of 936, 989, 278, 474

Given numbers are 272, 714, 745, 431
The greatest common divisor of numbers 272, 714, 745, 431 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 272, 714, 745, 431 is 1.

1. What is the GCD of 272, 714, 745, 431?

GCD of given numbers 272, 714, 745, 431 is 1

2. How to calculate the greatest common divisor of 272, 714, 745, 431?

We can find the highest common divisor of 272, 714, 745, 431 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, 745, 431 i.e 1.

3. How can I use the GCD of 272, 714, 745, 431Calculator?

Out the numbers 272, 714, 745, 431 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.