GCD of 257, 398, 550, 720 Calculator

Given Input numbers are 257, 398, 550, 720

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

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

Divisors of 398 :

The positive integer divisors of 398 that completely divides 398 are.

1, 2, 199, 398

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (257, 398, 550, 720) = 1.

Given numbers are 257, 398, 550, 720

The list of prime factors of all numbers are

Prime factors of 257 are 257

Prime factors of 398 are 2 x 199

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 257, 398, 550, 720

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

Apply this formula for all numbers.

Step1:

LCM(257, 398) = 102286

GCD(257, 398) = ( 257 x 398 ) / 102286

= 257 / 398

= 257

Step2:

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

= 1 / 550

= 1

Step3:

LCM(1, 720) = 720

GCD(1, 720) = ( 1 x 720 ) / 720

= 1 / 720

= 1

So, Greatest Common Divisor of 257, 398, 550, 720 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 839, 332, 595, 985
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• GCD of 595, 672, 865, 502
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Given numbers are 257, 398, 550, 720
The greatest common divisor of numbers 257, 398, 550, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 257, 398, 550, 720 is 1.

1. What is the GCD of 257, 398, 550, 720?

GCD of given numbers 257, 398, 550, 720 is 1

2. How to calculate the greatest common divisor of 257, 398, 550, 720?

We can find the highest common divisor of 257, 398, 550, 720 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 257, 398, 550, 720 i.e 1.

3. How can I use the GCD of 257, 398, 550, 720Calculator?

Out the numbers 257, 398, 550, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.